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Internet Engineering Task Force (IETF)                        R. HousleyRequest for Comments: 8418                                Vigil SecurityCategory: Standards Track                                    August 2018ISSN: 2070-1721Use of the Elliptic Curve Diffie-Hellman Key Agreement Algorithmwith X25519 and X448 in the Cryptographic Message Syntax (CMS)Abstract   This document describes the conventions for using the Elliptic Curve   Diffie-Hellman (ECDH) key agreement algorithm with curve25519 and   curve448 in the Cryptographic Message Syntax (CMS).Status of This Memo   This is an Internet Standards Track document.   This document is a product of the Internet Engineering Task Force   (IETF).  It represents the consensus of the IETF community.  It has   received public review and has been approved for publication by   the Internet Engineering Steering Group (IESG).  Further   information on Internet Standards is available inSection 2 of   RFC 7841.   Information about the current status of this document, any   errata, and how to provide feedback on it may be obtained athttps://www.rfc-editor.org/info/rfc8418.Copyright Notice   Copyright (c) 2018 IETF Trust and the persons identified as the   document authors.  All rights reserved.   This document is subject toBCP 78 and the IETF Trust's Legal   Provisions Relating to IETF Documents   (https://trustee.ietf.org/license-info) in effect on the date of   publication of this document.  Please review these documents   carefully, as they describe your rights and restrictions with respect   to this document.  Code Components extracted from this document must   include Simplified BSD License text as described in Section 4.e of   the Trust Legal Provisions and are provided without warranty as   described in the Simplified BSD License.Housley                      Standards Track                    [Page 1]

RFC 8418             Using X25519 and X448 with CMS          August 2018Table of Contents1. Introduction ....................................................21.1. Terminology ................................................31.2. ASN.1 ......................................................32. Key Agreement ...................................................32.1. ANSI-X9.63-KDF .............................................42.2. HKDF .......................................................53. Enveloped-data Conventions ......................................53.1. EnvelopedData Fields .......................................63.2. KeyAgreeRecipientInfo Fields ...............................64. Authenticated-data Conventions ..................................74.1. AuthenticatedData Fields ...................................84.2. KeyAgreeRecipientInfo Fields ...............................85. Authenticated-enveloped-data Conventions ........................85.1. AuthEnvelopedData Fields ...................................85.2. KeyAgreeRecipientInfo Fields ...............................86. Certificate Conventions .........................................97. Key Agreement Algorithm Identifiers .............................98. SMIMECapabilities Attribute Conventions ........................109. Security Considerations ........................................1110. IANA Considerations ...........................................1211. References ....................................................1311.1. Normative References .....................................1311.2. Informative References ...................................14Appendix A. ASN.1 Module ..........................................16   Acknowledgements ..................................................18   Author's Address ..................................................181.  Introduction   This document describes the conventions for using Elliptic Curve   Diffie-Hellman (ECDH) key agreement using curve25519 and curve448   [CURVES] in the Cryptographic Message Syntax (CMS) [CMS].  Key   agreement is supported in three CMS content types: the enveloped-data   content type [CMS], authenticated-data content type [CMS], and the   authenticated-enveloped-data content type [AUTHENV].   The conventions for using some Elliptic Curve Cryptography (ECC)   algorithms in CMS are described in [CMSECC].  These conventions cover   the use of ECDH with some curves other than curve25519 and curve448   [CURVES].  Those other curves are not deprecated.   Using curve25519 with Diffie-Hellman key agreement is referred to as   "X25519".  Using curve448 with Diffie-Hellman key agreement is   referred to as "X448".Housley                      Standards Track                    [Page 2]

