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INFORMATIONAL
Network Working Group                                          M. CooperRequest for Comments: 4158                      Orion Security SolutionsCategory: Informational                                     Y. Dzambasow                                                          A&N Associates                                                                P. Hesse                                               Gemini Security Solutions                                                               S. Joseph                                                   Van Dyke Technologies                                                             R. Nicholas                                                             BAE Systems                                                          September 2005Internet X.509 Public Key Infrastructure:Certification Path BuildingStatus of This Memo   This memo provides information for the Internet community.  It does   not specify an Internet standard of any kind.  Distribution of this   memo is unlimited.Copyright Notice   Copyright (C) The Internet Society (2005).Abstract   This document provides guidance and recommendations to developers   building X.509 public-key certification paths within their   applications.  By following the guidance and recommendations defined   in this document, an application developer is more likely to develop   a robust X.509 certificate-enabled application that can build valid   certification paths across a wide range of PKI environments.Table of Contents1. Introduction ....................................................31.1. Motivation .................................................41.2. Purpose ....................................................41.3. Terminology ................................................51.4. Notation ...................................................81.5. Overview of PKI Structures .................................81.5.1. Hierarchical Structures .............................81.5.2. Mesh Structures ....................................101.5.3. Bi-Lateral Cross-Certified Structures ..............111.5.4. Bridge Structures ..................................131.6. Bridge Structures and Certification Path Processing .......14Cooper, et al.               Informational                      [Page 1]

RFC 4158              Certification Path Building         September 20052. Certification Path Building ....................................152.1. Introduction to Certification Path Building ...............152.2. Criteria for Path Building ................................162.3. Path-Building Algorithms ..................................172.4. How to Build a Certification Path .........................212.4.1. Certificate Repetition .............................232.4.2. Introduction to Path-Building Optimization .........24      2.5. Building Certification Paths for Revocation Signer           Certificates ..............................................302.6. Suggested Path-Building Software Components ...............312.7. Inputs to the Path-Building Module ........................332.7.1. Required Inputs ....................................332.7.2. Optional Inputs ....................................343. Optimizing Path Building .......................................353.1. Optimized Path Building ...................................353.2. Sorting vs. Elimination ...................................383.3. Representing the Decision Tree ............................413.3.1. Node Representation for CA Entities ................413.3.2. Using Nodes to Iterate Over All Paths ..............423.4. Implementing Path-Building Optimization ...................453.5. Selected Methods for Sorting Certificates .................463.5.1. basicConstraints Is Present and cA Equals True .....473.5.2. Recognized Signature Algorithms ....................483.5.3. keyUsage Is Correct ................................483.5.4. Time (T) Falls within the Certificate Validity .....483.5.5. Certificate Was Previously Validated ...............493.5.6. Previously Verified Signatures .....................493.5.7. Path Length Constraints ............................503.5.8. Name Constraints ...................................503.5.9. Certificate Is Not Revoked .........................513.5.10. Issuer Found in the Path Cache ....................523.5.11. Issuer Found in the Application Protocol ..........523.5.12. Matching Key Identifiers (KIDs) ...................523.5.13. Policy Processing .................................533.5.14. Policies Intersect the Sought Policy Set ..........543.5.15. Endpoint Distinguished Name (DN) Matching .........553.5.16. Relative Distinguished Name (RDN) Matching ........55           3.5.17. Certificates are Retrieved from                   cACertificate Directory Attribute .................563.5.18. Consistent Public Key and Signature Algorithms ....563.5.19. Similar Issuer and Subject Names ..................573.5.20. Certificates in the Certification Cache ...........573.5.21. Current CRL Found in Local Cache ..................58      3.6. Certificate Sorting Methods for Revocation Signer           Certification Paths .......................................583.6.1. Identical Trust Anchors ............................583.6.2. Endpoint Distinguished Name (DN) Matching ..........593.6.3. Relative Distinguished Name (RDN) Matching .........59Cooper, et al.               Informational                      [Page 2]

RFC 4158              Certification Path Building         September 20053.6.4. Identical Intermediate Names .......................604. Forward Policy Chaining ........................................604.1. Simple Intersection .......................................614.2. Policy Mapping ............................................624.3. Assigning Scores for Forward Policy Chaining ..............635. Avoiding Path-Building Errors ..................................645.1. Dead Ends .................................................645.2. Loop Detection ............................................655.3. Use of Key Identifiers ....................................665.4. Distinguished Name Encoding ...............................666. Retrieval Methods ..............................................676.1. Directories Using LDAP ....................................676.2. Certificate Store Access via HTTP .........................696.3. Authority Information Access ..............................696.4. Subject Information Access ................................706.5. CRL Distribution Points ...................................706.6. Data Obtained via Application Protocol ....................716.7. Proprietary Mechanisms ....................................717. Improving Retrieval Performance ................................717.1. Caching ...................................................727.2. Retrieval Order ...........................................737.3. Parallel Fetching and Prefetching .........................738. Security Considerations ........................................748.1. General Considerations for Building a Certification Path ..74      8.2. Specific Considerations for Building Revocation           Signer Paths ..............................................759. Acknowledgements ...............................................7810. Normative References ..........................................7811. Informative References ........................................781.  Introduction   [X.509] public key certificates have become an accepted method for   securely binding the identity of an individual or device to a public   key, in order to support public key cryptographic operations such as   digital signature verification and public key-based encryption.   However, prior to using the public key contained in a certificate, an   application first has to determine the authenticity of that   certificate, and specifically, the validity of all the certificates   leading to a trusted public key, called a trust anchor.  Through   validating this certification path, the assertion of the binding made   between the identity and the public key in each of the certificates   can be traced back to a single trust anchor.   The process by which an application determines this authenticity of a   certificate is called certification path processing.  Certification   path processing establishes a chain of trust between a trust anchor   and a certificate.  This chain of trust is composed of a series ofCooper, et al.               Informational                      [Page 3]

RFC 4158              Certification Path Building         September 2005   certificates known as a certification path.  A certification path   begins with a certificate whose signature can be verified using a   trust anchor and ends with the target certificate.  Path processing   entails building and validating the certification path to determine   whether a target certificate is appropriate for use in a particular   application context.  SeeSection 3.2 of [RFC3280] for more   information on certification paths and trust.1.1.  Motivation   Many other documents (such as [RFC3280]) cover certification path   validation requirements and procedures in detail but do not discuss   certification path building because the means used to find the path   does not affect its validation.  This document therefore is an effort   to provide useful guidance for developers of certification path-   building implementations.   Additionally, the need to develop complex certification paths is   increasing.  Many PKIs are now using complex structures (seeSection1.5) rather than simple hierarchies.  Additionally, some enterprises   are gradually moving away from trust lists filled with many trust   anchors, and toward an infrastructure with one trust anchor and many   cross-certified relationships.  This document provides helpful   information for developing certification paths in these more   complicated situations.1.2.  Purpose   This document provides information and guidance for certification   path building.  There are no requirements or protocol specifications   in this document.  This document provides many options for performing   certification path building, as opposed to just one particular way.   This document draws upon the authors' experiences with existing   complex certification paths to offer insights and recommendations to   developers who are integrating support for [X.509] certificates into   their applications.   In addition, this document suggests using an effective general   approach to path building that involves a depth first tree traversal.   While the authors believe this approach offers the balance of   simplicity in design with very effective and infrastructure-neutral   path-building capabilities, the algorithm is no more than a suggested   approach.  Other approaches (e.g., breadth first tree traversals)   exist and may be shown to be more effective under certain conditions.   Certification path validation is described in detail in both [X.509]   and [RFC3280] and is not repeated in this document.Cooper, et al.               Informational                      [Page 4]

RFC 4158              Certification Path Building         September 2005   This document does not provide guidance for building the   certification path from an end entity certificate to a proxy   certificate as described in [RFC3820].1.3.  Terminology   Terms used throughout this document will be used in the following   ways:   Building in the Forward direction: The process of building a      certification path from the target certificate to a trust anchor.      'Forward' is the former name of the crossCertificatePair element      'issuedToThisCA'.   Building in the Reverse direction: The process of building a      certification path from a trust anchor to the target certificate.      'Reverse' is the former name of the crossCertificatePair element      'issuedByThisCA'.   Certificate:  A digital binding that cannot be counterfeited between      a named entity and a public key.   Certificate Graph:  A graph that represents the entire PKI (or all      cross-certified PKIs) in which all named entities are viewed as      nodes and all certificates are viewed as arcs between nodes.   Certificate Processing System:  An application or device that      performs the functions of certification path building and      certification path validation.   Certification Authority (CA):  An entity that issues and manages      certificates.   Certification Path:  An ordered list of certificates starting with a      certificate signed by a trust anchor and ending with the target      certificate.   Certification Path Building:  The process used to assemble the      certification path between the trust anchor and the target      certificate.   Certification Path Validation:  The process that verifies the binding      between the subject and the subject-public-key defined in the      target certificate, using a trust anchor and set of known      constraints.Cooper, et al.               Informational                      [Page 5]

RFC 4158              Certification Path Building         September 2005   Certificate Revocation List (CRL):  A signed, time stamped list      identifying a set of certificates that are no longer considered      valid by the certificate issuer.   CRL Signer Certificate: The specific certificate that may be used for      verifying the signature on a CRL issued by, or on behalf of, a      specific CA.   Cross-Certificate:  A certificate issued by one CA to another CA for      the purpose of establishing a trust relationship between the two      CAs.   Cross-Certification:  The act of issuing cross-certificates.   Decision Tree:  When the path-building software has multiple      certificates to choose from, and must make a decision, the      collection of possible choices is called a decision tree.   Directory:  Generally used to refer an LDAP accessible repository for      certificates and PKI information.  The term may also be used      generically to refer to any certificate storing repository.   End Entity:  The holder of a private key and corresponding      certificate, whose identity is defined as the Subject of the      certificate.  Human end entities are often called "subscribers".   Is-revocation-signer indicator:  A boolean flag furnished to the      path-building software.  If set, this indicates that the target      certificate is a Revocation Signer certificate for a specific CA.      For example, if building a certification path for an indirect CRL      Signer certificate, this flag would be set.   Local PKI:  The set of PKI components and data (certificates,      directories, CRLs, etc.) that are created and used by the      certificate using organization.  In general, this concept refers      to the components that are in close proximity to the certificate      using application.  The assumption is that the local data is more      easily accessible and/or inexpensive to retrieve than non-local      PKI data.   Local Realm: See Local PKI.   Node (in a certificate graph): The collection of certificates having      identical subject distinguished names.   Online Certificate Status Protocol (OCSP): An Internet protocol used      by a client to obtain the revocation status of a certificate from      a server.Cooper, et al.               Informational                      [Page 6]

RFC 4158              Certification Path Building         September 2005   OCSP Response Signer Certificate:  The specific certificate that may      be used for verifying the signature on an OCSP response.  This      response may be provided by the CA, on behalf of the CA, or by a      different signer as determined by the Relying Party's local      policy.   Public Key Infrastructure (PKI):  The set of hardware, software,      personnel, policy, and procedures used by a CA to issue and manage      certificates.   Relying Party (RP):  An application or entity that processes      certificates for the purpose of 1) verifying a digital signature,      2) authenticating another entity, or 3) establishing confidential      communications.   Revocation Signer Certificate:  Refers collectively to either a CRL      Signer Certificate or OCSP Response Signer Certificate.   Target Certificate:  The certificate that is to be validated by a      Relying Party.  It is the "Certificate targeted for validation".      Although frequently this is the End Entity or a leaf node in the      PKI structure, this could also be a CA certificate if a CA      certificate is being validated. (e.g., This could be for the      purpose of building and validating a certification path for the      signer of a CRL.)   Trust (of public keys): In the scope of this document, a public key      is considered trustworthy if the certificate containing the public      key can be validated according to the procedures in [RFC3280].   Trust List: A list of trust anchors.   Trust Anchor: The combination of a trusted public key and the name of      the entity to which the corresponding private key belongs.   Trust Anchor Certificate:  A self-signed certificate for a trust      anchor that is used in certification path processing.   User:  An individual that is using a certificate processing system.      This document refers to some cases in which users may or may not      be prompted with information or requests, depending upon the      implementation of the certificate processing system.Cooper, et al.               Informational                      [Page 7]

RFC 4158              Certification Path Building         September 20051.4.  Notation   This document makes use of a few common notations that are used in   the diagrams and examples.   The first is the arrow symbol (->) which represents the issuance of a   certificate from one entity to another.  For example, if entity H   were to issue a certificate to entity K, this is denoted as H->K.   Sometimes it is necessary to specify the subject and issuer of a   given certificate.  If entity H were to issue a certificate to entity   K this can be denoted as K(H).   These notations can be combined to denote complicated certification   paths such as C(D)->B(C)->A(B).1.5.  Overview of PKI Structures   When verifying [X.509] public key certificates, often the application   performing the verification has no knowledge of the underlying Public   Key Infrastructure (PKI) that issued the certificate.  PKI structures   can range from very simple, hierarchical structures to complex   structures such as mesh architectures involving multiple bridges (seeSection 1.5.4).  These structures define the types of certification   paths that might be built and validated by an application [MINHPKIS].   This section describes four common PKI structures.1.5.1.  Hierarchical Structures   A hierarchical PKI, depicted in Figure 1, is one in which all of the   end entities and relying parties use a single "Root CA" as their   trust anchor.  If the hierarchy has multiple levels, the Root CA   certifies the public keys of intermediate CAs (also known as   subordinate CAs).  These CAs then certify end entities'   (subscribers') public keys or may, in a large PKI, certify other CAs.   In this architecture, certificates are issued in only one direction,   and a CA never certifies another CA "superior" to itself.  Typically,   only one superior CA certifies each CA.Cooper, et al.               Informational                      [Page 8]

RFC 4158              Certification Path Building         September 2005                               +---------+                           +---| Root CA |---+                           |   +---------+   |                           |                 |                           |                 |                           v                 v                        +----+            +----+                  +-----| CA |      +-----| CA |------+                  |     +----+      |     +----+      |                  |                 |                 |                  v                 v                 v               +----+            +----+            +----+            +--| CA |-----+      | CA |-+      +---| CA |---+            |  +----+     |      +----+ |      |   +----+   |            |     |       |       |     |      |    |       |            |     |       |       |     |      |    |       |            v     v       v       v     v      v    v       v         +----+ +----+ +----+ +----+ +----+ +----+ +----+ +----+         | EE | | EE | | EE | | EE | | EE | | EE | | EE | | EE |         +----+ +----+ +----+ +----+ +----+ +----+ +----+ +----+                    Figure 1 - Sample Hierarchical PKI   Certification path building in a hierarchical PKI is a   straightforward process that simply requires the relying party to   successively retrieve issuer certificates until a certificate that   was issued by the trust anchor (the "Root CA" in Figure 1) is   located.   A widely used variation on the single-rooted hierarchical PKI is the   inclusion of multiple CAs as trust anchors.  (See Figure 2.)  Here,   end entity certificates are validated using the same approach as with   any hierarchical PKI.  The difference is that a certificate will be   accepted if it can be verified back to any of the set of trust   anchors.  Popular web browsers use this approach, and are shipped   with trust lists containing dozens to more than one hundred CAs.   While this approach simplifies the implementation of a limited form   of certificate verification, it also may introduce certain security   vulnerabilities.  For example, the user may have little or no idea of   the policies or operating practices of the various trust anchors, and   may not be aware of which root was used to verify a given   certificate.  Additionally, the compromise of any trusted CA private   key or the insertion of a rogue CA certificate to the trust list may   compromise the entire system.  Conversely, if the trust list is   properly managed and kept to a reasonable size, it can be an   efficient solution to building and validating certification paths.Cooper, et al.               Informational                      [Page 9]

RFC 4158              Certification Path Building         September 2005            +-------------------------------------------------------+            |                      Trust List                       |            |                                                       |            |     +---------+     +---------+      +---------+      |            |  +--| Root CA |     | Root CA |      | Root CA |      |            |  |  +---------+     +---------+      +---------+      |            |  |      |                |                 |          |            +--|------|----------------|---------------- |----------+               |      |                |                 |               |      |                |                 |               |      |                v                 |               |      |             +----+               |               |      |        +----| CA |---+           |               |      |        |    +----+   |           |               |      |        |             |           |               |      |        v             v           v               |      |     +----+        +----+      +----+               |      |     | CA |---+    | CA |-+    | CA |---+               |      |     +----+   |    +----+ |    +----+   |               |      |       |      |    |      |       |     |               |      |       |      |    |      |       |     |               v      v       v      v    v      v       v     v            +----+ +----+ +----+ +----+ +----+ +----+ +----+ +----+            | EE | | EE | | EE | | EE | | EE | | EE | | EE | | EE |            +----+ +----+ +----+ +----+ +----+ +----+ +----+ +----+                 Figure 2 - Multi-Rooted Hierarchical PKI1.5.2.  Mesh Structures   In a typical mesh style PKI (depicted in Figure 3), each end entity   trusts the CA that issued their own certificate(s).  Thus, there is   no 'Root CA' for the entire PKI.  The CAs in this environment have   peer relationships; they are neither superior nor subordinate to one   another.  In a mesh, CAs in the PKI cross-certify.  That is, each CA   issues a certificate to, and is issued a certificate by, peer CAs in   the PKI.  The figure depicts a mesh PKI that is fully cross-certified   (sometimes called a full mesh).  However, it is possible to architect   and deploy a mesh PKI with a mixture of uni-directional and bi-   directional cross-certifications (called a partial mesh).  Partial   meshes may also include CAs that are not cross-certified with other   CAs in the mesh.Cooper, et al.               Informational                     [Page 10]