RFC 8418             Using X25519 and X448 with CMS          August 20181.1.  Terminology   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",   "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and   "OPTIONAL" in this document are to be interpreted as described inBCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all   capitals, as shown here.1.2.  ASN.1   CMS values are generated using ASN.1 [X680], which uses the Basic   Encoding Rules (BER) and the Distinguished Encoding Rules (DER)   [X690].2.  Key Agreement   In 1976, Diffie and Hellman described a means for two parties to   agree upon a shared secret value in a manner that prevents   eavesdroppers from learning the shared secret value [DH1976].  This   secret may then be converted into pairwise symmetric keying material   for use with other cryptographic algorithms.  Over the years, many   variants of this fundamental technique have been developed.  This   document describes the conventions for using Ephemeral-Static   Elliptic Curve Diffie-Hellman (ECDH) key agreement using X25519 and   X448 [CURVES].   The originator MUST use an ephemeral public/private key pair that is   generated on the same elliptic curve as the public key of the   recipient.  The ephemeral key pair MUST be used for a single CMS-   protected content type, and then it MUST be discarded.  The   originator obtains the recipient's static public key from the   recipient's certificate [PROFILE].   X25519 is described in Section 6.1 of [CURVES], and X448 is described   in Section 6.2 of [CURVES].  Conforming implementations MUST check   whether the computed Diffie-Hellman shared secret is the all-zero   value, and abort if so, as described in Section 6 of [CURVES].  If an   alternative implementation of these elliptic curves to that   documented in Section 6 of [CURVES] is employed, then the additional   checks specified in Section 7 of [CURVES] SHOULD be performed.   In [CURVES], the shared secret value that is produced by ECDH is   called K.  (In some other specifications, the shared secret value is   called Z.)  A Key Derivation Function (KDF) is used to produce a   pairwise key-encryption key (KEK) from the shared secret value (K),   the length of the KEK, and the DER-encoded ECC-CMS-SharedInfo   structure [CMSECC].Housley                      Standards Track                    [Page 3]

RFC 8418             Using X25519 and X448 with CMS          August 2018   The ECC-CMS-SharedInfo definition from [CMSECC] is repeated here for   convenience.      ECC-CMS-SharedInfo ::= SEQUENCE {        keyInfo         AlgorithmIdentifier,        entityUInfo [0] EXPLICIT OCTET STRING OPTIONAL,        suppPubInfo [2] EXPLICIT OCTET STRING  }   The ECC-CMS-SharedInfo keyInfo field contains the object identifier   of the key-encryption algorithm and associated parameters.  This   algorithm will be used to wrap the content-encryption key.  For   example, the AES Key Wrap algorithm [AESKW] does not need parameters,   so the algorithm identifier parameters are absent.   The ECC-CMS-SharedInfo entityUInfo field optionally contains   additional keying material supplied by the sending agent.  Note that   [CMS] requires implementations to accept a KeyAgreeRecipientInfo   SEQUENCE that includes the ukm field.  If the ukm field is present,   the ukm is placed in the entityUInfo field.  By including the ukm, a   different KEK is generated even when the originator ephemeral private   key is improperly used more than once.  Therefore, if the ukm field   is present, it MUST be selected in a manner that provides, with very   high probability, a unique value; however, there is no security   benefit to using a ukm value that is longer than the KEK that will be   produced by the KDF.   The ECC-CMS-SharedInfo suppPubInfo field contains the length of the   generated KEK, in bits, represented as a 32-bit number in network   byte order.  For example, the key length for AES-256 [AES] would be   0x00000100.2.1.  ANSI-X9.63-KDF   The ANSI-X9.63-KDF key derivation function is a simple construct   based on a one-way hash function described in American National   Standard X9.63 [X963].  This KDF is also described in Section 3.6.1   of [SEC1].   Three values are concatenated to produce the input string to the KDF:      1. The shared secret value generated by ECDH, K.      2. The iteration counter, starting with one, as described below.      3. The DER-encoded ECC-CMS-SharedInfo structure.   To generate a key-encryption key (KEK), the KDF generates one or more   keying material (KM) blocks, with the counter starting at 0x00000001,   and incrementing the counter for each subsequent KM block until   enough material has been generated.  The 32-bit counter isHousley                      Standards Track                    [Page 4]

RFC 8418             Using X25519 and X448 with CMS          August 2018   represented in network byte order.  The KM blocks are concatenated   left to right, and then the leftmost portion of the result is used as   the pairwise key-encryption key, KEK:      KM(i) = Hash(K || INT32(counter=i) || DER(ECC-CMS-SharedInfo))      KEK = KM(counter=1) || KM(counter=2) ...2.2.  HKDF   The Extract-and-Expand HMAC-based Key Derivation Function (HKDF) is a   robust construct based on a one-way hash function described inRFC5869 [HKDF].  HKDF is comprised of two steps: HKDF-Extract followed   by HKDF-Expand.   Three values are used as inputs to the HKDF:      1. The shared secret value generated by ECDH, K.      2. The length in octets of the keying data to be generated.      3. The DER-encoded ECC-CMS-SharedInfo structure.   The ECC-CMS-SharedInfo structure optionally includes the ukm.  If the   ukm is present, the ukm is also used as the HKDF salt.  HKDF uses an   appropriate number of zero octets when no salt is provided.   The length of the generated KEK is used in two places, once in bits   and once in octets.  The ECC-CMS-SharedInfo structure includes the   length of the generated KEK in bits.  The HKDF-Expand function takes   an argument for the length of the generated KEK in octets.   In summary, to produce the pairwise key-encryption key, KEK:      if ukm is provided, then salt = ukm, else salt is not provided      PRK = HKDF-Extract(salt, K)      KEK = HKDF-Expand(PRK, DER(ECC-CMS-SharedInfo), SizeInOctets(KEK))3. Enveloped-data Conventions   The CMS enveloped-data content type [CMS] consists of an encrypted   content and wrapped content-encryption keys for one or more   recipients.  The ECDH key agreement algorithm is used to generate a   pairwise KEK between the originator and a particular recipient.   Then, the KEK is used to wrap the content-encryption key for that   recipient.  When there is more than one recipient, the same content-   encryption key MUST be wrapped for each of them.Housley                      Standards Track                    [Page 5]

RFC 8418             Using X25519 and X448 with CMS          August 2018   A compliant implementation MUST meet the requirements for   constructing an enveloped-data content type in Section 6 of [CMS].   A content-encryption key MUST be randomly generated for each instance   of an enveloped-data content type.  The content-encryption key is   used to encrypt the content.3.1.  EnvelopedData Fields   The enveloped-data content type is ASN.1 encoded using the   EnvelopedData syntax.  The fields of the EnvelopedData syntax MUST be   populated as described in Section 6 of [CMS].  The RecipientInfo   choice is described in Section 6.2 of [CMS], and repeated here for   convenience.      RecipientInfo ::= CHOICE {        ktri KeyTransRecipientInfo,        kari [1] KeyAgreeRecipientInfo,        kekri [2] KEKRecipientInfo,        pwri [3] PasswordRecipientinfo,        ori [4] OtherRecipientInfo }   For the recipients that use X25519 or X448, the RecipientInfo kari   choice MUST be used.3.2.  KeyAgreeRecipientInfo Fields   The fields of the KeyAgreeRecipientInfo syntax MUST be populated as   described in this section when X25519 or X448 is employed for one or   more recipients.   The KeyAgreeRecipientInfo version MUST be 3.   The KeyAgreeRecipientInfo originator provides three alternatives for   identifying the originator's public key, and the originatorKey   alternative MUST be used.  The originatorKey MUST contain an   ephemeral key for the originator.  The originatorKey algorithm field   MUST contain the id-X25519 or the id-X448 object identifier.  The   originator's ephemeral public key MUST be encoded as an OCTET STRING.   The object identifiers for X25519 and X448 have been assigned in   [RFC8410].  They are repeated below for convenience.Housley                      Standards Track                    [Page 6]