RFC 4158              Certification Path Building         September 2005                          +---------------------------------+                          |                                 |              +-----------+----------------------+          |              |           v                      v          |              |       +-------+               +------+      |              |  +--->| CA B  |<------------->| CA C |<--+  |              |  |    +-------+               +------+   |  |              |  |      |    ^                  ^  |     |  |              |  |      v    |                  |  |     |  |              |  |   +----+  |                  |  |     |  |              |  |   | EE |  +----+    +--------+  v     |  |              |  |   +----+       |    |         +----+  |  |              |  |                |    |         | EE |  |  |              v  v                v    v         +----+  v  v            +------+             +------+             +------+            | CA E |<----------->| CA A |<----------->| CA D |            +------+             +------+             +------+             |  ^  ^                                    ^ ^  |             |  |  |                                    | |  |             v  |  +------------------------------------+ |  v         +----+ |                                         | +----+         | EE | |                +------+                 | | EE |         +----+ +----------------| CA F |-----------------+ +----+                                 +------+                           Figure 3 - Mesh PKI   Certification path building in a mesh PKI is more complex than in a   hierarchical PKI due to the likely existence of multiple paths   between a relying party's trust anchor and the certificate to be   verified.  These multiple paths increase the potential for creating   "loops", "dead ends", or invalid paths while building the   certification path between a trust anchor and a target certificate.   In addition, in cases where no valid path exists, the total number of   paths traversed by the path-building software in order to conclude   "no path exists" can grow exceedingly large.  For example, if   ignoring everything except the structure of the graph, the Mesh PKI   figure above has 22 non-self issued CA certificates and a total of   5,092,429 certification paths between CA F and the EE issued by CA D   without repeating any certificates.1.5.3.  Bi-Lateral Cross-Certified Structures   PKIs can be connected via cross-certification to enable the relying   parties of each to verify and accept certificates issued by the other   PKI.  If the PKIs are hierarchical, cross-certification will   typically be accomplished by each Root CA issuing a certificate for   the other PKI's Root CA.  This results in a slightly more complex,Cooper, et al.               Informational                     [Page 11]

RFC 4158              Certification Path Building         September 2005   but still essentially hierarchical environment.  If the PKIs are mesh   style, then a CA within each PKI is selected, more or less   arbitrarily, to establish the cross-certification, effectively   creating a larger mesh PKI.  Figure 4 depicts a hybrid situation   resulting from a hierarchical PKI cross-certifying with a mesh PKI.                       PKI 1 and 2 cross-certificates                      +-------------------------------+                      |                               |                      |                               v                      |                           +---------+                      |                      +----| Root CA |---+                      |                      |    +---------+   |                      |                      |       PKI 1      |                      |                      v                  v                      |                     +------+         +------+                      v PKI 2             +-|  CA  |-+       |  CA  |                     +------+             | +------+ |       +------+            +------->|  CA  |<-----+      |     |    |         |   |            |        +------+      |      |     |    |         |   |            |         |    |       |      v     v    v         v   v            |         |    |       |  +----+ +----+ +----+ +----+ +----+            |         v    v       |  | EE | | EE | | EE | | EE | | EE |            |      +----+ +----+   |  +----+ +----+ +----+ +----+ +----+            |      | EE | | EE |   |            |      +----+ +----+   |            v                      v         +------+                +------+         |  CA  |<-------------->|  CA  |------+         +------+                +------+      |          |    |                  |    |       |          |    |                  |    |       |          v    v                  v    v       v      +----+ +----+            +----+ +----+ +----+      | EE | | EE |            | EE | | EE | | EE |      +----+ +----+            +----+ +----+ +----+                          Figure 4 - Hybrid PKI   In current implementations, this situation creates a concern that the   applications used under the hierarchical PKIs will not have path   building capabilities robust enough to handle this more complex   certificate graph.  As the number of cross-certified PKIs grows, the   number of the relationships between them grows exponentially.  Two   principal concerns about cross-certification are the creation of   unintended certification paths through transitive trust, and the   dilution of assurance when a high-assurance PKI with restrictive   operating policies is cross-certified with a PKI with lessCooper, et al.               Informational                     [Page 12]

RFC 4158              Certification Path Building         September 2005   restrictive policies.  (Proper name constraints and certificate   policies processing can help mitigate the problem of assurance   dilution.)1.5.4.  Bridge Structures   Another approach to the interconnection of PKIs is the use of a   "bridge" certification authority (BCA).  A BCA is a nexus to   establish trust paths among multiple PKIs.  The BCA cross-certifies   with one CA in each participating PKI.  Each PKI only cross-certifies   with one other CA (i.e., the BCA), and the BCA cross-certifies only   once with each participating PKI.  As a result, the number of cross   certified relationships in the bridged environment grows linearly   with the number of PKIs whereas the number of cross-certified   relationships in mesh architectures grows exponentially.  However,   when connecting PKIs in this way, the number and variety of PKIs   involved results in a non-hierarchical environment, such as the one   as depicted in Figure 5.  (Note: as discussed inSection 2.3, non-   hierarchical PKIs can be considered hierarchical, depending upon   perspective.)Cooper, et al.               Informational                     [Page 13]

RFC 4158              Certification Path Building         September 2005                      PKI 1 cross-certified with Bridge                      +-------------------------------+                      |                               |                      v                               v                +-----------+                    +---------+                | Bridge CA |                +---| Root CA |-----+                +-----------+                |   +---------+     |                      ^                      |      PKI 1        |           PKI 2 cross|cert with Bridge      v                   v                      |                     +------+         +------+                      v PKI 2             +-|  CA  |-+       |  CA  |                     +------+             | +------+ |       +------+            +------->|  CA  |<-----+      |     |    |         |   |            |        +------+      |      |     |    |         |   |            |         |    |       |      v     v    v         v   v            |         |    |       |  +----+ +----+ +----+ +----+ +----+            |         v    v       |  | EE | | EE | | EE | | EE | | EE |            |      +----+ +----+   |  +----+ +----+ +----+ +----+ +----+            |      | EE | | EE |   |            |      +----+ +----+   |            v                      v         +------+                +------+         |  CA  |<-------------->|  CA  |------+         +------+                +------+      |          |    |                  |    |       |          |    |                  |    |       |          v    v                  v    v       v      +----+ +----+            +----+ +----+ +----+      | EE | | EE |            | EE | | EE | | EE |      +----+ +----+            +----+ +----+ +----+             Figure 5 - Cross-Certification with a Bridge CA1.6.  Bridge Structures and Certification Path Processing   Developers building certificate-enabled applications intended for   widespread use throughout various sectors are encouraged to consider   supporting a Bridge PKI structure because implementation of   certification path processing functions to support a Bridge PKI   structure requires support of all the PKI structures (e.g.,   hierarchical, mesh, hybrid) which the Bridge may connect.  An   application that can successfully build valid certification paths in   all Bridge PKIs will therefore have implemented all of the processing   logic required to support the less complicated PKI structures.  Thus,   if an application fully supports the Bridge PKI structure, it can be   deployed in any standards-compliant PKI environment and will perform   the required certification path processing properly.Cooper, et al.               Informational                     [Page 14]

RFC 4158              Certification Path Building         September 20052.  Certification Path Building   Certification path building is the process by which the certificate   processing system obtains the certification path between a trust   anchor and the target certificate.  Different implementations can   build the certification path in different ways; therefore, it is not   the intent of this document to recommend a single "best" way to   perform this function.  Rather, guidance is provided on the technical   issues that surround the path-building process, and on the   capabilities path-building implementations need in order to build   certification paths successfully, irrespective of PKI structures.2.1.  Introduction to Certification Path Building   A certification path is an ordered list of certificates starting with   a certificate that can be validated by one of the relying party's   trust anchors, and ending with the certificate to be validated.  (The   certificate to be validated is referred to as the "target   certificate" throughout this document.)  Though not required, as a   matter of convenience these trust anchors are typically stored in   trust anchor certificates.  The intermediate certificates that   comprise the certification path may be retrieved by any means   available to the validating application.  These sources may include   LDAP, HTTP, SQL, a local cache or certificate store, or as part of   the security protocol itself as is common practice with signed S/MIME   messages and SSL/TLS sessions.   Figure 6 shows an example of a certification path.  In this figure,   the horizontal arrows represent certificates, and the notation B(A)   signifies a certificate issued to B, signed by A.      +---------+      +-----+     +-----+     +-----+     +--------+      |  Trust  |----->| CA  |---->| CA  |---->| CA  |---->| Target |      | Anchor  |  :   |  A  |  :  |  B  |  :  |  C  |  :  |   EE   |      +---------+  :   +-----+  :  +-----+  :  +-----+  :  +--------+                   :            :           :           :                   :            :           :           :                 Cert 1       Cert 2      Cert 3      Cert 4            A(Trust Anchor)    B(A)        C(B)      Target(C)                  Figure 6 - Example Certification Path   Unlike certification path validation, certification path building is   not addressed by the standards that define the semantics and   structure of a PKI.  This is because the validation of a   certification path is unaffected by the method in which the   certification path was built.  However, the ability to build a valid   certification path is of paramount importance for applications thatCooper, et al.               Informational                     [Page 15]

RFC 4158              Certification Path Building         September 2005   rely on a PKI.  Without valid certification paths, certificates   cannot be validated according to [RFC3280] and therefore cannot be   trusted.  Thus, the ability to build a path is every bit as important   as the ability to validate it properly.   There are many issues that can complicate the path-building process.   For example, building a path through a cross-certified environment   could require the path-building module to traverse multiple PKI   domains spanning multiple directories, using multiple algorithms, and   employing varying key lengths.  A path-building client may also need   to manage a number of trust anchors, partially populated directory   entries (e.g., missing issuedToThisCA entries in the   crossCertificatePair attribute), parsing of certain certificate   extensions (e.g., authorityInformationAccess) and directory   attributes (e.g., crossCertificatePair), and error handling such as   loop detection.   In addition, a developer has to decide whether to build paths from a   trust anchor (the reverse direction) to the target certificate or   from the target certificate (the forward direction) to a trust   anchor.  Some implementations may even decide to use both.  The   choice a developer makes should be dependent on the environment and   the underlying PKI for that environment.  More information on making   this choice can be found inSection 2.3.2.2.  Criteria for Path Building   From this point forward, this document will be discussing specific   algorithms and mechanisms to assist developers of certification   path-building implementations.  To provide justification for these   mechanisms, it is important to denote what the authors considered the   criteria for a path-building implementation.   Criterion 1: The implementation is able to find all possible paths,   excepting paths containing repeated subject name/public key pairs.   This means that all potentially valid certification paths between the   trust anchor and the target certificate which may be valid paths can   be built by the algorithm.  As discussed inSection 2.4.2, we   recommend that subject names and public key pairs are not repeated in   paths.   Criterion 2: The implementation is as efficient as possible.  An   efficient certification path-building implementation is defined to be   one that builds paths that are more likely to validate following   [RFC3280], before building paths that are not likely to validate,   with the understanding that there is no way to account for all   possible configurations and infrastructures.  This criterion is   intended to ensure implementations that can produce useful errorCooper, et al.               Informational                     [Page 16]

RFC 4158              Certification Path Building         September 2005   information.  If a particular path is entirely valid except for a   single expired certificate, this is most likely the 'right' path.  If   other paths are developed that are invalid for multiple obscure   reasons, this provides little useful information.   The algorithms and mechanisms discussed henceforth are chosen because   the authors consider them to be good methods for meeting the above   criteria.2.3.  Path-Building Algorithms   It is intuitive for people familiar with the Bridge CA concept or   mesh type PKIs to view path building as traversing a complex graph.   However, from the simplest viewpoint, writing a path-building module   can be nothing more than traversal of a spanning tree, even in a very   complex cross-certified environment.  Complex environments as well as   hierarchical PKIs can be represented as trees because certificates   are not permitted to repeat in a path.  If certificates could be   repeated, loops can be formed such that the number of paths and   number of certificates in a path both increase without bound (e.g., A   issues to B, B issues to C, and C issues to A).  Figure 7 below   illustrates this concept from the trust anchor's perspective.Cooper, et al.               Informational                     [Page 17]

RFC 4158              Certification Path Building         September 2005            +---------+                        +---------+            |  Trust  |                        |  Trust  |            | Anchor  |                        |  Anchor |            +---------+                        +---------+             |       |                         |         |             v       v                         v         v          +---+    +---+                     +---+      +---+          | A |<-->| C |                  +--| A |      | C |--+          +---+    +---+                  |  +---+      +---+  |           |         |                    |     |       |      |           |  +---+  |                    v     v       v      v           +->| B |<-+                  +---+  +---+  +---+  +---+              +---+                     | B |  | C |  | A |  | B |                |                       +---+  +---+  +---+  +---+                v                         |      |      |       |              +----+                      v      v      v       v              | EE |                  +----+   +---+  +---+  +----+              +----+                  | EE |   | B |  | B |  | EE |                                      +----+   +---+  +---+  +----+         A certificate graph with               |        |         bi-directional cross-cert.             v        v         between CAs A and C.                 +----+  +----+                                              | EE |  | EE |                                              +----+  +----+                                         The same certificate graph                                         rendered as a tree - the                                         way path-building software                                         could see it.     Figure 7 - Simple Certificate Graph - From Anchor Tree Depiction   When viewed from this perspective, all PKIs look like hierarchies   emanating from the trust anchor.  An infrastructure can be depicted   in this way regardless of its complexity.  In Figure 8, the same   graph is depicted from the end entity (EE) (the target certificate in   this example).  It would appear this way if building in the forward   (from EE or from target) direction.  In this example, without knowing   any particulars of the certificates, it appears at first that   building from EE has a smaller decision tree than building from the   trust anchor.  While it is true that there are fewer nodes in the   tree, it is not necessarily more efficient in this example.Cooper, et al.               Informational                     [Page 18]

RFC 4158              Certification Path Building         September 2005                      +---------+         +---------+                      |  Trust  |         |  Trust  |                      | Anchor  |         |  Anchor |                      +---------+         +---------+                           ^                   ^                           |                   |                           |                   |                         +---+               +---+                         | A |               | C |                         +---+               +---+            +---------+    ^                   ^      +---------+            |  Trust  |    |                   |      |  Trust  |            | Anchor  |    |                   |      |  Anchor |            +---------+    |                   |      +---------+                 ^         |                   |           ^                 |       +---+               +---+         |                 +-------| C |               | A |---------+                         +---+               +---+                          ^                    ^                          |                    |                          |         +---+      |                          +---------| B |------+                                    +---+                                      ^                                      |                                      |                                   +----+                                   | EE |                                   +----+                   The same certificate graph rendered                    as a tree but from the end entity                      rather than the trust anchor.     Figure 8 - Certificate Graph - From Target Certificate Depiction   Suppose a path-building algorithm performed no optimizations.  That   is, the algorithm is only capable of detecting that the current   certificate in the tree was issued by the trust anchor, or that it   issued the target certificate (EE).  From the tree above, building   from the target certificate will require going through two   intermediate certificates before encountering a certificate issued by   the trust anchor 100% of the time (e.g., EE chains to B, which then   chains to C, which is issued by the Trust Anchor).  The path-building   module would not chain C to A because it can recognize that C has a   certificate issued by the Trust Anchor (TA).Cooper, et al.               Informational                     [Page 19]

RFC 4158              Certification Path Building         September 2005   On the other hand, in the first tree (Figure 7: from anchor   depiction), there is a 50% probability of building a path longer than   needed (e.g., TA to A to C to B to EE rather than the shorter TA to A   to B to EE).  However, even given our simplistic example, the path-   building software, when at A, could be designed to recognize that B's   subject distinguished name (DN) matches the issuer DN of the EE.   Given this one optimization, the builder could prefer B to C.  (B's   subject DN matches that of the EE's issuer whereas C's subject DN   does not.)  So, for this example, assuming the issuedByThisCA   (reverse) and issuedToThisCA (forward) elements were fully populated   in the directory and our path-building module implemented the   aforementioned DN matching optimization method, path building from   either the trust anchor or the target certificate could be made   roughly equivalent.  A list of possible optimization methods is   provided later in this document.   A more complicated example is created when the path-building software   encounters a situation when there are multiple certificates from   which to choose while building a path.  We refer to this as a large   decision tree, or a situation with high fan-out.  This might occur if   an implementation has multiple trust anchors to choose from, and is   building in the reverse (from trust anchor) direction.  Or, it may   occur in either direction if a Bridge CA is encountered.  Large   decision trees are the enemy of efficient path-building software.  To   combat this problem, implementations should make careful decisions   about the path-building direction, and should utilize optimizations   such as those discussed inSection 3.1 when confronted with a large   decision tree.   Irrespective of the path-building approach for any path-building   algorithm, cases can be constructed that make the algorithm perform   poorly.  The following questions should help a developer decide from   which direction to build certification paths for their application:   1) What is required to accommodate the local PKI environment and the      PKI environments with which interoperability will be required?      a. If using a directory, is the directory [RFC2587] compliant         (specifically, are the issuedToThisCA [forward] cross-         certificates and/or the cACertificate attributes fully         populated in the directory)?  If yes, you are able to build in         the forward direction.      b. If using a directory, does the directory contain all the         issuedByThisCA (reverse) cross-certificates in the         crossCertificatePair attribute, or, alternately, are all         certificates issued from each CA available via some other         means?  If yes, it is possible to build in the reverseCooper, et al.               Informational                     [Page 20]