RFC 8418             Using X25519 and X448 with CMS          August 2018   When using X25519, the public key contains exactly 32 octets, and the   id-X25519 object identifier is used:      id-X25519 OBJECT IDENTIFIER ::= { 1 3 101 110 }   When using X448, the public key contains exactly 56 octets, and the   id-X448 object identifier is used:      id-X448 OBJECT IDENTIFIER ::= { 1 3 101 111 }   KeyAgreeRecipientInfo ukm is optional.  The processing of the ukm   with the ANSI-X9.63-KDF key derivation function is described inSection 2.1, and the processing of the ukm with the HKDF key   derivation function is described inSection 2.2.   The KeyAgreeRecipientInfo keyEncryptionAlgorithm MUST contain the   object identifier of the key-encryption algorithm that will be used   to wrap the content-encryption key.  The conventions for using   AES-128, AES-192, and AES-256 in the key wrap mode are specified in   [CMSAES].   The KeyAgreeRecipientInfo recipientEncryptedKeys includes a recipient   identifier and encrypted key for one or more recipients.  The   RecipientEncryptedKey KeyAgreeRecipientIdentifier MUST contain either   the issuerAndSerialNumber identifying the recipient's certificate or   the RecipientKeyIdentifier containing the subject key identifier from   the recipient's certificate.  In both cases, the recipient's   certificate contains the recipient's static X25519 or X448 public   key.  The RecipientEncryptedKey EncryptedKey MUST contain the   content-encryption key encrypted with the pairwise key-encryption key   using the algorithm specified by the KeyWrapAlgorithm.4.  Authenticated-data Conventions   The CMS authenticated-data content type [CMS] consists of an   authenticated content, a message authentication code (MAC), and   encrypted authentication keys for one or more recipients.  The ECDH   key agreement algorithm is used to generate a pairwise KEK between   the originator and a particular recipient.  Then, the KEK is used to   wrap the authentication key for that recipient.  When there is more   than one recipient, the same authentication key MUST be wrapped for   each of them.   A compliant implementation MUST meet the requirements for   constructing an authenticated-data content type in Section 9 of   [CMS].Housley                      Standards Track                    [Page 7]

RFC 8418             Using X25519 and X448 with CMS          August 2018   An authentication key MUST be randomly generated for each instance of   an authenticated-data content type.  The authentication key is used   to compute the MAC over the content.4.1.  AuthenticatedData Fields   The authenticated-data content type is ASN.1 encoded using the   AuthenticatedData syntax.  The fields of the AuthenticatedData syntax   MUST be populated as described in [CMS]; for the recipients that use   X25519 or X448, the RecipientInfo kari choice MUST be used.4.2.  KeyAgreeRecipientInfo Fields   The fields of the KeyAgreeRecipientInfo syntax MUST be populated as   described inSection 3.2 of this document.5.  Authenticated-enveloped-data Conventions   The CMS authenticated-enveloped-data content type [AUTHENV] consists   of an authenticated and encrypted content and encrypted content-   authenticated-encryption keys for one or more recipients.  The ECDH   key agreement algorithm is used to generate a pairwise KEK between   the originator and a particular recipient.  Then, the KEK is used to   wrap the content-authenticated-encryption key for that recipient.   When there is more than one recipient, the same content-   authenticated-encryption key MUST be wrapped for each of them.   A compliant implementation MUST meet the requirements for   constructing an authenticated-data content type in Section 2 of   [AUTHENV].   A content-authenticated-encryption key MUST be randomly generated for   each instance of an authenticated-enveloped-data content type.  The   content-authenticated-encryption key is used to authenticate and   encrypt the content.5.1.  AuthEnvelopedData Fields   The authenticated-enveloped-data content type is ASN.1 encoded using   the AuthEnvelopedData syntax.  The fields of the AuthEnvelopedData   syntax MUST be populated as described in [AUTHENV]; for the   recipients that use X25519 or X448, the RecipientInfo kari choice   MUST be used.5.2.  KeyAgreeRecipientInfo Fields   The fields of the KeyAgreeRecipientInfo syntax MUST be populated as   described inSection 3.2 of this document.Housley                      Standards Track                    [Page 8]