RFC 4158              Certification Path Building         September 2005         direction.  Note: [RFC2587] does not require the issuedByThisCA         (reverse) cross-certificates to be populated; if they are         absent it will not be possible to build solely in the reverse         direction.      c. Are all issuer certificates available via some means other than         a directory (e.g., the authorityInformationAccess extension is         present and populated in all certificates)?  If yes, you are         able to build in the forward direction.   2) How many trust anchors will the path-building and validation      software be using?      a. Are there (or will there be) multiple trust anchors in the         local PKI?  If yes, forward path building may offer better         performance.      b. Will the path-building and validation software need to place         trust in trust anchors from PKIs that do not populate reverse         cross-certificates for all intermediate CAs?  If no, and the         local PKI populates reverse cross-certificates, reverse path         building is an option.2.4.  How to Build a Certification Path   As was discussed in the prior section, path building is essentially a   tree traversal.  It was easy to see how this is true in a simple   example, but how about a more complicated one? Before taking a look   at more a complicated scenario, it is worthwhile to address loops and   what constitutes a loop in a certification path.  [X.509] specifies   that the same certificate may not repeat in a path.  In a strict   sense, this works well as it is not possible to create an endless   loop without repeating one or more certificates in the path.   However, this requirement fails to adequately address Bridged PKI   environments.Cooper, et al.               Informational                     [Page 21]

RFC 4158              Certification Path Building         September 2005            +---+    +---+            | F |--->| H |            +---+    +---+             ^ ^       ^             |  \       \             |   \       \             |    v       v             |  +---+    +---+             |  | G |--->| I |             |  +---+    +---+             |   ^             |  /             | /         +------+       +-----------+        +------+   +---+   +---+         | TA W |<----->| Bridge CA |<------>| TA X |-->| L |-->| M |         +------+       +-----------+        +------+   +---+   +---+                           ^      ^               \        \                          /        \               \        \                         /          \               \        \                        v            v               v        v                  +------+         +------+        +---+    +---+                  | TA Y |         | TA Z |        | J |    | N |                  +------+         +------+        +---+    +---+                   /   \              / \            |        |                  /     \            /   \           |        |                 /       \          /     \          v        v                v         v        v       v       +---+    +----+              +---+     +---+    +---+   +---+     | K |    | EE |              | A |<--->| C |    | O |   | P |     +---+    +----+              +---+     +---+    +---+   +---+                 \         /      /  \       \                  \       /      /    \       \                   \     /      v      v       v                    v   v    +---+    +---+   +---+                    +---+    | Q |    | R |   | S |                    | B |    +---+    +---+   +---+                    +---+               |                      /\                |                     /  \               |                    v    v              v                 +---+  +---+         +---+                 | E |  | D |         | T |                 +---+  +---+         +---+                       Figure 9 - Four Bridged PKIsCooper, et al.               Informational                     [Page 22]

RFC 4158              Certification Path Building         September 2005   Figure 9 depicts four root certification authorities cross-certified   with a Bridge CA (BCA).  While multiple trust anchors are shown in   the Figure, our examples all consider TA Z as the trust anchor.  The   other trust anchors serve different relying parties.  By building   certification paths through the BCA, trust can be extended across the   four infrastructures.  In Figure 9, the BCA has four certificates   issued to it; one issued from each of the trust anchors in the graph.   If stored in the BCA directory system, the four certificates issued   to the BCA would be stored in the issuedToThisCA (forward) entry of   four different crossCertificatePair structures.  The BCA also has   issued four certificates, one to each of the trust anchors.  If   stored in the BCA directory system, those certificates would be   stored in the issuedByThisCA (reverse) entry of the same four   crossCertificatePair structures.  (Note that the cross-certificates   are stored as matched pairs in the crossCertificatePair attribute.   For example, a crossCertificatePair structure might contain both A(B)   and B(A), but not contain A(C) and B(A).)  The four   crossCertificatePair structures would then be stored in the BCA's   directory entry in the crossCertificatePair attribute.2.4.1.  Certificate Repetition   [X.509] requires that certificates are not repeated when building   paths.  For instance, from the figure above, do not build the path TA   Z->BCA->Y->A->C->A->C->B->D.  Not only is the repetition unnecessary   to build the path from Z to D, but it also requires the reuse of a   certificate (the one issued from C to A), which makes the path non-   compliant with [X.509].   What about the following path from TA Z to EE?               TA Z->BCA->Y->BCA->W->BCA->X->L->N->EE   Unlike the first example, this path does not require a developer to   repeat any certificates; therefore, it is compliant with [X.509].   Each of the BCA certificates is issued from a different source and is   therefore a different certificate.  Suppose now that the bottom left   PKI (in Figure 9) had double arrows between Y and C, as well as   between Y and A.  The following path could then be built:               TA Z->BCA->Y->A->C->Y->BCA->W->BCA->X->L->N->EE   A path such as this could become arbitrarily complex and traverse   every cross-certified CA in every PKI in a cross-certified   environment while still remaining compliant with [X.509].  As a   practical matter, the path above is not something an application   would typically want or need to build for a variety of reasons:Cooper, et al.               Informational                     [Page 23]

RFC 4158              Certification Path Building         September 2005      - First, certification paths like the example above are generally        not intended by the PKI designers and should not be necessary in        order to validate any given certificate.  If a convoluted path        such as the example above is required (there is no corresponding        simple path) in order to validate a given certificate, this is        most likely indicative of a flaw in the PKI design.      - Second, the longer a path becomes, the greater the potential        dilution of trust in the certification path.  That is, with each        successive link in the infrastructure (i.e., certification by        CAs and cross-certification between CAs) some amount of        assurance may be considered lost.      - Third, the longer and more complicated a path, the less likely        it is to validate because of basic constraints, policies or        policy constraints, name constraints, CRL availability, or even        revocation.      - Lastly, and certainly not least important from a developer's or        user's perspective, is performance.  Allowing paths like the one        above dramatically increases the number of possible paths for        every certificate in a mesh or cross-certified environment.        Every path built may require one or more of the following:        validation of certificate properties, CPU intensive signature        validations, CRL retrievals, increased network load, and local        memory caching.  Eliminating the superfluous paths can greatly        improve performance, especially in the case where no path        exists.   There is a special case involving certificates with the same   distinguished names but differing encodings required by [RFC3280].   This case should not be considered a repeated certificate.  SeeSection 5.4 for more information.2.4.2.  Introduction to Path-Building Optimization   How can these superfluous paths be eliminated?  Rather than only   disallowing identical certificates from repeating, it is recommended   that a developer disallow the same public key and subject name pair   from being repeated.  For maximum flexibility, the subject name   should collectively include any subject alternative names.  Using   this approach, all of the intended and needed paths should be   available, and the excess and diluted paths should be eliminated.   For example, using this approach, only one path exists from the TA Z   to EE in the diagram above: TA Z->BCA->X->L->N->EE.Cooper, et al.               Informational                     [Page 24]

RFC 4158              Certification Path Building         September 2005   Given the simplifying rule of not repeating pairs of subject names   (including subject alternative names) and public keys, and only using   certificates found in the cACertificate and forward (issuedToThisCA)   element of the crossCertificatePair attributes, Figure 10 depicts the   forward path-building decision tree from the EE to all reachable   nodes in the graph.  This is the ideal graph for a path builder   attempting to build a path from TA Z to EE.        +------+       +-----------+        +------+   +---+        | TA W |<------| Bridge CA |<-------| TA X |<--| L |        +------+       +-----------+        +------+   +---+                          /     \                        ^                         /       \                        \                        /         \                        \                       v           v                        \                 +------+         +------+                 +---+                 | TA Y |         | TA Z |                 | N |                 +------+         +------+                 +---+                                                             ^                                                              \                                                               \                                                             +----+                                                             | EE |                                                             +----+             Figure 10 - Forward (From Entity) Decision Tree   It is not possible to build forward direction paths into the   infrastructures behind CAs W, Y, and Z, because W, Y, and Z have not   been issued certificates by their subordinate CAs.  (The subordinate   CAs are F and G, A and C, and O and P, respectively.)  If simplicity   and speed are desirable, the graph in Figure 10 is a very appealing   way to structure the path-building algorithm.  Finding a path from   the EE to one of the four trust anchors is reasonably simple.   Alternately, a developer could choose to build in the opposite   direction, using the reverse cross-certificates from any one of the   four trust anchors around the BCA.  The graph in Figure 11 depicts   all possible paths as a tree emanating from TA Z.  (Note: it is not   recommended that implementations attempt to determine all possible   paths, this would require retrieval and storage of all PKI data   including certificates and CRLs!  This example is provided to   demonstrate the complexity which might be encountered.)Cooper, et al.               Informational                     [Page 25]

RFC 4158              Certification Path Building         September 2005     +---+    +---+     | I |--->| H |     +---+    +---+       ^       |      +---+    +---+       |      | H |--->| I |       |      +---+    +---+     +---+     ^     | G |    /      +---+    +---+    +---+     +---+   /       | F |--->| H |--->| I |       ^    /        +---+    +---+    +---+        \  /          ^         \/          /        +---+    +---+    +---+    +---+                +---+        | F |    | G |--->| I |--->| H |                | M |        +---+    +---+    +---+    +---+                +---+          ^      ^                                        ^          |     /                                         |        +------+       +-----------+         +------+   +---+        | TA W |<------| Bridge CA |-------->| TA X |-->| L |        +------+       +-----------+         +------+   +---+                        /          ^              \         \                       v            \              v         v                 +------+            +------+     +---+     +---+                 | TA Y |            | TA Z |     | J |     | N |                 +------+            +------+     +---+     +---+                /       \              /     \        \       \               v         v            v       v        v       v            +---+      +---+        +---+   +---+    +---+  +----+            | A |      | C |        | O |   | P |    | K |  | EE |            +---+      +---+        +---+   +---+    +---+  +----+            /   \       /   \       /   \        \           v     v     v     v     v     v        v        +---+ +---+ +---+ +---+ +---+ +---+     +---+        | B | | C | | A | | B | | Q | | R |     | S |        +---+ +---+ +---+ +---+ +---+ +---+     +---+        /    \     \    \    \      \     \       v      v     v    v    v      v     v     +---+ +---+ +---+ +---+ +---+  +---+  +---+     | E | | D | | B | | B | | E |  | D |  | T |     +---+ +---+ +---+ +---+ +---+  +---+  +---+                 /  |    |  \               v    v    v   v           +---+ +---+ +---+ +---+           | E | | D | | E | | D |           +---+ +---+ +---+ +---+             Figure 11 - Reverse (From Anchor) Decision TreeCooper, et al.               Informational                     [Page 26]

RFC 4158              Certification Path Building         September 2005   Given the relative complexity of this decision tree, it becomes clear   that making the right choices while navigating the tree can make a   large difference in how quickly a valid path is returned.  The path-   building software could potentially traverse the entire graph before   choosing the shortest path:  TA Z->BCA->X->L->N->EE.  With a decision   tree like the one above, the basic depth first traversal approach   introduces obvious inefficiencies in the path-building process.  To   compensate for this, a path-building module needs to decide not only   in which direction to traverse the tree, but also which branches of   the tree are more likely to yield a valid path.   The path-building algorithm then ideally becomes a tree traversal   algorithm with weights or priorities assigned to each branch point to   guide the decision making.  If properly designed, such an approach   would effectively yield the "best path first" more often than not.   (The terminology "best path first" is quoted because the definition   of the "best" path may differ from PKI to PKI.  That is ultimately to   be determined by the developer, not by this document.)  Finding the   "best path first" is an effort to make the implementation efficient,   which is one of our criteria as stated inSection 2.2.   So how would a developer go about finding the best path first?  Given   the simplifying idea of addressing path building as a tree traversal,   path building could be structured as a depth first search.  A simple   example of depth first tree traversal path building is depicted in   Figure 12, with no preference given to sort order.   Note: The arrows in the lower portion of the figure do not indicate   the direction of certificate issuance; they indicate the direction of   the tree traversal from the target certificate (EE).Cooper, et al.               Informational                     [Page 27]

RFC 4158              Certification Path Building         September 2005               +----+                        +----+  +----+               | TA |                        | TA |  | TA |               +----+                        +----+  +----+                /  \                           ^     ^               /    \                           |     |              v      v                        +---+ +---+            +---+   +---+                     | A | | C |            | A |<->| C |                     +---+ +---+            +---+   +---+                        ^   ^              ^      ^                   +----+  |   |  +----+               \    /                    | TA |  |   |  | TA |                v  v                     +----+  |   |  +----+               +---+                         ^   |   |   ^               | B |                          \  |   |  /               +---+                           \ |   | /                / \                           +---+ +---+               /   \                          | C | | A |              v     v                         +---+ +---+            +---+ +---+                          ^    ^            | E | | D |                          |   /            +---+ +---+                          |  /                                                +---+          Infrastructure                        | B |                                                +---+                                                  ^                                                  |                                               +----+                                               | EE |                                               +----+                                      The Same Infrastructure                                       Represented as a TreeCooper, et al.               Informational                     [Page 28]

RFC 4158              Certification Path Building         September 2005                    +----+               +----+                    | TA |               | TA |                    +----+               +----+                       ^                    ^                       |                    |                      +---+               +---+                      | A |               | C |                      +---+               +---+   +----+                ^                 ^                 +----+   | TA |                |                 |                 | TA |   +----+                |                 |                 +----+      ^                  |                 |                   ^       \                 |                 |                  /      +---+           +---+                +---+           +---+      | C |           | C |                | A |           | A |      +---+           +---+                +---+           +---+         ^               ^                    ^               ^         |               |                   /               /         |               |                  /               /        +---+           +---+          +---+           +---+        | B |           | B |          | B |           | B |        +---+           +---+          +---+           +---+          ^               ^              ^               ^          |               |              |               |          |               |              |               |        +----+          +----+         +----+          +----+        | EE |          | EE |         | EE |          | EE |        +----+          +----+         +----+          +----+                     All possible paths from EE to TA                using a depth first decision tree traversal       Figure 12 - Path Building Using a Depth First Tree Traversal   Figure 12 illustrates that four possible paths exist for this   example.  Suppose that the last path (TA->A->B->EE) is the only path   that will validate.  This could be for any combination of reasons   such as name constraints, policy processing, validity periods, or   path length constraints.  The goal of an efficient path-building   component is to select the fourth path first by testing properties of   the certificates as the tree is traversed.  For example, when the   path-building software is at entity B in the graph, it should examine   both choices A and C to determine which certificate is the most   likely best choice.  An efficient module would conclude that A is the   more likely correct path.  Then, at A, the module compares   terminating the path at TA, or moving to C.  Again, an efficient   module will make the better choice (TA) and thereby find the "best   path first".Cooper, et al.               Informational                     [Page 29]

RFC 4158              Certification Path Building         September 2005   What if the choice between CA certificates is not binary as it was in   the previous example?  What if the path-building software encounters   a branch point with some arbitrary number of CA certificates thereby   creating the same arbitrary number of tree branches?  (This would be   typical in a mesh style PKI CA, or at a Bridge CA directory entry, as   each will have multiple certificates issued to itself from other   CAs.)  This situation actually does not change the algorithm at all,   if it is structured properly.  In our example, rather than treating   each decision as binary (i.e., choosing A or C), the path-building   software should sort all the available possibilities at any given   branch point, and then select the best choice from the list.  In the   event the path could not be built through the first choice, then the   second choice should be tried next upon traversing back to that point   in the tree.  Continue following this pattern until a path is found   or all CA nodes in the tree have been traversed.  Note that the   certificates at any given point in the tree should only be sorted at   the time a decision is first made.  Specifically, in the example, the   sorting of A and C is done when the algorithm reached B.  There is no   memory resident representation of the entire tree.  Just like any   other recursive depth first search algorithm, the only information   the algorithm needs to keep track of is what nodes (entities) in the   tree lie behind it on the current path, and for each of those nodes,   which arcs (certificates) have already been tried.2.5.  Building Certification Paths for Revocation Signer Certificates   Special consideration is given to building a certification path for   the Revocation Signer certificate because it may or may not be the   same as the Certification Authority certificate.  For example, after   a CA performs a key rollover, the new CA certificate will be the CRL   Signer certificate, whereas the old CA certificate is the   Certification Authority certificate for previously issued   certificates.  In the case of indirect CRLs, the CRL Signer   certificate will contain a different name and key than the   Certification Authority certificate.  In the case of OCSP, the   Revocation Signer certificate may represent an OCSP Responder that is   not the same entity as the Certification Authority.   When the Revocation Signer certificate and the Certification   Authority certificate are identical, no additional consideration is   required from a certification path-building standpoint.  That is, the   certification path built (and validated) for the Certification   Authority certificate can also be used as the certification path for   the Revocation Signer certificate.  In this case, the signature on   the revocation data (e.g., CRL or OCSP response) is verified using   the same certificate, and no other certification path building is   required.  An efficient certification path validation algorithm   should first try all possible CRLs issued by the CertificationCooper, et al.               Informational                     [Page 30]

RFC 4158              Certification Path Building         September 2005   Authority to determine if any of the CRLs (a) cover the certificate   in question, (b) are current, and (c) are signed using the same key   used to sign the certificate.   When the Revocation Signer certificate is not identical to the   Certification Authority certificate, a certification path must be   built (and validated) for the Revocation Signer certificate.  In   general, the certification path-building software may build the path   as it would for any other certificate.  However, this document also   outlines methods in later sections for greatly improving path   building efficiency for Revocation Signer certificate case.2.6.  Suggested Path-Building Software Components   There is no single way to define an interface to a path-building   module.  It is not the intent of this document to prescribe a   particular method or semantic; rather, it is up to the implementer to   decide.  There are many ways this could be done.  For example, a   path-building module could build every conceivable path and return   the entire list to the caller.  Or, the module could build until it   finds just one that validates and then terminate the procedure.  Or,   it could build paths in an iterative fashion, depending on validation   outside of the builder and successive calls to the builder to get   more paths until one valid path is found or all possible paths have   been found.  All of these are possible approaches, and each of these   may offer different benefits to a particular environment or   application.   Regardless of semantics, a path-building module needs to contain the   following components:   1) The logic for building and traversing the certificate graph.   2) Logic for retrieving the necessary certificates (and CRLs and/or      other revocation status information if the path is to be      validated) from the available source(s).   Assuming a more efficient and agile path-building module is desired,   the following is a good starting point and will tie into the   remainder of this document.  For a path-building module to take full   advantage of all the suggested optimizations listed in this document,   it will need all of the components listed below.   1) A local certificate and CRL cache.      a. This may be used by all certificate-using components; it does         not need to be specific to the path-building software.  A local         cache could be memory resident, stored in an operating systemCooper, et al.               Informational                     [Page 31]

RFC 4158              Certification Path Building         September 2005         or application certificate store, stored in a database, or even         stored in individual files on the hard disk.  While the         implementation of this cache is beyond the scope of this         document, some design considerations are listed below.   2) The logic for building and traversing the certificate graph/tree.      a. This performs sorting functionality for prioritizing         certificates (thereby optimizing path building) while         traversing the tree.      b. There is no need to build a complete graph prior to commencing         path building.  Since path building can be implemented as a         depth first tree traversal, the path builder only needs to         store the current location in the tree along with the points         traversed to the current location.  All completed branches can         be discarded from memory and future branches are discovered as         the tree is traversed.   3) Logic for retrieving the necessary certificates from the available      certificate source(s):      a. Local cache.            i. Be able to retrieve all certificates for an entity by               subject name, as well as individual certificates by               issuer and serial number tuple.           ii. Tracking which directory attribute (including               issuedToThisCA <forward> and issuedByThisCA <reverse>               for split crossCertificatePair attributes) each               certificate was found in may be useful.  This allows for               functionality such as retrieving only forward cross-               certificates, etc.          iii. A "freshness" timestamp (cache expiry time) can be used               to determine when the directory should be searched               again.      b. LDAPv3 directory for certificates and CRLs.            i. Consider supporting multiple directories for general               queries.           ii. Consider supporting dynamic LDAP connections for               retrieving CRLs using an LDAP URI [RFC3986] in the CRL               distribution point certificate extension.Cooper, et al.               Informational                     [Page 32]

RFC 4158              Certification Path Building         September 2005          iii. Support LDAP referrals.  This is typically only a matter               of activating the appropriate flag in the LDAP API.      c. HTTP support for CRL distribution points and authority         information access (AIA) support.          i. Consider HTTPS support, but be aware that this may create             an unbounded recursion when the implementation tries to             build a certification path for the server's certificate if             this in turn requires an additional HTTPS lookup.   4) A certification path cache that stores previously validated      relationships between certificates.  This cache should include:      a. A configurable expiration date for each entry.  This date can         be configured based upon factors such as the expiry of the         information used to determine the validity of an entry,         bandwidth, assurance level, storage space, etc.      b. Support to store previously verified issuer certificate to         subject certificate relationships.          i. Since the issuer DN and serial number tuple uniquely             identifies a certificate, a pair of these tuples (one for             both the issuer and subject) is an effective method of             storing this relationship.      c. Support for storing "known bad" paths and certificates.  Once a         certificate is determined to be invalid, implementations can         decide not to retry path development and validation.2.7.  Inputs to the Path-Building Module   [X.509] specifically addresses the list of inputs required for path   validation but makes no specific suggestions concerning useful inputs   to path building.  However, given that the goal of path building is   to find certification paths that will validate, it follows that the   same inputs used for validation could be used to optimize path   building.2.7.1.  Required Inputs   Setting aside configuration information such as repository or cache   locations, the following are required inputs to the certification   path-building process:   1) The Target Certificate: The certificate that is to be validated.      This is one endpoint for the path.  (It is also possible toCooper, et al.               Informational                     [Page 33]

RFC 4158              Certification Path Building         September 2005      provide information used to retrieve a certificate for a target,      rather than the certificate itself.)   2) Trust List: This is the other endpoint of the path, and can      consist of either:      a. Trusted CA certificates      b. Trusted keys and DNs; a certificate is not necessarily required2.7.2.  Optional Inputs   In addition to the inputs listed inSection 2.7.1, the following   optional inputs can also be useful for optimizing path building.   However, if the path-building software takes advantage of all of the   optimization methods described later in this document, all of the   following optional inputs will be required.   1) Time (T): The time for which the certificate is to be validated      (e.g., if validating a historical signature from one year ago, T      is needed to build a valid path)      a. If not included as an input, the path-building software should         always build for T equal to the current system time.   2) Initial-inhibit-policy-mapping indicator   3) Initial-require-explicit-policy indicator   4) Initial-any-policy-inhibit indicator   5) Initial user acceptable policy set   6) Error handlers (call backs or virtual classes)   7) Handlers for custom certificate extensions   8) Is-revocation-provider indicator      a. IMPORTANT:  When building a certification path for an OCSP         Responder certificate specified as part of the local         configuration, this flag should not be set.  It is set when         building a certification path for a CRL Signer certificate or         for an OCSP Responder Signer certificate discovered using the         information asserted in an authorityInformationAccess         certificate extension.Cooper, et al.               Informational                     [Page 34]

RFC 4158              Certification Path Building         September 2005   9) The complete certification path for the Certification Authority      (if Is-revocation-provider is set)   10) Collection of certificates that may be useful in building the       path   11) Collection of certificate revocation lists and/or other       revocation data   The last two items are a matter of convenience.  Alternately,   certificates and revocation information could be placed in a local   cache accessible to the path-building module prior to attempting to   build a path.3.  Optimizing Path Building   This section recommends methods for optimizing path-building   processes.3.1.  Optimized Path Building   Path building can be optimized by sorting the certificates at every   decision point (at every node in the tree) and then selecting the   most promising certificate not yet selected as described inSection2.4.2.  This process continues until the path terminates.  This is   roughly equivalent to the concept of creating a weighted edge tree,   where the edges are represented by certificates and nodes represent   subject DNs.  However, unlike the weighted edge graph concept, a   certification path builder need not have the entire graph available   in order to function efficiently.  In addition, the path builder can   be stateless with respect to nodes of the graph not present in the   current path, so the working data set can be relatively small.   The concept of statelessness with respect to nodes not in the current   path is instrumental to using the sorting optimizations listed in   this document.  Initially, it may seem that sorting a given group of   certificates for a CA once and then preserving that sorted order for   later use would be an efficient way to write the path builder.   However, maintaining this state can quickly eliminate the efficiency   that sorting provides.  Consider the following diagram:Cooper, et al.               Informational                     [Page 35]

RFC 4158              Certification Path Building         September 2005            +---+            | R |            +---+             ^            /           v         +---+       +---+      +---+    +---+    +----+         | A |<----->| E |<---->| D |--->| Z |--->| EE |         +---+       +---+      +---+    +---+    +----+            ^         ^ ^        ^             \       /   \      /              \     /     \    /               v   v       v  v               +---+       +---+               | B |<----->| C |               +---+       +---+            Figure 13 - Example of Path-Building Optimization   In this example, the path builder is building in the forward (from   target) direction for a path between R and EE.  The path builder has   also opted to allow subject name and key to repeat.  (This will allow   multiple traversals through any of the cross-certified CAs, creating   enough complexity in this small example to illustrate proper state   maintenance.  Note that a similarly complex example could be designed   by using multiple keys for each entity and prohibiting repetition.)   The first step is simple; the builder builds the path Z(D)->EE(Z).   Next the builder adds D and faces a decision between two   certificates. (Choose between D(C) or D(E)).  The builder now sorts   the two choices in order of priority.  The sorting is partially based   upon what is currently in the path.   Suppose the order the builder selects is [D(E), D(C)].  The current   path is now D(E)->Z(D)->EE(Z).  Currently the builder has three nodes   in the graph (EE, Z, and D) and should maintain the state, including   sort order of the certificates at D, when adding the next node, E.   When E is added, the builder now has four certificates to sort: E(A),   E(B), E(C), and E(D).  In this case, the example builder opts for the   order [E(C), E(B), E(A), E(D)].  The current path is now E(C)->D(E)->   Z(D)->EE(Z) and the path has four nodes; EE, Z, D, and E.   Upon adding the fifth node, C, the builder sorts the certificates   (C(B), C(D), and C(E)) at C, and selects C(E).  The path is now   C(E)->E(C)->D(E)->Z(D)->EE(Z) and the path has five nodes: EE, Z, D,   E, and C.Cooper, et al.               Informational                     [Page 36]

RFC 4158              Certification Path Building         September 2005   Now the builder finds itself back at node E with four certificates.   If the builder were to use the prior sort order from the first   encounter with E, it would have [E(C), E(B), E(A), E(D)].  In the   current path's context, this ordering may be inappropriate.  To begin   with, the certificate E(C) is already in the path so it certainly   does not deserve first place.   The best way to handle this situation is for the path builder to   handle this instance of E as a new (sixth) node in the tree.  In   other words, there is no state information for this new instance of E   - it is treated just as any other new node.  The certificates at the   new node are sorted based upon the current path content and the first   certificate is then selected.  For example, the builder may examine   E(B) and note that it contains a name constraint prohibiting "C".  At   this point in the decision tree, E(B) could not be added to the path   and produce a valid result since "C" is already in the path.  As a   result, the certificate E(B) should placed at the bottom of the   prioritized list.   Alternatively, E(B) could be eliminated from this new node in the   tree.  It is very important to see that this certificate is   eliminated only at this node and only for the current path.  If path   building fails through C and traverses back up the tree to the first   instance of E, E(B) could still produce a valid path that does not   include C; specifically R->A->B->E->D->Z->EE.  Thus the state at any   node should not alter the state of previous or subsequent nodes.   (Except for prioritizing certificates in the subsequent nodes.)   In this example, the builder should also note that E(C) is already in   the path and should make it last or eliminate it from this node since   certificates cannot be repeated in a path.   If the builder eliminates both certificates E(B) and E(C) at this   node, it is now only left to select between E(A) and E(D).  Now the   path has six nodes: EE, Z, D, E(1), C, and E(2).  E(1) has four   certificates, and E(2) has two, which the builder sorts to yield   [E(A), E(D)].  The current path is now E(A)->C(E)->E(C)->D(E)->   Z(D)->EE(Z).  A(R) will be found when the seventh node is added to   the path and the path terminated because one of the trust anchors has   been found.   In the event the first path fails to validate, the path builder will   still have the seven nodes and associated state information to work   with.  On the next iteration, the path builder is able to traverse   back up the tree to a working decision point, such as A, and select   the next certificate in the sorted list at A.  In this example, that   would be A(B).  (A(R) has already been tested.)  This would dead end,   and the builder traverse back up to the next decision point, E(2)Cooper, et al.               Informational                     [Page 37]

RFC 4158              Certification Path Building         September 2005   where it would try D(E).  This process repeats until the traversal   backs all the way up to EE or a valid path is found.  If the tree   traversal returns to EE, all possible paths have been exhausted and   the builder can conclude no valid path exists.   This approach of sorting certificates in order to optimize path   building will yield better results than not optimizing the tree   traversal.  However, the path-building process can be further   streamlined by eliminating certificates, and entire branches of the   tree as a result, as paths are built.3.2.  Sorting vs. Elimination   Consider a situation when building a path in which three CA   certificates are found for a given target certificate and must be   prioritized.  When the certificates are examined, as in the previous   example, one of the three has a name constraint present that will   invalidate the path built thus far.  When sorting the three   certificates, that one would certainly go to the back of the line.   However, the path-building software could decide that this condition   eliminates the certificate from consideration at this point in the   graph, thereby reducing the number of certificate choices by 33% at   this point.   NOTE: It is important to understand that the elimination of a   certificate only applies to a single decision point during the tree   traversal.  The same certificate may appear again at another point in   the tree; at that point it may or may not be eliminated.  The   previous section details an example of this behavior.   Elimination of certificates could potentially eliminate the traversal   of a large, time-consuming infrastructure that will never lead to a   valid path.  The question of whether to sort or eliminate is one that   pits the flexibility of the software interface against efficiency.   To be clear, if one eliminates invalid paths as they are built,   returning only likely valid paths, the end result will be an   efficient path-building module.  The drawback to this is that unless   the software makes allowances for it, the calling application will   not be able to see what went wrong.  The user may only see the   unrevealing error message: "No certification path found."   On the other hand, the path-building module could opt to not rule out   any certification paths.  The path-building software could then   return any and all paths it can build from the certificate graph.  It   is then up to the validation engine to determine which are valid and   which are invalid.  The user or calling application can then have   complete details on why each and every path fails to validate.  TheCooper, et al.               Informational                     [Page 38]

RFC 4158              Certification Path Building         September 2005   drawback is obviously one of performance, as an application or end   user may wait for an extended period of time while cross-certified   PKIs are navigated in order to build paths that will never validate.   Neither option is a very desirable approach.  One option provides   good performance for users, which is beneficial.  The other option   though allows administrators to diagnose problems with the PKI,   directory, or software.  Below are some recommendations to reach a   middle ground on this issue.   First, developers are strongly encouraged to output detailed log   information from the path-building software.  The log should   explicitly indicate every choice the builder makes and why.  It   should clearly identify which certificates are found and used at each   step in building the path.  If care is taken to produce a useful log,   PKI administrators and help desk personnel will have ample   information to diagnose a problem with the PKI.  Ideally, there would   be a mechanism for turning this logging on and off, so that it is not   running all the time.  Additionally, it is recommended that the log   contain information so that a developer or tester can recreate the   paths tried by the path-building software, to assist with diagnostics   and testing.   Secondly, it is desirable to return something useful to the user.   The easiest approach is probably to implement a "dual mode" path-   building module.  In the first mode [mode 1], the software eliminates   any and all paths that will not validate, making it very efficient.   In the second mode [mode 2], all the sorting methods are still   applied, but no paths are eliminated based upon the sorting methods.   Having this dual mode allows the module to first fail to find a valid   path, but still return one invalid path (assuming one exists) by   switching over to the second mode long enough to generate a single   path.  This provides a middle ground -- the software is very fast,   but still returns something that gives the user a more specific error   than "no path found".   Third, it may be useful to not rule out any paths, but instead limit   the number of paths that may be built given a particular input.   Assuming the path-building module is designed to return the "best   path first", the paths most likely to validate would be returned   before this limit is reached.  Once the limit is reached the module   can stop building paths, providing a more rapid response to the   caller than one which builds all possible paths.   Ultimately, the developer determines how to handle the trade-off   between efficiency and provision of information.  A developer could   choose the middle ground by opting to implement some optimizations as   elimination rules and others as not.  A developer could validateCooper, et al.               Informational                     [Page 39]

RFC 4158              Certification Path Building         September 2005   certificate signatures, or even check revocation status while   building the path, and then make decisions based upon the outcome of   those checks as to whether to eliminate the certificate in question.   This document suggests the following approach:   1) While building paths, eliminate any and all certificates that do      not satisfy all path validation requirements with the following      exceptions:      a. Do not check revocation status if it requires a directory         lookup or network access      b. Do not check digital signatures (seeSection 8.1, General         Considerations for Building A Certification Path, for         additional considerations).      c. Do not check anything that cannot be checked as part of the         iterative process of traversing the tree.      d. Create a detailed log, if this feature is enabled.      e. If a path cannot be found, the path builder shifts to "mode 2"         and allows the building of a single bad path.            i. Return the path with a failure indicator, as well as               error information detailing why the path is bad.   2) If path building succeeds, validate the path in accordance with      [X.509] and [RFC3280] with the following recommendations:      a. For a performance boost, do not re-check items already checked         by the path builder. (Note: if pre-populated paths are supplied         to the path-building system, the entire path has to be fully         re-validated.)      b. If the path validation failed, call the path builder again to         build another path.            i. Always store the error information and path from the               first iteration and return this to the user in the event               that no valid path is found.  Since the path-building               software was designed to return the "best path first",               this path should be shown to the user.   As stated above, this document recommends that developers do not   validate digital signatures or check revocation status as part of the   path-building process.  This recommendation is based on twoCooper, et al.               Informational                     [Page 40]

RFC 4158              Certification Path Building         September 2005   assumptions about PKI and its usage.  First, signatures in a working   PKI are usually good.  Since signature validation is costly in terms   of processor time, it is better to delay signature checking until a   complete path is found and then check the signatures on each   certificate in the certification path starting with the trust anchor   (seeSection 8.1).  Second, it is fairly uncommon in typical   application environments to encounter a revoked certificate;   therefore, most certificates validated will not be revoked.  As a   result, it is better to delay retrieving CRLs or other revocation   status information until a complete path has been found.  This   reduces the probability of retrieving unneeded revocation status   information while building paths.3.3.  Representing the Decision Tree   There are a multitude of ways to implement certification path   building and as many ways to represent the decision tree in memory.   The method described below is an approach that will work well with   the optimization methods listed later in this document.  Although   this approach is the best the authors of this document have   implemented, it is by no means the only way to implement it.   Developers should tailor this approach to their own requirements or   may find that another approach suits their environment, programming   language, or programming style.3.3.1.  Node Representation for CA Entities   A "node" in the certification graph is a collection of CA   certificates with identical subject DNs.  Minimally, for each node,   in order to fully implement the optimizations to follow, the path-   building module will need to be able to keep track of the following   information:   1. Certificates contained in the node   2. Sorted order of the certificates   3. "Current" certificate indicator   4. The current policy set (It may be split into authority and user      constrained sets, if desired.)      - It is suggested that encapsulating the policy set in an object        with logic for manipulating the set such as performing        intersections, mappings, etc., will simplify implementation.Cooper, et al.               Informational                     [Page 41]