RFC 8418             Using X25519 and X448 with CMS          August 20186.  Certificate ConventionsRFC 5280 [PROFILE] specifies the profile for using X.509 Certificates   in Internet applications.  A recipient static public key is needed   for X25519 or X448, and the originator obtains that public key from   the recipient's certificate.  The conventions for carrying X25519 and   X448 public keys are specified in [RFC8410].7.  Key Agreement Algorithm Identifiers   The following object identifiers are assigned in [CMSECC] to indicate   ECDH with ANSI-X9.63-KDF using various one-way hash functions.  These   are expected to be used as AlgorithmIdentifiers with a parameter that   specifies the key-encryption algorithm.  These are repeated here for   convenience.      secg-scheme OBJECT IDENTIFIER ::= {        iso(1) identified-organization(3) certicom(132) schemes(1) }      dhSinglePass-stdDH-sha256kdf-scheme OBJECT IDENTIFIER ::= {        secg-scheme 11 1 }      dhSinglePass-stdDH-sha384kdf-scheme OBJECT IDENTIFIER ::= {        secg-scheme 11 2 }      dhSinglePass-stdDH-sha512kdf-scheme OBJECT IDENTIFIER ::= {        secg-scheme 11 3 }   The following object identifiers are assigned to indicate ECDH with   HKDF using various one-way hash functions.  These are expected to be   used as AlgorithmIdentifiers with a parameter that specifies the   key-encryption algorithm.      smime-alg OBJECT IDENTIFIER ::= {         iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1)         pkcs-9(9) smime(16) alg(3) }      dhSinglePass-stdDH-hkdf-sha256-scheme OBJECT IDENTIFIER ::= {         smime-alg 19 }      dhSinglePass-stdDH-hkdf-sha384-scheme OBJECT IDENTIFIER ::= {         smime-alg 20 }      dhSinglePass-stdDH-hkdf-sha512-scheme OBJECT IDENTIFIER ::= {         smime-alg 21 }Housley                      Standards Track                    [Page 9]

RFC 8418             Using X25519 and X448 with CMS          August 20188.  SMIMECapabilities Attribute Conventions   A sending agent MAY announce to other agents that it supports ECDH   key agreement using the SMIMECapabilities signed attribute in a   signed message [SMIME] or a certificate [CERTCAP].  Following the   pattern established in [CMSECC], the SMIMECapabilities associated   with ECDH carries a DER-encoded object identifier that identifies   support for ECDH in conjunction with a particular KDF, and it   includes a parameter that names the key wrap algorithm.   The following SMIMECapabilities values (in hexadecimal) from [CMSECC]   might be of interest to implementations that support X25519 and X448:      ECDH with ANSI-X9.63-KDF using SHA-256; uses AES-128 key wrap:         30 15 06 06 2B 81 04 01 0B 01 30 0B 06 09 60 86 48 01 65 03 04         01 05      ECDH with ANSI-X9.63-KDF using SHA-384; uses AES-128 key wrap:         30 15 06 06 2B 81 04 01 0B 02 30 0B 06 09 60 86 48 01 65 03 04         01 05      ECDH with ANSI-X9.63-KDF using SHA-512; uses AES-128 key wrap:         30 15 06 06 2B 81 04 01 0B 03 30 0B 06 09 60 86 48 01 65 03 04         01 05      ECDH with ANSI-X9.63-KDF using SHA-256; uses AES-256 key wrap:         30 15 06 06 2B 81 04 01 0B 01 30 0B 06 09 60 86 48 01 65 03 04         01 2D      ECDH with ANSI-X9.63-KDF using SHA-384; uses AES-256 key wrap:         30 15 06 06 2B 81 04 01 0B 02 30 0B 06 09 60 86 48 01 65 03 04         01 2D      ECDH with ANSI-X9.63-KDF using SHA-512; uses AES-256 key wrap:         30 15 06 06 2B 81 04 01 0B 03 30 0B 06 09 60 86 48 01 65 03 04         01 2DHousley                      Standards Track                   [Page 10]