RFC 4158              Certification Path Building         September 2005   5. Indicators (requireExplicitPolicy, inhibitPolicyMapping,      anyPolicyInhibit) and corresponding skipCert values   6. A method for indicating which certificates are eliminated or      removing them from the node.      - If nodes are recreated from the cache on demand, it may be        simpler to remove eliminated certificates from the node.   7. A "next" indicator that points to the next node in the current      path   8. A "previous" indicator that points to the previous node in the      current path3.3.2.  Using Nodes to Iterate Over All Paths   In simplest form, a node is created, the certificates are sorted, the   next subject DN required is determined from the first certificate,   and a new node is attached to the certification path via the next   indicator (Number 7 above).  This process continues until the path   terminates.  (Note: end entity certificates may not contain subject   DNs as allowed by [RFC3280].  Since end entity certificates by   definition do not issue certificates, this has no impact on the   process.)   Keeping in mind that the following algorithm is designed to be   implemented using recursion, consider the example in Figure 12 and   assume that the only path in the diagram is valid for E is TA->A->   B->E:   If our path-building module is building a path in the forward   direction for E, a node is first created for E.  There are no   certificates to sort because only one certificate exists, so all   initial values are loaded into the node from E.  For example, the   policy set is extracted from the certificate and stored in the node.   Next, the issuer DN (B) is read from E, and new node is created for B   containing both certificates issued to B -- B(A) and B(C).  The   sorting rules are applied to these two certificates and the sorting   algorithm returns B(C);B(A).  This sorted order is stored and the   current indicator is set to B(C).  Indicators are set and the policy   sets are calculated to the extent possible with respect to B(C).  The   following diagram illustrates the current state with the current   certificate indicated with a "*".Cooper, et al.               Informational                     [Page 42]

RFC 4158              Certification Path Building         September 2005   +-------------+    +---------------+   | Node 1      |    | Node 2        |   | Subject: E  |--->| Subject: B    |   | Issuers: B* |    | Issuers: C*,A |   +-------------+    +---------------+   Next, a node is created for C and all three certificates are added to   it.  The sorting algorithm happens to return the certificates sorted   in the following order: C(TA);C(A);C(B)   +-------------+    +---------------+    +------------------+   | Node 1      |    | Node 2        |    | Node 3           |   | Subject: E  |--->| Subject: B    |--->| Subject: C       |   | Issuers: B  |    | Issuers: C*,A |    | Issuers: TA*,A,B |   +-------------+    +---------------+    +------------------+   Recognizing that the trust anchor has been found, the path   (TA->C->B->E) is validated but fails. (Remember that the only valid   path happens to be TA->A->B->E.)  The path-building module now moves   the current certificate indicator in node 3 to C(A), and adds the   node for A.      +-------------+    +---------------+    +------------------+      | Node 1      |    | Node 2        |    | Node 3           |      | Subject: E  |--->| Subject: B    |--->| Subject: C       |      | Issuers: B  |    | Issuers: C*,A |    | Issuers: TA,A*,B |      +-------------+    +---------------+    +------------------+                                                        |                                                        v                                              +------------------+                                              | Node 4           |                                              | Subject: A       |                                              | Issuers: TA*,C,B |                                              +------------------+   The path TA->A->C->B->E is validated and it fails.  The path-building   module now moves the current indicator in node 4 to A(C) and adds a   node for C.Cooper, et al.               Informational                     [Page 43]

RFC 4158              Certification Path Building         September 2005   +-------------+    +---------------+    +------------------+   | Node 1      |    | Node 2        |    | Node 3           |   | Subject: E  |--->| Subject: B    |--->| Subject: C       |   | Issuers: B  |    | Issuers: C*,A |    | Issuers: TA,A*,B |   +-------------+    +---------------+    +------------------+                                                     |                                                     v                   +------------------+    +------------------+                   | Node 5           |    | Node 4           |                   | Subject: C       |<---| Subject: A       |                   | Issuers: TA*,A,B |    | Issuers: TA,C*,B |                   +------------------+    +------------------+   At this juncture, the decision of whether to allow repetition of name   and key comes to the forefront.  If the certification path-building   module will NOT allow repetition of name and key, there are no   certificates in node 5 that can be used. (C and the corresponding   public key is already in the path at node 3.)  At this point, node 5   is removed from the current path and the current certificate   indicator on node 4 is moved to A(B).   If instead, the module is only disallowing repetition of   certificates, C(A) is eliminated from node 5 since it is in use in   node 3, and path building continues by first validating TA->C->A->   C->B->E, and then continuing to try to build paths through C(B).   After this also fails to provide a valid path, node 5 is removed from   the current path and the current certificate indicator on node 4 is   moved to A(B).      +-------------+    +---------------+    +------------------+      | Node 1      |    | Node 2        |    | Node 3           |      | Subject: E  |--->| Subject: B    |--->| Subject: C       |      | Issuers: B  |    | Issuers: C*,A |    | Issuers: TA,A*,B |      +-------------+    +---------------+    +------------------+                                                        |                                                        v                                              +------------------+                                              | Node 4           |                                              | Subject: A       |                                              | Issuers: TA,C,B* |                                              +------------------+   Now a new node 5 is created for B.  Just as with the prior node 5, if   not repeating name and key, B also offers no certificates that can be   used (B and B's public key is in use in node 2) so the new node 5 is   also removed from the path.  At this point all certificates in node 4   have now been tried, so node 4 is removed from the path, and the   current indicator on node 3 is moved to C(B).Cooper, et al.               Informational                     [Page 44]

RFC 4158              Certification Path Building         September 2005   Also as above, if allowing repetition of name and key, B(C) is   removed from the new node 5 (B(C) is already in use in node 3) and   paths attempted through the remaining certificate B(A).  After this   fails, it will lead back to removing node 5 from the path.  At this   point all certificates in node 4 have now been tried, so node 4 is   removed from the path, and the current indicator on node 3 is moved   to C(B).   This process continues until all certificates in node 1 (if there   happened to be more than one) have been tried, or until a valid path   has been found.  Once the process ends and in the event no valid path   was found, it may be concluded that no path can be found from E to   TA.3.4.  Implementing Path-Building Optimization   The following section describes methods that may be used for   optimizing the certification path-building process by sorting   certificates.  Optimization as described earlier seeks to prioritize   a list of certificates, effectively prioritizing (weighting) branches   of the graph/tree.  The optimization methods can be used to assign a   cumulative score to each certificate.  The process of scoring the   certificates amounts to testing each certificate against the   optimization methods a developer chooses to implement, and then   adding the score for each test to a cumulative score for each   certificate.  After this is completed for each certificate at a given   branch point in the builder's decision tree, the certificates can be   sorted so that the highest scoring certificate is selected first, the   second highest is selected second, etc.   For example, suppose the path builder has only these two simple   sorting methods:   1) If the certificate has a subject key ID, +5 to score.   2) If the certificate has an authority key ID, +10 to score.   And it then examined three certificates:   1) Issued by CA 1; has authority key ID; score is 10.   2) Issued by CA 2; has subject key ID; score is 5.   3) Issued by CA 1; has subject key ID and authority key ID; score is      15.   The three certificates are sorted in descending order starting with   the highest score: 3, 1, and 2.  The path-building software should   first try building the path through certificate 3.  Failing that, it   should try certificate 1.  Lastly, it should try building a path   through certificate 2.Cooper, et al.               Informational                     [Page 45]

RFC 4158              Certification Path Building         September 2005   The following optimization methods specify tests developers may   choose to perform, but does not suggest scores for any of the   methods.  Rather, developers should evaluate each method with respect   to the environment in which the application will operate, and assign   weights to each accordingly in the path-building software.   Additionally, many of the optimization methods are not binary in   nature.  Some are tri-valued, and some may be well suited to sliding   or exponential scales.  Ultimately, the implementer decides the   relative merits of each optimization with respect to his or her own   software or infrastructure.   Over and above the scores for each method, many methods can be used   to eliminate branches during the tree traversal rather than simply   scoring and weighting them.  All cases where certificates could be   eliminated based upon an optimization method are noted with the   method descriptions.   Many of the sorting methods described below are based upon what has   been perceived by the authors as common in PKIs.  Many of the methods   are aimed at making path building for the common PKI fast, but there   are cases where most any sorting method could lead to inefficient   path building.  The desired behavior is that although one method may   lead the algorithm in the wrong direction for a given situation or   configuration, the remaining methods will overcome the errant   method(s) and send the path traversal down the correct branch of the   tree more often than not.  This certainly will not be true for every   environment and configuration, and these methods may need to be   tweaked for further optimization in the application's target   operating environment.   As a final note, the list contained in this document is not intended   to be exhaustive.  A developer may desire to define additional   sorting methods if the operating environment dictates the need.3.5.  Selected Methods for Sorting Certificates   The reader should draw no specific conclusions as to the relative   merits or scores for each of the following methods based upon the   order in which they appear.  The relative merit of any sorting   criteria is completely dependent on the specifics of the operating   environment.  For most any method, an example can be created to   demonstrate the method is effective and a counter-example could be   designed to demonstrate that it is ineffective.   Each sorting method is independent and may (or may not) be used to   assign additional scores to each certificate tested.  The implementer   decides which methods to use and what weights to assign them.  As   noted previously, this list is also not exhaustive.Cooper, et al.               Informational                     [Page 46]

RFC 4158              Certification Path Building         September 2005   In addition, name chaining (meaning the subject name of the issuer   certificate matches the issuer name of the issued certificate) is not   addressed as a sorting method since adherence to this is required in   order to build the decision tree to which these methods will be   applied.  Also, unaddressed in the sorting methods is the prevention   of repeating certificates.  Path builders should handle name chaining   and certificate repetition irrespective of the optimization approach.   Each sorting method description specifies whether the method may be   used to eliminate certificates, the number of possible numeric values   (sorting weights) for the method, components fromSection 2.6 that   are required for implementing the method, forward and reverse methods   descriptions, and finally a justification for inclusion of the   method.   With regard to elimination of certificates, it is important to   understand that certificates are eliminated only at a given decision   point for many methods.  For example, the path built up to   certificate X may be invalidated due to name constraints by the   addition of certificate Y.  At this decision point only, Y could be   eliminated from further consideration.  At some future decision   point, while building this same path, the addition of Y may not   invalidate the path.   For some other sorting methods, certificates could be eliminated from   the process entirely.  For example, certificates with unsupported   signature algorithms could not be included in any path and validated.   Although the path builder may certainly be designed to operate in   this fashion, it is sufficient to always discard certificates only   for a given decision point regardless of cause.3.5.1.  basicConstraints Is Present and cA Equals True   May be used to eliminate certificates: Yes   Number of possible values: Binary   Components required: None   Forward Method:  Certificates with basicConstraints present and   cA=TRUE, or those designated as CA certificates out-of-band have   priority.  Certificates without basicConstraints, with   basicConstraints and cA=FALSE, or those that are not designated as CA   certificates out-of-band may be eliminated or have zero priority.   Reverse Method:  Same as forward except with regard to end entity   certificates at the terminus of the path.   Justification:  According to [RFC3280], basicConstraints is required   to be present with cA=TRUE in all CA certificates, or must beCooper, et al.               Informational                     [Page 47]

RFC 4158              Certification Path Building         September 2005   verified via an out-of-band mechanism.  A valid path cannot be built   if this condition is not met.3.5.2.  Recognized Signature Algorithms   May be used to eliminate certificates: Yes   Number of possible values: Binary   Components required: None   Forward Method:  Certificates containing recognized signature and   public key algorithms [PKIXALGS] have priority.   Reverse Method:  Same as forward.   Justification:  If the path-building software is not capable of   processing the signatures associated with the certificate, the   certification path cannot be validated.3.5.3.  keyUsage Is Correct   May be used to eliminate certificates:  Yes   Number of possible values:  Binary   Components required:  None   Forward Method:  If keyUsage is present, certificates with   keyCertSign set have 100% priority.  If keyUsage is present and   keyCertSign is not set, the certificate may be eliminated or have   zero priority.  All others have zero priority.   Reverse Method:  Same as forward except with regard to end entity   certificates at the terminus of the path.   Justification:  A valid certification path cannot be built through a   CA certificate with inappropriate keyUsage.  Note that   digitalSignature is not required to be set in a CA certificate.3.5.4.  Time (T) Falls within the Certificate Validity   May be used to eliminate certificates:  Yes   Number of possible values:  Binary   Components required:  None   Forward Method:  Certificates that contain the required time (T)   within their validity period have 100% priority.  Otherwise, the   certificate is eliminated or has priority zero.   Reverse Method:  Same as forward.Cooper, et al.               Informational                     [Page 48]

RFC 4158              Certification Path Building         September 2005   Justification:  A valid certification path cannot be built if T falls   outside of the certificate validity period.   NOTE: Special care should be taken to return a meaningful error to   the caller, especially in the event the target certificate does not   meet this criterion, if this sorting method is used for elimination.   (e.g., the certificate is expired or is not yet valid).3.5.5.  Certificate Was Previously Validated   May be used to eliminate certificates:  No   Number of possible values:  Binary   Components required:  Certification Path Cache   Forward Method:  A certificate that is present in the certification   path cache has priority.   Reverse Method:  Does not apply. (The validity of a certificate vs.   unknown validity does not infer anything about the correct direction   in the decision tree.  In other words, knowing the validity of a CA   certificate does not indicate that the target is more likely found   through that path than another.)   Justification:  Certificates in the path cache have been validated   previously.  Assuming the initial constraints have not changed, it is   highly likely that the path from that certificate to a trust anchor   is still valid.  (Changes to the initial constraints may cause a   certificate previously considered valid to no longer be considered   valid.)   Note:  It is important that items in the path cache have appropriate   life times.  For example, it could be inappropriate to cache a   relationship beyond the period the related CRL will be trusted by the   application.  It is also critical to consider certificates and CRLs   farther up the path when setting cache lifetimes.  For example, if   the issuer certificate expires in ten days, but the issued   certificate is valid for 20 days, caching the relationship beyond 10   days would be inappropriate.3.5.6.  Previously Verified Signatures   May be used to eliminate certificates:  Yes   Number of possible values:  Binary   Components required:  Path Cache   Forward Method:   If a previously verified relationship exists in the   path cache between the subject certificate and a public key present   in one or more issuer certificates, all the certificates containingCooper, et al.               Informational                     [Page 49]

RFC 4158              Certification Path Building         September 2005   said public key have higher priority.  Other certificates may be   eliminated or set to zero priority.   Reverse Method:  If known bad signature relationships exist between   certificates, these relationships can be used to eliminate potential   certificates from the decision tree.  Nothing can be concluded about   the likelihood of finding a given target certificate down one branch   versus another using known good signature relationships.   Justification: If the public key in a certificate (A) was previously   used to verify a signature on a second certificate (B), any and all   certificates containing the same key as (A) may be used to verify the   signature on (B).  Likewise, any certificates that do not contain the   same key as (A) cannot be used to verify the signature on (B).  This   forward direction method is especially strong for multiply cross-   certified CAs after a key rollover has occurred.3.5.7.  Path Length Constraints   May be used to eliminate certificates: Yes   Number of possible values: Binary   Components required: None   Forward Method:  Certificates with basic constraints present and   containing a path length constraint that would invalidate the current   path (the current length is known since the software is building from   the target certificate) may be eliminated or set to zero priority.   Otherwise, the priority is 100%.   Reverse Method:  This method may be applied in reverse.  To apply it,   the builder keeps a current path length constraint variable and then   sets zero priority for (or eliminates) certificates that would   violate the constraint.   Justification:  A valid path cannot be built if the path length   constraint has been violated.3.5.8.  Name Constraints   May be used to eliminate certificates:  Yes   Number of possible values:  Binary   Components required:  None   Forward Method:  Certificates that contain nameConstraints that would   be violated by certificates already in the path to this point are   given zero priority or eliminated.Cooper, et al.               Informational                     [Page 50]

RFC 4158              Certification Path Building         September 2005   Reverse Method:  Certificates that will allow successful processing   of any name constraints present in the path to this point are given   higher priority.   Justification:  A valid path cannot be built if name constraints are   violated.3.5.9.  Certificate Is Not Revoked   May be used to eliminate certificates: No   Number of possible values:  Three   Components required:  CRL Cache   Forward Method:  If a current CRL for a certificate is present in the   CRL cache, and the certificate serial number is not on the CRL, the   certificate has priority.  If the certificate serial number is   present on the CRL, it has zero priority.  If an (acceptably fresh)   OCSP response is available for a certificate, and identifies the   certificate as valid, the certificate has priority.  If an OCSP   response is available for a certificate, and identifies the   certificate as invalid, the certificate has zero priority.   Reverse Method:  Same as Forward.   Alternately, the certificate may be eliminated if the CRL or OCSP   response is verified.  That is, fully verify the CRL or OCSP response   signature and relationship to the certificate in question in   accordance with [RFC3280].  While this is viable, the signature   verification required makes it less attractive as an elimination   method.  It is suggested that this method only be used for sorting   and that CRLs and OCSP responses are validated post path building.   Justification:  Certificates known to be not revoked can be   considered more likely to be valid than certificates for which the   revocation status is unknown.  This is further justified if CRL or   OCSP response validation is performed post path validation - CRLs or   OCSP responses are only retrieved when complete paths are found.   NOTE:  Special care should be taken to allow meaningful errors to   propagate to the caller, especially in cases where the target   certificate is revoked.  If a path builder eliminates certificates   using CRLs or OCSP responses, some status information should be   preserved so that a meaningful error may be returned in the event no   path is found.Cooper, et al.               Informational                     [Page 51]