RFC 8418             Using X25519 and X448 with CMS          August 2018   The following SMIMECapabilities values (in hexadecimal) based on the   algorithm identifiers inSection 7 of this document might be of   interest to implementations that support X25519 and X448:      ECDH with HKDF using SHA-256; uses AES-128 key wrap:         30 1A 06 0B 2A 86 48 86 F7 0D 01 09 10 03 13 30 0B 06 09 60 86         48 01 65 03 04 01 05      ECDH with HKDF using SHA-384; uses AES-128 key wrap:         30 1A 06 0B 2A 86 48 86 F7 0D 01 09 10 03 14 30 0B 06 09 60 86         48 01 65 03 04 01 05      ECDH with HKDF using SHA-512; uses AES-128 key wrap:         30 1A 06 0B 2A 86 48 86 F7 0D 01 09 10 03 15 30 0B 06 09 60 86         48 01 65 03 04 01 05      ECDH with HKDF using SHA-256; uses AES-256 key wrap:         30 1A 06 0B 2A 86 48 86 F7 0D 01 09 10 03 13 30 0B 06 09 60 86         48 01 65 03 04 01 2D      ECDH with HKDF using SHA-384; uses AES-256 key wrap:         30 1A 06 0B 2A 86 48 86 F7 0D 01 09 10 03 14 30 0B 06 09 60 86         48 01 65 03 04 01 2D      ECDH with HKDF using SHA-512; uses AES-256 key wrap:         30 1A 06 0B 2A 86 48 86 F7 0D 01 09 10 03 15 30 0B 06 09 60 86         48 01 65 03 04 01 2D9.  Security Considerations   Please consult the security considerations of [CMS] for security   considerations related to the enveloped-data content type and the   authenticated-data content type.   Please consult the security considerations of [AUTHENV] for security   considerations related to the authenticated-enveloped-data content   type.   Please consult the security considerations of [CURVES] for security   considerations related to the use of X25519 and X448.   The originator uses an ephemeral public/private key pair that is   generated on the same elliptic curve as the public key of the   recipient.  The ephemeral key pair is used for a single CMS protected   content type, and then it is discarded.  If the originator wants to   be able to decrypt the content (for enveloped-data and authenticated-   enveloped-data) or check the authentication (for authenticated-data),   then the originator needs to treat themselves as a recipient.Housley                      Standards Track                   [Page 11]

RFC 8418             Using X25519 and X448 with CMS          August 2018   As specified in [CMS], implementations MUST support processing of the   KeyAgreeRecipientInfo ukm field; this ensures that interoperability   is not a concern whether the ukm is present or absent.  The ukm is   placed in the entityUInfo field of the ECC-CMS-SharedInfo structure.   When present, the ukm ensures that a different key-encryption key is   generated, even when the originator ephemeral private key is   improperly used more than once.10.  IANA Considerations   One object identifier for the ASN.1 module inAppendix A was assigned   in the "SMI Security for S/MIME Module Identifiers   (1.2.840.113549.1.9.16.0)" registry on [IANA-SMI]:      id-mod-cms-ecdh-alg-2017 OBJECT IDENTIFIER ::= {         iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1)         pkcs-9(9) smime(16) mod(0) 67 }   Three object identifiers for the Key Agreement Algorithm Identifiers   inSection 7 were assigned in the "SMI Security for S/MIME Algorithms   (1.2.840.113549.1.9.16.3)" registry on [IANA-SMI]:      smime-alg OBJECT IDENTIFIER ::= {         iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1)         pkcs-9(9) smime(16) alg(3) }      dhSinglePass-stdDH-hkdf-sha256-scheme OBJECT IDENTIFIER ::= {         smime-alg 19 }      dhSinglePass-stdDH-hkdf-sha384-scheme OBJECT IDENTIFIER ::= {         smime-alg 20 }      dhSinglePass-stdDH-hkdf-sha512-scheme OBJECT IDENTIFIER ::= {         smime-alg 21 }Housley                      Standards Track                   [Page 12]