RFC 4158              Certification Path Building         September 20053.5.10.  Issuer Found in the Path Cache   May be used to eliminate certificates: No   Number of possible values: Binary   Components required:  Certification Path Cache   Forward Method:  A certificate whose issuer has an entry (or entries)   in the path cache has priority.   Reverse Method:  Does not apply.   Justification:  Since the path cache only contains entries for   certificates that were previously validated back to a trust anchor,   it is more likely than not that the same or a new path may be built   from that point to the (or one of the) trust anchor(s).  For   certificates whose issuers are not found in the path cache, nothing   can be concluded.   NOTE: This method is not the same as the method named "Certificate   Was Previously Validated".  It is possible for this sorting method to   evaluate to true while the other method could evaluate to zero.3.5.11.  Issuer Found in the Application Protocol   May be used to eliminate certificates: No   Number of possible values: Binary   Components required:  Certification Path Cache   Forward Method:  If the issuer of a certificate sent by the target   through the application protocol (SSL/TLS, S/MIME, etc.), matches the   signer of the certificate you are looking at, then that certificate   has priority.   Reverse Method:  If the subject of a certificate matches the issuer   of a certificate sent by the target through the application protocol   (SSL/TLS, S/MIME, etc.), then that certificate has priority.   Justification:  The application protocol may contain certificates   that the sender considers valuable to certification path building,   and are more likely to lead to a path to the target certificate.3.5.12.  Matching Key Identifiers (KIDs)   May be used to eliminate certificates:  No   Number of possible values:  Three   Components required:  None   Forward Method:  Certificates whose subject key identifier (SKID)Cooper, et al.               Informational                     [Page 52]

RFC 4158              Certification Path Building         September 2005   matches the current certificate's authority key identifier (AKID)   have highest priority.  Certificates without a SKID have medium   priority.  Certificates whose SKID does not match the current   certificate's AKID (if both are present) have zero priority.  If the   current certificate expresses the issuer name and serial number in   the AKID, certificates that match both these identifiers have highest   priority.  Certificates that match only the issuer name in the AKID   have medium priority.   Reverse Method:  Certificates whose AKID matches the current   certificate's SKID have highest priority.  Certificates without an   AKID have medium priority.  Certificates whose AKID does not match   the current certificate's SKID (if both are present) have zero   priority.  If the certificate expresses the issuer name and serial   number in the AKID, certificates that match both these identifiers in   the current certificate have highest priority.  Certificates that   match only the issuer name in the AKID have medium priority.   Justification:  Key Identifier (KID) matching is a very useful   mechanism for guiding path building (that is their purpose in the   certificate) and should therefore be assigned a heavy weight.   NOTE:  Although required to be present by [RFC3280], it is extremely   important that KIDs be used only as sorting criteria or as hints   during certification path building.  KIDs are not required to match   during certification path validation and cannot be used to eliminate   certificates.  This is of critical importance for interoperating   across domains and multi-vendor implementations where the KIDs may   not be calculated in the same fashion.3.5.13.  Policy Processing   May be used to eliminate certificates: Yes   Number of possible values: Three   Components required: None   Forward Method:  Certificates that satisfy Forward Policy Chaining   have priority.  (SeeSection 4 entitled "Forward Policy Chaining" for   details.)  If the caller provided an initial-policy-set and did not   set the initial-require-explicit flag, the weight of this sorting   method should be increased.  If the initial-require-explicit-policy   flag was set by the caller or by a certificate, certificates may be   eliminated.   Reverse Method:  Certificates that contain policies/policy mappings   that will allow successful policy processing of the path to this   point have priority.  If the caller provided an initial-policy-set   and did not set the initial-require-explicit flag, the weight of thisCooper, et al.               Informational                     [Page 53]

RFC 4158              Certification Path Building         September 2005   sorting method should be increased.  Certificates may be eliminated   only if initial-require-explicit was set by the caller or if   require-explicit-policy was set by a certificate in the path to this   point.   Justification:  In a policy-using environment, certificates that   successfully propagate policies are more likely part of an intended   certification path than those that do not.   When building in the forward direction, it is always possible that a   certificate closer to the trust anchor will set the require-   explicit-policy indicator; so giving preference to certification   paths that propagate policies may increase the probability of finding   a valid path first.  If the caller (or a certificate in the current   path) has specified or set the initial-require-explicit-policy   indicator as true, this sorting method can also be used to eliminate   certificates when building in the forward direction.   If building in reverse, it is always possible that a certificate   farther along the path will set the require-explicit-policy   indicator; so giving preference to those certificates that propagate   policies will serve well in that case.  In the case where require-   explicit-policy is set by certificates or the caller, certificates   can be eliminated with this method.3.5.14.  Policies Intersect the Sought Policy Set   May be used to eliminate certificates: No   Number of possible values: Additive   Components required: None   Forward Method:  Certificates that assert policies found in the   initial-acceptable-policy-set have priority.  Each additional   matching policy could have an additive affect on the total score.   Alternately, this could be binary; it matches 1 or more, or matches   none.   Reverse Method:  Certificates that assert policies found in the   target certificate or map policies to those found in the target   certificate have priority.  Each additional matching policy could   have an additive affect on the total score.  Alternately, this could   be binary; it matches 1 or more, or matches none.   Justification:  In the forward direction, as the path draws near to   the trust anchor in a cross-certified environment, the policies   asserted in the CA certificates will match those in the caller's   domain.  Since the initial acceptable policy set is specified in theCooper, et al.               Informational                     [Page 54]

RFC 4158              Certification Path Building         September 2005   caller's domain, matches may indicate that the path building is   drawing nearer to a desired trust anchor.  In the reverse direction,   finding policies that match those of the target certificate may   indicate that the path is drawing near to the target's domain.3.5.15.  Endpoint Distinguished Name (DN) Matching   May be used to eliminate certificates: No   Number of possible values: Binary   Components required: None   Forward Method:  Certificates whose issuer exactly matches a trust   anchor subject DN have priority.   Reverse Method:  Certificates whose subject exactly matches the   target entity issuer DN have priority.   Justification:  In the forward direction, if a certificate's issuer   DN matches a trust anchor's DN [X.501], then it may complete the   path.  In the reverse direction, if the certificate's subject DN   matches the issuer DN of the target certificate, it may be the last   certificate required to complete the path.3.5.16.  Relative Distinguished Name (RDN) Matching   May be used to eliminate certificates: No   Number of possible values: Sliding Scale   Components required: None   Forward Method:  Certificates that match more ordered RDNs between   the issuer DN and a trust anchor DN have priority.  When all the RDNs   match, this yields the highest priority.   Reverse Method: Certificates with subject DNs that match more RDNs   with the target's issuer DN have higher priority.  When all the RDNs   match, this yields the highest priority.   Justification:  In PKIs the DNs are frequently constructed in a tree   like fashion.  Higher numbers of matches may indicate that the trust   anchor is to be found in that direction within the tree.  Note that   in the case where all the RDNs match [X.501], this sorting method   appears to mirror the preceding one.  However, this sorting method   should be capable of producing a 100% weight even if the issuer DN   has more RDNs than the trust anchor.  The Issuer DN need only contain   all the RDNs (in order) of the trust anchor.   NOTE: In the case where all RDNs match, this sorting method mirrors   the functionality of the preceding one.  This allows for partialCooper, et al.               Informational                     [Page 55]

RFC 4158              Certification Path Building         September 2005   matches to be weighted differently from exact matches.  Additionally,   this method can require a lot of processing if many trust anchors are   present.3.5.17.  Certificates are Retrieved from cACertificate Directory         Attribute   May be used to eliminate certificates: No   Number of possible values: Binary   Components required: Certificate Cache with flags for the attribute   from where the certificate was retrieved and Remote Certificate   Storage/Retrieval using a directory   Forward Method:   Certificates retrieved from the cACertificate   directory attribute have priority over certificates retrieved from   the crossCertificatePair attribute. (See [RFC2587].)   Reverse Method:  Does not apply.   Justification:  The cACertificate directory attribute contains   certificates issued from local sources and self issued certificates.   By using the cACertificate directory attribute before the   crossCertificatePair attribute, the path-building algorithm will   (depending on the local PKI configuration) tend to demonstrate a   preference for the local PKI before venturing to external cross-   certified PKIs.  Most of today's PKI applications spend most of their   time processing information from the local (user's own) PKI, and the   local PKI is usually very efficient to traverse due to proximity and   network speed.3.5.18.  Consistent Public Key and Signature Algorithms   May be used to eliminate certificates: Yes   Number of possible values: Binary   Components required: None   Forward Method:  If the public key in the issuer certificate matches   the algorithm used to sign the subject certificate, then it has   priority.  (Certificates with unmatched public key and signature   algorithms may be eliminated.)   Reverse Method:  If the public key in the current certificate matches   the algorithm used to sign the subject certificate, then it has   priority.  (Certificates with unmatched public key and signature   algorithms may be eliminated.)   Justification:  Since the public key and signature algorithms are not   consistent, the signature on the subject certificate will not verifyCooper, et al.               Informational                     [Page 56]

RFC 4158              Certification Path Building         September 2005   successfully.  For example, if the issuer certificate contains an RSA   public key, then it could not have issued a subject certificate   signed with the DSA-with-SHA-1 algorithm.3.5.19.  Similar Issuer and Subject Names   May be used to eliminate certificates:  No   Number of possible values:  Sliding Scale   Components required:  None   Forward Method:  Certificates encountered with a subject DN that   matches more RDNs with the issuer DN of the target certificate have   priority.   Reverse Method:  Same as forward.   Justification:  As it is generally more efficient to search the local   domain prior to branching to cross-certified domains, using   certificates with similar names first tends to make a more efficient   path builder.  Cross-certificates issued from external domains will   generally match fewer RDNs (if any), whereas certificates in the   local domain will frequently match multiple RDNs.3.5.20.  Certificates in the Certification Cache   May be used to eliminate certificates:  No   Number of possible values:  Three   Components required:  Local Certificate Cache and Remote Certificate   Storage/Retrieval (e.g., LDAP directory as the repository)   Forward Method:  A certificate whose issuer certificate is present in   the certificate cache and populated with certificates has higher   priority.  A certificate whose issuer's entry is fully populated with   current data (all certificate attributes have been searched within   the timeout period) has higher priority.   Reverse Method:  If the subject of a certificate is present in the   certificate cache and populated with certificates, then it has higher   priority.  If the entry is fully populated with current data (all   certificate attributes have been searched within the timeout period)   then it has higher priority.   Justification:  The presence of required directory values populated   in the cache increases the likelihood that all the required   certificates and CRLs needed to complete the path from this   certificate to the trust anchor (or target if building in reverse)   are present in the cache from a prior path being developed, therebyCooper, et al.               Informational                     [Page 57]

RFC 4158              Certification Path Building         September 2005   eliminating the need for directory access to complete the path.  In   the event no path can be found, the performance cost is low since the   certificates were likely not retrieved from the network.3.5.21.  Current CRL Found in Local Cache   May be used to eliminate certificates: No   Number of possible values:  Binary   Components Required:  CRL Cache   Forward Method:  Certificates have priority if the issuer's CRL entry   exists and is populated with current data in the CRL cache.   Reverse Method:  Certificates have priority if the subject's CRL   entry exists and is populated with current data in the CRL cache.   Justification:  If revocation is checked only after a complete path   has been found, this indicates that a complete path has been found   through this entity at some past point, so a path still likely   exists.  This also helps reduce remote retrievals until necessary.3.6.  Certificate Sorting Methods for Revocation Signer Certification      Paths   Unless using a locally-configured OCSP responder or some other   locally-configured trusted revocation status service, certificate   revocation information is expected to be provided by the PKI that   issued the certificate.  It follows that when building a   certification path for a Revocation Signer certificate, it is   desirable to confine the building algorithm to the PKI that issued   the certificate.  The following sorting methods seek to order   possible paths so that the intended Revocation Signer certification   path is found first.   These sorting methods are not intended to be used in lieu of the ones   described in the previous section; they are most effective when used   in conjunction with those inSection 3.5. Some sorting criteria below   have identical names as those in the preceding section.  This   indicates that the sorting criteria described in the preceding   section are modified slightly when building the Revocation Signer   certification path.3.6.1.  Identical Trust Anchors   May be used to eliminate certificates: No   Number of possible values: Binary   Components required: Is-revocation-signer indicator and the   Certification Authority's trust anchorCooper, et al.               Informational                     [Page 58]

RFC 4158              Certification Path Building         September 2005   Forward Method:  Not applicable.   Reverse Method:  Path building should begin from the same trust   anchor used to validate the Certification Authority before trying any   other trust anchors.  If any trust anchors exist with a different   public key but an identical subject DN to that of the Certification   Authority's trust anchor, they should be tried prior to those with   mismatched names.   Justification:  The revocation information for a given certificate   should be produced by the PKI that issues the certificate.   Therefore, building a path from a different trust anchor than the   Certification Authority's is not desirable.3.6.2.  Endpoint Distinguished Name (DN) Matching   May be used to eliminate certificates: No   Number of possible values: Binary   Components required: Is-revocation-signer indicator and the   Certification Authority's trust anchor   Forward Method:  Operates identically to the sorting method described   in 3.5.15, except that instead of performing the matching against all   trust anchors, the DN matching is performed only against the trust   anchor DN used to validate the CA certificate.   Reverse Method:  No change for Revocation Signer's certification   path.   Justification:  The revocation information for a given certificate   should be produced by the PKI that issues the certificate.   Therefore, building a path to a different trust anchor than the CA's   is not desirable.  This sorting method helps to guide forward   direction path building toward the trust anchor used to validate the   CA certificate.3.6.3.  Relative Distinguished Name (RDN) Matching   May be used to eliminate certificates: No   Number of possible values: Sliding Scale   Components required: Is-revocation-signer indicator and the   Certification Authority's trust anchor   Forward Method:  Operates identically to the sorting method described   in 3.5.16 except that instead of performing the RDN matching against   all trust anchors, the matching is performed only against the trust   anchor DN used to validate the CA certificate.Cooper, et al.               Informational                     [Page 59]

RFC 4158              Certification Path Building         September 2005   Reverse Method:  No change for Revocation Signer's certification   path.   Justification:  The revocation information for a given certificate   should be produced by the PKI that issues the certificate.   Therefore, building a path to a different trust anchor than the CA's   is not desirable.  This sorting method helps to guide forward   direction path building toward the trust anchor used to validate the   CA certificate.3.6.4.  Identical Intermediate Names   May be used to eliminate certificates: No   Number of possible values: Binary   Components required: Is-revocation-signer indicator and the   Certification Authority's complete certification path   Forward Method:  If the issuer DN in the certificate matches the   issuer DN of a certificate in the Certification Authority's path, it   has higher priority.   Reverse Method:  If the subject DN in the certificate matches the   subject DN of a certificate in the Certification Authority's path, it   has higher priority.   Justification:  Following the same path as the Certificate should   deter the path-building algorithm from wandering in an inappropriate   direction.  Note that this sorting method is indifferent to whether   the certificate is self-issued.  This is beneficial in this situation   because it would be undesirable to lower the priority of a re-key   certificate.4.  Forward Policy Chaining   It is tempting to jump to the conclusion that certificate policies   offer little assistance to path building when building from the   target certificate.  It's easy to understand the "validate as you go"   approach from the trust anchor, and much less obvious that any value   can be derived in the other direction.  However, since policy   validation consists of the intersection of the issuer policy set with   the subject policy set and the mapping of policies from the issuer   set to the subject set, policy validation can be done while building   a path in the forward direction as well as the reverse.  It is simply   a matter of reversing the procedure.  That is not to say this is as   ideal as policy validation when building from the trust anchor, but   it does offer a method that can be used to mostly eliminate what has   long been considered a weakness inherent to building in the forward   (from the target certificate) direction.Cooper, et al.               Informational                     [Page 60]

RFC 4158              Certification Path Building         September 20054.1.  Simple Intersection   The most basic form of policy processing is the intersection of the   policy sets from the first CA certificate through the target   certificate.  Fortunately, the intersection of policy sets will   always yield the same final set regardless of the order of   intersection.  This allows processing of policy set intersections in   either direction.  For example, if the trust anchor issues a CA   certificate (A) with policies {X,Y,Z}, and that CA issues another CA   certificate (B) with policies {X,Y}, and CA B then issues a third CA   certificate (C) with policy set {Y,G}, one normally calculates the   policy set from the trust anchor as follows:   1) Intersect A{X,Y,Z} with B{X,Y} to yield the set {X,Y}   2) Intersect that result, {X,Y} with C{Y,G} to yield the final set      {Y}   Now it has been shown that certificate C is good for policy Y.   The other direction is exactly the same procedure, only in reverse:   1) Intersect C{Y,G} with B{X,Y} to yield the set {Y}   2) Intersect that result, {Y} with A{X,Y,Z} to yield the final set      {Y}   Just like in the reverse direction, it has been shown that   certificate C is good for policy Y, but this time in the forward   direction.   When building in the forward direction, policy processing is handled   much like it is in reverse -- the software lends preference to   certificates that propagate policies.  Neither approach guarantees   that a path with valid policies will be found, but rather both   approaches help guide the path in the direction it should go in order   for the policies to propagate.   If the caller has supplied an initial-acceptable-policy set, there is   less value in using it when building in the forward direction unless   the caller also set inhibit-policy-mapping.  In that case, the path   builder can further constrain the path building to propagating   policies that exist in the initial-acceptable-policy-set.  However,   even if the inhibit-policy-mapping is not set, the initial-policy-set   can still be used to guide the path building toward the desired trust   anchor.Cooper, et al.               Informational                     [Page 61]