RFC 8418             Using X25519 and X448 with CMS          August 201811. References11.1.  Normative References   [AUTHENV]  Housley, R., "Cryptographic Message Syntax (CMS)              Authenticated-Enveloped-Data Content Type",RFC 5083,              DOI 10.17487/RFC5083, November 2007,              <https://www.rfc-editor.org/info/rfc5083>.   [CERTCAP]  Santesson, S., "X.509 Certificate Extension for              Secure/Multipurpose Internet Mail Extensions (S/MIME)              Capabilities",RFC 4262, DOI 10.17487/RFC4262, December              2005, <https://www.rfc-editor.org/info/rfc4262>.   [CMS]      Housley, R., "Cryptographic Message Syntax (CMS)", STD 70,RFC 5652, DOI 10.17487/RFC5652, September 2009,              <https://www.rfc-editor.org/info/rfc5652>.   [CMSASN1]  Hoffman, P. and J. Schaad, "New ASN.1 Modules for              Cryptographic Message Syntax (CMS) and S/MIME",RFC 5911,              DOI 10.17487/RFC5911, June 2010,              <https://www.rfc-editor.org/info/rfc5911>.   [CMSECC]   Turner, S. and D. Brown, "Use of Elliptic Curve              Cryptography (ECC) Algorithms in Cryptographic Message              Syntax (CMS)",RFC 5753, DOI 10.17487/RFC5753, January              2010, <https://www.rfc-editor.org/info/rfc5753>.   [CURVES]   Langley, A., Hamburg, M., and S. Turner, "Elliptic Curves              for Security",RFC 7748, DOI 10.17487/RFC7748, January              2016, <https://www.rfc-editor.org/info/rfc7748>.   [HKDF]     Krawczyk, H. and P. Eronen, "HMAC-based Extract-and-Expand              Key Derivation Function (HKDF)",RFC 5869,              DOI 10.17487/RFC5869, May 2010,              <https://www.rfc-editor.org/info/rfc5869>.   [PROFILE]  Cooper, D., Santesson, S., Farrell, S., Boeyen, S.,              Housley, R., and W. Polk, "Internet X.509 Public Key              Infrastructure Certificate and Certificate Revocation List              (CRL) Profile",RFC 5280, DOI 10.17487/RFC5280, May 2008,              <https://www.rfc-editor.org/info/rfc5280>.   [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate              Requirement Levels",BCP 14,RFC 2119,              DOI 10.17487/RFC2119, March 1997,              <https://www.rfc-editor.org/info/rfc2119>.Housley                      Standards Track                   [Page 13]

RFC 8418             Using X25519 and X448 with CMS          August 2018   [RFC8174]  Leiba, B., "Ambiguity of Uppercase vs Lowercase inRFC2119 Key Words",BCP 14,RFC 8174, DOI 10.17487/RFC8174,              May 2017, <https://www.rfc-editor.org/info/rfc8174>.   [RFC8410]  Josefsson, S., and J. Schaad, "Algorithm Identifiers for              Ed25519,Ed448, Ed448ph, X25519, and X448 for Use in the              Internet X.509 Public Key Infrastructure",RFC 8410,              DOI 10.17487/RFC8410, August 2018,              <https://www.rfc-editor.org/info/rfc8410>.   [SEC1]     Standards for Efficient Cryptography, "SEC 1: Elliptic              Curve Cryptography", Cericom Research, version 2.0, May              2009, <http://www.secg.org/sec1-v2.pdf>.   [SMIME]    Ramsdell, B. and S. Turner, "Secure/Multipurpose Internet              Mail Extensions (S/MIME) Version 3.2 Message              Specification",RFC 5751, DOI 10.17487/RFC5751, January              2010, <https://www.rfc-editor.org/info/rfc5751>.   [X680]     ITU-T, "Information technology -- Abstract Syntax Notation              One (ASN.1): Specification of basic notation", ITU-T              Recommendation X.680, ISO/IEC 8824-1, August 2015,              <https://www.itu.int/rec/T-REC-X.680/en>.   [X690]     ITU-T, "Information technology -- ASN.1 encoding rules:              Specification of Basic Encoding Rules (BER), Canonical              Encoding Rules (CER) and Distinguished Encoding Rules              (DER)", ITU-T Recommendation X.690, ISO/IEC 8825-1, August              2015, <https://www.itu.int/rec/T-REC-X.690/en>.11.2.  Informative References   [AES]      National Institute of Standards and Technology, "Advanced              Encryption Standard (AES)", FIPS PUB 197, November 2001.   [AESKW]    Schaad, J. and R. Housley, "Advanced Encryption Standard              (AES) Key Wrap Algorithm",RFC 3394, DOI 10.17487/RFC3394,              September 2002, <https://www.rfc-editor.org/info/rfc3394>.   [CMSAES]   Schaad, J., "Use of the Advanced Encryption Standard (AES)              Encryption Algorithm in Cryptographic Message Syntax              (CMS)",RFC 3565, DOI 10.17487/RFC3565, July 2003,              <https://www.rfc-editor.org/info/rfc3565>.   [DH1976]   Diffie, W., and M. E. Hellman, "New Directions in              Cryptography", IEEE Trans. on Info. Theory, Vol. IT-22,              November 1976, pp. 644-654.Housley                      Standards Track                   [Page 14]