RFC 4158              Certification Path Building         September 20054.2.  Policy Mapping   When a CA issues a certificate into another domain, an environment   with disparate policy identifiers to its own, the CA may make use of   policy mappings to map equivalence from the local domain's policy to   the non-local domain's policy.  If in the prior example, A had   included a policy mapping that mapped X to G in the certificate it   issued to B, C would be good for X and Y:   1) Intersect A{X,Y,Z} with B{X,Y} to yield the set {X,Y}   2) Process Policy Mappings in B's certificate (X maps to G) to yield      {G,Y} (same as {Y,G})   3) Intersect that result, {G,Y} with C{Y,G} to yield the final set      {G,Y}   Since policies are always expressed in the relying party's domain,   the certificate C is said to be good for {X, Y}, not {Y, G}.  This is   because "G" doesn't mean anything in the context of the trust anchor   that issued A without the policy mapping.   When building in the forward direction, policies can be "unmapped" by   reversing the mapping procedure.  This procedure is limited by one   important aspect: if policy mapping has occurred in the forward   direction, there is no mechanism by which it can be known in advance   whether or not a future addition to the current path will invalidate   the policy chain (assuming one exists) by setting inhibit-policy-   mapping.  Fortunately, it is uncommon practice to set this flag.  The   following is the procedure for processing policy mapping in the   forward direction:   1) Begin with C's policy set {Y,G}   2) Apply the policy mapping in B's certificate (X maps to G) in      reverse to yield {Y,X} (same as {X,Y})   3) Intersect the result {X,Y} with B{X,Y} to yield the set {X,Y}   4) Intersect that result, {X,Y}, with A{X,Y,Z} to yield the final set      {X,Y}   Just like in the reverse direction, it is determined in the forward   direction that certificate C is good for policies {X,Y}.  If during   this procedure, an inhibit-policy-mapping flag was encountered, what   should be done?  This is reasonably easy to keep track of as well.   The software simply maintains a flag on any policies that were   propagated as a result of a mapping; just a simple Boolean kept withCooper, et al.               Informational                     [Page 62]

RFC 4158              Certification Path Building         September 2005   the policies in the set.  Imagine now that the certificate issued to   A has the inhibit-policy-mapping constraint expressed with a skip   certificates value of zero.   1) Begin with C's policy set {Y,G}   2) Apply the policy mapping in B's certificate and mark X as      resulting from a mapping. (X maps to G) in reverse to yield {Y,Xm}      (same as {Xm,Y})   3) Intersect the result {Xm,Y} with B{X,Y} to yield the set {Xm,Y}   4) A's certificate expresses the inhibit policy mapping constraint,      so eliminate any policies in the current set that were propagated      due to mapping (which is Xm) to yield {Y}   5) Intersect that result, {Y} with A{X,Y,Z} to yield the final set      {Y}   If in our example, the policy set had gone to empty at any point (and   require-explicit-policy was set), the path building would back up and   try to traverse another branch of the tree.  This is analogous to the   path-building functionality utilized in the reverse direction when   the policy set goes to empty.4.3.  Assigning Scores for Forward Policy Chaining   Assuming the path-building module is maintaining the current forward   policy set, weights may be assigned using the following procedure:   1) For each CA certificate being scored:      a. Copy the current forward policy set.      b. Process policy mappings in the CA certificate in order to         "un-map" policies, if any.      c. Intersect the resulting set with CA certificate's policies.   The larger the policy set yielded, the larger the score for that CA   certificate.   2) If an initial acceptable set was supplied, intersect this set with      the resulting set for each CA certificate from (1).   The larger the resultant set, the higher the score is for this   certificate.Cooper, et al.               Informational                     [Page 63]

RFC 4158              Certification Path Building         September 2005   Other scoring schemes may work better if the operating environment   dictates.5.  Avoiding Path-Building Errors   This section defines some errors that may occur during the path-   building process, as well as ways to avoid these errors when   developing path-building functions.5.1.  Dead Ends   When building certification paths in a non-hierarchical PKI   structure, a simple path-building algorithm could fail prematurely   without finding an existing path due to a "dead end".  Consider the   example in Figure 14.            +----+      +---+            | TA |      | Z |            +----+      +---+               |          |               |          |               V          V             +---+      +---+             | C |<-----| Y |             +---+      +---+               |               |               V             +--------+             | Target |             +--------+      Figure 14 - Dead End Example   Note that in the example, C has two certificates: one issued by Y,   and the other issued by the Trust Anchor.  Suppose that a simple   "find issuer" algorithm is used, and the order in which the path   builder found the certificates was Target(C), C(Y), Y(Z), Z(Z).  In   this case, Z has no certificates issued by any other entities, and so   the simplistic path-building process stops.  Since Z is not the   relying party's trust anchor, the certification path is not complete,   and will not validate.  This example shows that in anything but the   simplest PKI structure, additional path-building logic will need to   handle the cases in which entities are issued multiple certificates   from different issuers.  The path-building algorithm will also need   to have the ability to traverse back up the decision tree and try   another path in order to be robust.Cooper, et al.               Informational                     [Page 64]

RFC 4158              Certification Path Building         September 20055.2.  Loop Detection   In a non-hierarchical PKI structure, a path-building algorithm may   become caught in a loop without finding an existing path.  Consider   the example below:             +----+             | TA |             +----+               |               |             +---+      +---+             | A |    ->| Z |             +---+   /  +---+               |    /     |               |   /      |               V  /       V             +---+      +---+             | B |<-----| Y |             +---+      +---+               |               |               V             +--------+             | Target |             +--------+      Figure 15 - Loop Example   Let us suppose that in this example the simplest "find issuer"   algorithm is used, and the order in which certificates are retrieved   is Target(B), B(Y), Y(Z), Z(B), B(Y), Y(Z), Z(B), B(Y), ... A loop   has formed that will cause the correct path (Target, B, A) to never   be found.  The certificate processing system will need to recognize   loops created by duplicate certificates (which are prohibited in a   path by [X.509]) before they form to allow the certification path-   building process to continue and find valid paths.  The authors of   this document recommend that the loop detection not only detect the   repetition of a certificate in the path, but also detect the presence   of the same subject name / subject alternative name/ subject public   key combination occurring twice in the path.  A name/key pair should   only need to appear once in the path.  (SeeSection 2.4.2 for more   information on the reasoning behind this recommendation.)Cooper, et al.               Informational                     [Page 65]

RFC 4158              Certification Path Building         September 20055.3.  Use of Key Identifiers   Inconsistent and/or incompatible approaches to computing the subject   key identifier and authority key identifier in public key   certificates can cause failures in certification path-building   algorithms that use those fields to identify certificates, even   though otherwise valid certification paths may exist.  Path-building   implementations should use existing key identifiers and not attempt   to re-compute subject key identifiers.  It is extremely important   that Key Identifiers be used only as sorting criteria or hints.  KIDs   are not required to match during certification path validation and   cannot be used to eliminate certificates.  This is of critical   importance for interoperating across domains and multi-vendor   implementations where the KIDs may not be calculated in the same   fashion.   Path-building and processing implementations should not rely on the   form of authority key identifier that uses the authority DN and   serial number as a restrictive matching rule, because cross-   certification can lead to this value not being matched by the cross-   certificates.5.4.  Distinguished Name Encoding   Certification path-building software should not rely on DNs being   encoded as PrintableString.  Although frequently encoded as   PrintableString, DNs may also appear as other types, including   BMPString or UTF8String.  As a result, software systems that are   unable to process BMPString and UTF8String encoded DNs may be unable   to build and validate some certification paths.   Furthermore, [RFC3280] compliant certificates are required to encode   DNs as UTF8String as of January 1, 2004.  Certification path-building   software should be prepared to handle "name rollover" certificates as   described in [RFC3280].  Note that the inclusion of a "name rollover"   certificate in a certification path does not constitute repetition of   a DN and key.  Implementations that include the "name rollover"   certificate in the path should ensure that the DNs with differing   encoding are regarded as dissimilar.  (Implementations may instead   handle matching DNs of different encodings and will therefore not   need to include "name rollover" certificates in the path.)Cooper, et al.               Informational                     [Page 66]

RFC 4158              Certification Path Building         September 20056.  Retrieval Methods   Building a certification path requires the availability of the   certificates and CRLs that make up the path.  There are many   different methods for obtaining these certificates and CRLs.  This   section lists a few of the common ways to perform this retrieval, as   well as some suggested approaches for improving performance.  This   section is not intended to provide a complete reference for   certificate and CRL retrieval methods or optimizations that would be   useful in certification path building.6.1.  Directories Using LDAP   Most applications utilize the Lightweight Directory Access Protocol   (LDAP) when retrieving data from directories following the X.500   model.  Applications may encounter directories which support either   LDAP v2 [RFC1777] or LDAP v3 [RFC3377].   The LDAP v3 specification defines one attribute retrieval option, the   "binary" option.  When specified in an LDAP retrieval request, this   option was intended to force the directory to ignore any string-based   representations of BER-encoded directory information, and send the   requested attribute(s) in BER format.  Since all PKI objects of   concern are BER-encoded objects, the "binary" option should be used.   However, not all directories support the "binary" option.  Therefore,   applications should be capable of requesting attributes with and   without the "binary" option.  For example, if an application wishes   to retrieve the userCertificate attribute, the application should   request "userCertificate;binary".  If the desired information is not   returned, robust implementations may opt to request "userCertificate"   as well.   The following attributes should be considered by PKI application   developers when performing certificate retrieval from LDAP sources:   userCertificate: contains certificates issued by one or more      certification authorities with a subject DN that matches that of      the directory entry.  This is a multi-valued attribute and all      values should be received and considered during path building.      Although typically it is expected that only end entity      certificates will be stored in this attribute, (e.g., this is the      attribute an application would request to find a person's      encryption certificate) implementers may opt to search this      attribute when looking in CA entries to make their path builder      more robust.  If it is empty, the overhead added by including this      attribute when already requesting one or both of the two below is      marginal.Cooper, et al.               Informational                     [Page 67]

RFC 4158              Certification Path Building         September 2005   cACertificate: contains self-issued certificates (if any) and any      certificates issued to this certification authority by other      certification authorities in the same realm.  (Realm is dependent      upon local policy.)  This is a multi-valued attribute and all      values should be received and considered during path building.   crossCertificatePair: in conformant implementations, the      crossCertificatePair is used to contain all, except self-issued      certificates issued to this certification authority, as well as      certificates issued by this certification authority to other      certification authorities.  Each attribute value is a structure      containing two elements.  The issuedToThisCA element contains      certificates issued to this certification authority by other      certification authorities.  The issuedByThisCA element contains      certificates issued by this certification authority to other      certification authorities.  Both elements of the      crossCertificatePair are labeled optional in the ASN.1 definition.      If both elements are present in a single value, the issuer name in      one certificate is required to match the subject name in the other      and vice versa, and the subject public key in one certificate      shall be capable of verifying the digital signature on the other      certificate and vice versa.  As this technology has evolved,      different standards have had differing requirements on where      information could be found.  For example, the LDAP v2 schema      [RFC2587] states that the issuedToThisCA (once called 'forward')      element of the crossCertificatePair attribute is mandatory and the      issuedByThisCA (once called 'reverse') element is optional.  In      contrast, Section 11.2.3 of [X.509] requires the issuedByThisCA      element to be present if the CA issues a certificate to another CA      if the subject is not a subordinate CA in a hierarchy.  Conformant      directories behave as required by [X.509], but robust path-      building implementations may want to retrieve all certificates      from the cACertificate and crossCertificatePair attributes to      ensure all possible certification authority certificates are      obtained.   certificateRevocationList: the certificateRevocationList attribute      contains a certificate revocation list (CRL).  A CRL is defined in      [RFC3280] as a time stamped list identifying revoked certificates,      which is signed by a CA or CRL issuer and made freely available in      a public repository.  Each revoked certificate is identified in a      CRL by its certificate serial number.  There may be one or more      CRLs in this attribute, and the values should be processed in      accordance with [RFC3280].Cooper, et al.               Informational                     [Page 68]

RFC 4158              Certification Path Building         September 2005   authorityRevocationList: the authorityRevocationList attribute also      contains CRLs.  These CRLs contain revocation information      regarding certificates issued to other CAs.  There may be one or      more CRLs in this attribute, and the values should be processed in      accordance with [RFC3280].   Certification path processing systems that plan to interoperate with   varying PKI structures and directory designs should at a minimum be   able to retrieve and process the userCertificate, cACertificate,   crossCertificatePair, certificateRevocationList, and   authorityRevocationList attributes from directory entries.6.2.  Certificate Store Access via HTTP   Another possible method of certificate retrieval is using HTTP as an   interface mechanism for retrieving certificates and CRLs from PKI   repositories.  A current PKIX document [CERTSTORE] provides a   protocol for a general-purpose interface capability for retrieving   certificates and CRLs from PKI repositories.  Since the [CERTSTORE]   document is a work in progress as of the writing of this document, no   details are given here on how to utilize this mechanism for   certificate and CRL retrieval.  Instead, refer to the [CERTSTORE]   document or its current version.  Certification path processing   systems may wish to implement support for this interface capability,   especially if they will be used in environments that will provide   HTTP-based access to certificates and CRLs.6.3.  Authority Information Access   The authority information access (AIA) extension, defined within   [RFC3280], indicates how to access CA information and services for   the issuer of the certificate in which the extension appears.  If a   certificate with an AIA extension contains an accessMethod defined   with the id-ad-caIssuers OID, the AIA may be used to retrieve one or   more certificates for the CA that issued the certificate containing   the AIA extension.  The AIA will provide a uniform resource   identifier (URI) [RFC3986] when certificates can be retrieved via   LDAP, HTTP, or FTP.  The AIA will provide a directoryName when   certificates can be retrieved via directory access protocol (DAP).   The AIA will provide an rfc822Name when certificates can be retrieved   via electronic mail.  Additionally, the AIA may specify the location   of an OCSP [RFC2560] responder that is able to provide revocation   information for the certificate.   If present, AIA may provide forward path-building implementations   with a direct link to a certificate for the issuer of a given   certificate.  Therefore, implementations may wish to provide support   for decoding the AIA extension and processing the LDAP, HTTP, FTP,Cooper, et al.               Informational                     [Page 69]

RFC 4158              Certification Path Building         September 2005   DAP, or e-mail locators.  Support for AIA is optional; [RFC3280]   compliant implementations are not required to populate the AIA   extension.  However, implementers of path-building and validation   modules are strongly encouraged to support AIA, especially the HTTP   transport; this will provide for usability and interoperability with   many existing PKIs.6.4.  Subject Information Access   The subject information access (SIA) extension, defined within   [RFC3280], indicates how to access information and services for the   subject of the certificate in which the extension appears.  If a   certificate with an SIA extension contains an accessMethod defined   with the id-ad-caRepository OID, the SIA may be used to locate one or   more certificates (and possibly CRLs) for entities issued   certificates by the subject.  The SIA will provide a uniform resource   identifier (URI) [RFC3986] when data can be retrieved via LDAP, HTTP,   or FTP.  The SIA will provide a directoryName when data can be   retrieved via directory access protocol (DAP).  The SIA will provide   an rfc822Name when data can be retrieved via electronic mail.   If present, the SIA extension may provide reverse path-building   implementations with the certificates required to continue building   the path.  Therefore, implementations may wish to provide support for   decoding the SIA extension and processing the LDAP, HTTP, FTP, DAP,   or e-mail locators.  Support for SIA is optional; [RFC3280] compliant   implementations are not required to populate the SIA extension.   However, implementers of path-building and validation modules are   strongly encouraged to support SIA, especially the HTTP transport;   this will provide for usability and interoperability with many   existing PKIs.6.5.  CRL Distribution Points   The CRL distribution points (CRLDP) extension, defined within   [RFC3280], indicates how to access CRL information.  If a CRLDP   extension appears within a certificate, the CRL(s) to which the CRLDP   refer are generally the CRLs that would contain revocation   information for the certificate.  The CRLDP extension may point to   multiple distribution points from which the CRL information may be   obtained; the certificate processing system should process the CRLDP   extension in accordance with [RFC3280].  The most common distribution   points contain URIs from which the appropriate CRL may be downloaded,   and directory names, which can be queried in a directory to retrieve   the CRL attributes from the corresponding entry.Cooper, et al.               Informational                     [Page 70]

RFC 4158              Certification Path Building         September 2005   If present, CRLDP can provide certificate processing implementations   with a link to CRL information for a given certificate.  Therefore,   implementations may wish to provide support for decoding the CRLDP   extension and using the information to retrieve CRLs.  Support for   CRLDP is optional and [RFC3280] compliant implementations need not   populate the CRLDP extension.  However, implementers of path-building   and validation modules are strongly encouraged to support CRLDPs.  At   a minimum, developers are encouraged to consider supporting the LDAP   and HTTP transports; this will provide for interoperability across a   wide range of existing PKIs.6.6.  Data Obtained via Application Protocol   Many application protocols, such as SSL/TLS and S/MIME, allow one   party to provide certificates and CRLs to another.  Data provided in   this method is generally very valuable to path-building software   (will provide direction toward valid paths), and should be stored and   used accordingly.  Note: self-signed certificates obtained via   application protocol are not trustworthy; implementations should only   consider the relying party's trust anchors when building paths.6.7.  Proprietary Mechanisms   Some certificate issuing systems and certificate processing systems   may utilize proprietary retrieval mechanisms, such as network mapped   drives, databases, or other methods that are not directly referenced   via the IETF standards.  Certificate processing systems may wish to   support other proprietary mechanisms, but should only do so in   addition to supporting standard retrieval mechanisms such as LDAP,   AIA, and CRLDP (unless functioning in a closed environment).7.  Improving Retrieval Performance   Retrieval performance can be improved through a few different   mechanisms, including the use of caches and setting a specific   retrieval order.  This section discusses a few methods by which the   performance of a certificate processing system may be improved during   the retrieval of PKI objects.  Certificate processing systems that   are consistently very slow during processing will be disliked by   users and will be slow to be adopted into organizations.  Certificate   processing systems are encouraged to do whatever possible to reduce   the delays associated with requesting and retrieving data from   external sources.Cooper, et al.               Informational                     [Page 71]

RFC 4158              Certification Path Building         September 20057.1.  Caching   Certificate processing systems operating in a non-hierarchical PKI   will often need to retrieve certificates and certificate revocation   lists (CRLs) from a source outside the application protocol.   Typically, these objects are retrieved from an X.500 or LDAP   repository, an Internet URI [RFC3986], or some other non-local   source.  Due to the delays associated with establishing connections   as well as network transfers, certificate processing systems ought to   be as efficient as possible when retrieving data from external   sources.  Perhaps the best way to improve retrieval efficiency is by   using a caching mechanism.  Certificate processing systems can cache   data retrieved from external sources for some period of time, but not   to exceed the useful period of the data (i.e., an expired certificate   need not be cached).  Although this comes at a cost of increased   memory/disk consumption by the system, the cost and performance   benefit of reducing network transmissions is great.  Also, CRLs are   often issued and available in advance of the nextUpdate date in the   CRL.  Implementations may wish to obtain these "fresher" CRLs before   the nextUpdate date has passed.   There are a number of different ways in which caching can be   implemented; the specifics of these methods can be used as   distinguishing characteristics between certificate processing   systems.  However, some things that implementers may wish to consider   when developing caching systems are as follows:      - If PKI objects are cached, the certification path-building        mechanism should be able to examine and retrieve from the cache        during path building.  This will allow the certificate        processing system to find or eliminate one or more paths quickly        without requiring external contact with a directory or other        retrieval mechanism.      - Sharing caches between multiple users (via a local area network        or LAN) may be useful if many users in one organization        consistently perform PKI operations with another organization.      - Caching not only PKI objects (such as certificates and CRLs) but        also relationships between PKI objects (storing a link between a        certificate and the issuer's certificate) may be useful.  This        linking may not always lead to the most correct or best        relationship, but could represent a linking that worked in        another scenario.      - Previously built paths and partial paths are quite useful to        cache, because they will provide information on previous        successes or failures.  Additionally, if the cache is safe fromCooper, et al.               Informational                     [Page 72]

RFC 4158              Certification Path Building         September 2005        unauthorized modifications, caching validation and signature        checking status for certificates, CRLs, and paths can also be        stored.7.2.  Retrieval Order   To optimize efficiency, certificate processing systems are encouraged   to also consider the order in which different PKI objects are   retrieved, as well as the mechanism from which they are retrieved.   If caching is utilized, the caches can be consulted for PKI objects   before attempting other retrieval mechanisms.  If multiple caches are   present (such as local disk and network), the caches can be consulted   in the order in which they can be expected to return their result   from fastest to slowest.  For example, if a certificate processing   system wishes to retrieve a certificate with a particular subject DN,   the system might first consult the local cache, then the network   cache, and then attempt directory retrieval.  The specifics of the   types of retrieval mechanisms and their relative costs are left to   the implementer.   In addition to ordering retrieval mechanisms, the certificate   processing system ought to order the relative merits of the different   external sources from which a PKI object can be retrieved.  If the   AIA is present within a certificate, with a URI [RFC3986] for the   issuer's certificate, the certificate processing system (if able) may   wish to attempt to retrieve the certificate first from local cache   and then by using that URI (because it is expected to point directly   to the desired certificate) before attempting to retrieve the   certificates that may exist within a directory.   If a directory is being consulted, it may be desirable to retrieve   attributes in a particular order.  A highly cross-certified PKI   structure will lead to multiple possibilities for certification   paths, which may mean multiple validation attempts before a   successful path is retrieved.  Therefore, cACertificate and   userCertificate (which typically contain certificates from within the   same 'realm') could be consulted before attempting to retrieve the   crossCertificatePair values for an entry.  Alternately, all three   attributes could be retrieved in one query, but cross-certificates   then tagged as such and used only after exhausting the possibilities   from the cACertificate attribute.  The best approach will depend on   the nature of the application and PKI environment.7.3.  Parallel Fetching and Prefetching   Much of this document has focused on a path-building algorithm that   minimizes the performance impact of network retrievals, by preventing   those retrievals and utilization of caches.  Another way to improveCooper, et al.               Informational                     [Page 73]

RFC 4158              Certification Path Building         September 2005   performance would be to allow network retrievals to be performed in   advance (prefetching) or at the same time that other operations are   performed (parallel fetching).  For example, if an email application   receives a signed email message, it could download the required   certificates and CRLs prior to the recipient viewing (or attempting   to verify) the message.  Implementations that provide the capability   of parallel fetching and/or prefetching, along with a robust cache,   can lead to greatly improved performance or user experience.8.  Security Considerations8.1.  General Considerations for Building a Certification Path   Although certification path building deals directly with security   relevant PKI data, the PKI data itself needs no special handling   because its integrity is secured with the digital signature applied   to it.  The only exception to this is the appropriate protection of   the trust anchor public keys.  These are to be kept safe and obtained   out of band (e.g., not from an electronic mail message or a   directory) with respect to the path-building module.   The greatest security risks associated with this document revolve   around performing certification path validation while certification   paths are built.  It is therefore noted here that fully implemented   certification path validation in accordance with [RFC3280] and   [X.509] is required in order for certification path building,   certification path validation, and the certificate using application   to be properly secured.  All of the Security Considerations listed inSection 9 of [RFC3280] apply equally here.   In addition, as with any application that consumes data from   potentially untrusted network locations, certification path-building   components should be carefully implemented so as to reduce or   eliminate the possibility of network based exploits.  For example, a   poorly implemented path-building module may not check the length of   the CRLDP URI [RFC3986] before using the C language strcpy() function   to place the address in a 1024 byte buffer.  A hacker could use such   a flaw to create a buffer overflow exploit by encoding malicious   assembly code into the CRLDP of a certificate and then use the   certificate to attempt an authentication.  Such an attack could yield   system level control to the attacker and expose the sensitive data   the PKI was meant to protect.   Path building may be used to mount a denial of service (DOS) attack.   This might occur if multiple simple requests could be performed that   cause a server to perform a number of path developments, each taking   time and resources from the server.  Servers can help avoid this by   limiting the resources they are willing to devote to path building,Cooper, et al.               Informational                     [Page 74]

RFC 4158              Certification Path Building         September 2005   and being able to further limit those resources when the load is   heavy.  Standard DOS protections such as systems that identify and   block attackers can also be useful.   A DOS attack can be also created by presenting spurious CA   certificates containing very large public keys.  When the system   attempts to use the large public key to verify the digital signature   on additional certificates, a long processing delay may occur.  This   can be mitigated by either of two strategies.  The first strategy is   to perform signature verifications only after a complete path is   built, starting from the trust anchor.  This will eliminate the   spurious CA certificate from consideration before the large public   key is used.  The second strategy is to recognize and simply reject   keys longer than a certain size.   A similar DOS attack can occur with very large public keys in end   entity certificates.  If a system uses the public key in a   certificate before building and validating that certificate's   certification path, long processing delays may occur.  To mitigate   this threat, the public key in an end entity certificate should not   be used for any purpose until a complete certification path for that   certificate is built and validated.8.2.  Specific Considerations for Building Revocation Signer      Certification Paths   If the CRL Signer certificate (and certification path) is not   identical to the Certification Authority certificate (and   certification path), special care should be exercised when building   the CRL Signer certification path.   If special consideration is not given to building a CRL Signer   certification path, that path could be constructed such that it   terminates with a different root or through a different certification   path to the same root.  If this behavior is not prevented, the   relying party may end up checking the wrong revocation data, or even   maliciously substituted data, resulting in denial of service or   security breach.   For example, suppose the following certification path is built for E   and is valid for an example "high assurance" policy.      A->B->C->E   When the building/validation routine attempts to verify that E is not   revoked, C is referred to as the Certification Authority certificate.   The path builder finds that the CRL for checking the revocation   status of E is issued by C2; a certificate with the subject name "C",Cooper, et al.               Informational                     [Page 75]

RFC 4158              Certification Path Building         September 2005   but with a different key than the key that was used to sign E.  C2 is   referred to as the CRL Signer.  An unrestrictive certification path   builder might then build a path such as the following for the CRL   Signer C2 certificate:      X->Y->Z->C2   If a path such as the one above is permitted, nothing can be   concluded about the revocation status of E since C2 is a different CA   from C.   Fortunately, preventing this security problem is not difficult and   the solution also makes building CRL Signer certification paths very   efficient.  In the event the CRL Signer certificate is identical to   the Certification Authority certificate, the Certification Authority   certification path should be used to verify the CRL; no additional   path building is required.  If the CRL Signer certificate is not   identical to the Certification Authority certificate, a second path   should be built for the CRL Signer certificate in exactly the same   fashion as for any certificate, but with the following additional   guidelines:   1.  Trust Anchor:  The CRL Signer's certification path should start       with the same trust anchor as the Certification Authority's       certification path.  Any trust anchor certificate with a subject       DN matching that of the Certification Authority's trust anchor       should be considered acceptable though lower in priority than the       one with a matching public key and subject DN.  While different       trust anchor public keys are acceptable at the beginning of the       CRL signer's certification path and the Certification Authority's       certification path, both keys must be trusted by the relying       party per the recommendations inSection 8.1.   2.  CA Name Matching:  The subject DNs for all CA certificates in the       two certification paths should match on a one-to-one basis       (ignoring self-issued certificates) for the entire length of the       shorter of the two paths.   3.  CRL Signer Certification Path Length:  The length of the CRL       Signer certification path (ignoring self-issued certificates)       should be equal to or less than the length of the Certification       Authority certification path plus (+) one.  This allows a given       Certification Authority to issue a certificate to a       delegated/subordinate CRL Signer.  The latter configuration       represents the maximum certification path length for a CRL Signer       certificate.Cooper, et al.               Informational                     [Page 76]

RFC 4158              Certification Path Building         September 2005   The reasoning behind the first guideline is readily apparent.   Lacking this and the second guideline, any trusted CA could issue   CRLs for any other CA, even if the PKIs are not related in any   fashion.  For example, one company could revoke certificates issued   by another company if the relying party trusted the trust anchors   from both companies.  The two guidelines also prevent erroneous CRL   checks since Global uniqueness of names is not guaranteed.   The second guideline prevents roaming certification paths such as the   previously described example CRL Signer certification path for   A->B->C->E.  It is especially important that the "ignoring self-   issued certificates" is implemented properly.  Self-issued   certificates are cast out of the one-to-one name comparison in order   to allow for key rollover.  The path-building algorithm may be   optimized to only consider certificates with the acceptable subject   DN for the given point in the CRL Signer certification path while   building the path.   The third and final guideline ensures that the CRL used is the   intended one.  Without a restriction on the length of the CRL Signer   certification path, the path could roam uncontrolled into another   domain and still meet the first two guidelines.  For example, again   using the path A->B->C->E, the Certification Authority C, and a CRL   Signer C2, a CRL Signer certification path such as the following   could pass the first two guidelines:      A->B->C->D->X->Y->RogueCA->C2   In the preceding example, the trust anchor is identical for both   paths and the one-to-one name matching test passes for A->B->C.   However, accepting such a path has obvious security consequences, so   the third guideline is used to prevent this situation.  Applying the   second and third guideline to the certification path above, the path   builder could have immediately detected this path was not acceptable   (prior to building it) by examining the issuer DN in C2.  Given the   length and name guidelines, the path builder could detect that   "RogueCA" is not in the set of possible names by comparing it to the   set of possible CRL Signer issuer DNs, specifically, A, B, or C.   Similar consideration should be given when building the path for the   OCSP Responder certificate when the CA is the OCSP Response Signer or   the CA has delegated the OCSP Response signing to another entity.Cooper, et al.               Informational                     [Page 77]

RFC 4158              Certification Path Building         September 20059.  Acknowledgements   The authors extend their appreciation to David Lemire for his efforts   coauthoring "Managing Interoperability in Non-Hierarchical Public Key   Infrastructures" from which material was borrowed heavily for use in   the introductory sections.   This document has also greatly benefited from the review and   additional technical insight provided by Dr. Santosh Chokhani, Carl   Wallace, Denis Pinkas, Steve Hanna, Alice Sturgeon, Russ Housley, and   Tim Polk.10.  Normative References   [RFC3280]   Housley, R., Polk, W., Ford, W., and D. Solo, "Internet               X.509 Public Key Infrastructure Certificate and               Certificate Revocation List (CRL) Profile",RFC 3280,               April 2002.11.  Informative References   [MINHPKIS]  Hesse, P., and D. Lemire, "Managing Interoperability in               Non-Hierarchical Public Key Infrastructures", 2002               Conference Proceedings of the Internet Society Network               and Distributed System Security Symposium, February 2002.   [RFC1777]   Yeong, W., Howes, T., and S. Kille, "Lightweight               Directory Access Protocol",RFC 1777, March 1995.   [RFC2560]   Myers, M., Ankney, R., Malpani, A., Galperin, S., and C.               Adams, "X.509 Internet Public Key Infrastructure Online               Certificate Status Protocol - OCSP",RFC 2560, June 1999.   [RFC2587]   Boeyen, S., Howes, T., and P. Richard, "Internet X.509               Public Key Infrastructure LDAPv2 Schema",RFC 2587, June               1999.   [RFC3377]   Hodges, J. and R. Morgan, "Lightweight Directory Access               Protocol (v3): Technical Specification",RFC 3377,               September 2002.   [RFC3820]   Tuecke, S., Welch, V., Engert, D., Pearlman, L., and M.               Thompson, "Internet X.509 Public Key Infrastructure (PKI)               Proxy Certificate Profile",RFC 3820, June 2004.   [RFC3986]   Berners-Lee, T., Fielding, R., and L. Masinter, "Uniform               Resource Identifier (URI): Generic Syntax", STD 66,RFC3986, January 2005.Cooper, et al.               Informational                     [Page 78]

RFC 4158              Certification Path Building         September 2005   [X.501]     ITU-T Recommendation X.501: Information Technology - Open               Systems Interconnection - The Directory: Models, 1993.   [X.509]     ITU-T Recommendation X.509 (2000 E): Information               Technology - Open Systems Interconnection - The               Directory: Authentication Framework, March 2000.   [PKIXALGS]  Bassham, L., Polk, W. and R. Housley, "Algorithms and               Identifiers for the Internet X.509 Public Key               Infrastructure Certificate and Certificate Revocation               Lists (CRL) Profile",RFC 3279, April 2002.   [CERTSTORE] P. Gutmann, "Internet X.509 Public Key Infrastructure               Operational Protocols: Certificate Store Access via               HTTP", Work in Progress, August 2004.Cooper, et al.               Informational                     [Page 79]

RFC 4158              Certification Path Building         September 2005Authors' Addresses   Matt Cooper   Orion Security Solutions, Inc.   1489 Chain Bridge Rd, Ste. 300   McLean, VA  22101,  USA   Phone:  +1-703-917-0060   EMail:  mcooper@orionsec.com   Yuriy Dzambasow   A&N Associates, Inc.   999 Corporate Blvd Ste. 100   Linthicum, MD  21090,  USA   Phone:  +1-410-859-5449 x107   EMail:  yuriy@anassoc.com   Peter Hesse   Gemini Security Solutions, Inc.   4451 Brookfield Corporate Dr. Ste. 200   Chantilly, VA  20151,  USA   Phone:  +1-703-378-5808 x105   EMail:  pmhesse@geminisecurity.com   Susan Joseph   Van Dyke Technologies   6716 Alexander Bell Drive   Columbia, MD 21046   EMail:  susan.joseph@vdtg.com   Richard Nicholas   BAE Systems Information Technology   141 National Business Parkway, Ste. 210   Annapolis Junction, MD  20701,  USA   Phone:  +1-301-939-2722   EMail:  richard.nicholas@it.baesystems.comCooper, et al.               Informational                     [Page 80]

RFC 4158              Certification Path Building         September 2005Full Copyright Statement   Copyright (C) The Internet Society (2005).   This document is subject to the rights, licenses and restrictions   contained inBCP 78, and except as set forth therein, the authors   retain all their rights.   This document and the information contained herein are provided on an   "AS IS" basis and THE CONTRIBUTOR, THE ORGANIZATION HE/SHE REPRESENTS   OR IS SPONSORED BY (IF ANY), THE INTERNET SOCIETY AND THE INTERNET   ENGINEERING TASK FORCE DISCLAIM ALL WARRANTIES, EXPRESS OR IMPLIED,   INCLUDING BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF THE   INFORMATION HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED   WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.Intellectual Property   The IETF takes no position regarding the validity or scope of any   Intellectual Property Rights or other rights that might be claimed to   pertain to the implementation or use of the technology described in   this document or the extent to which any license under such rights   might or might not be available; nor does it represent that it has   made any independent effort to identify any such rights.  Information   on the procedures with respect to rights in RFC documents can be   found inBCP 78 andBCP 79.   Copies of IPR disclosures made to the IETF Secretariat and any   assurances of licenses to be made available, or the result of an   attempt made to obtain a general license or permission for the use of   such proprietary rights by implementers or users of this   specification can be obtained from the IETF on-line IPR repository athttp://www.ietf.org/ipr.   The IETF invites any interested party to bring to its attention any   copyrights, patents or patent applications, or other proprietary   rights that may cover technology that may be required to implement   this standard.  Please address the information to the IETF at ietf-   ipr@ietf.org.Acknowledgement   Funding for the RFC Editor function is currently provided by the   Internet Society.Cooper, et al.               Informational                     [Page 81]

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