RFC 8418             Using X25519 and X448 with CMS          August 2018   [IANA-SMI] IANA, "Structure of Management Information (SMI) Numbers              (MIB Module Registrations)",              <https://www.iana.org/assignments/smi-numbers>.   [X963]     American National Standards Institute, "Public-Key              Cryptography for the Financial Services Industry: Key              Agreement and Key Transport Using Elliptic Curve              Cryptography", American National Standard X9.63-2001,              November 2001.Housley                      Standards Track                   [Page 15]

RFC 8418             Using X25519 and X448 with CMS          August 2018Appendix A.  ASN.1 Module   CMSECDHAlgs-2017     { iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1) pkcs-9(9)       smime(16) modules(0) id-mod-cms-ecdh-alg-2017(67) }   DEFINITIONS IMPLICIT TAGS ::=   BEGIN   -- EXPORTS ALL   IMPORTS     KeyWrapAlgorithm       FROM CryptographicMessageSyntaxAlgorithms-2009  -- in [CMSASN1]         { iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1)           pkcs-9(9) smime(16) modules(0) id-mod-cmsalg-2001-02(37) }     KEY-AGREE, SMIME-CAPS       FROM AlgorithmInformation-2009  -- in [CMSASN1]         { iso(1) identified-organization(3) dod(6) internet(1)           security(5) mechanisms(5) pkix(7) id-mod(0)           id-mod-algorithmInformation-02(58) }     dhSinglePass-stdDH-sha256kdf-scheme,     dhSinglePass-stdDH-sha384kdf-scheme,     dhSinglePass-stdDH-sha512kdf-scheme,     kaa-dhSinglePass-stdDH-sha256kdf-scheme,     kaa-dhSinglePass-stdDH-sha384kdf-scheme,     kaa-dhSinglePass-stdDH-sha512kdf-scheme,     cap-kaa-dhSinglePass-stdDH-sha256kdf-scheme,     cap-kaa-dhSinglePass-stdDH-sha384kdf-scheme,     cap-kaa-dhSinglePass-stdDH-sha512kdf-scheme       FROM CMSECCAlgs-2009-02  -- in [CMSECC]         { iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1)           pkcs-9(9) smime(16) modules(0)           id-mod-cms-ecc-alg-2009-02(46) }     ;Housley                      Standards Track                   [Page 16]

RFC 8418             Using X25519 and X448 with CMS          August 2018   --   -- Object Identifiers   --   smime-alg OBJECT IDENTIFIER ::= {      iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1)      pkcs-9(9) smime(16) alg(3) }   dhSinglePass-stdDH-hkdf-sha256-scheme OBJECT IDENTIFIER ::= {      smime-alg 19 }   dhSinglePass-stdDH-hkdf-sha384-scheme OBJECT IDENTIFIER ::= {      smime-alg 20 }   dhSinglePass-stdDH-hkdf-sha512-scheme OBJECT IDENTIFIER ::= {      smime-alg 21 }   --   -- Extend the Key Agreement Algorithms in [CMSECC]   --   KeyAgreementAlgs KEY-AGREE ::= { ...,     kaa-dhSinglePass-stdDH-sha256kdf-scheme   |     kaa-dhSinglePass-stdDH-sha384kdf-scheme   |     kaa-dhSinglePass-stdDH-sha512kdf-scheme   |     kaa-dhSinglePass-stdDH-hkdf-sha256-scheme |     kaa-dhSinglePass-stdDH-hkdf-sha384-scheme |     kaa-dhSinglePass-stdDH-hkdf-sha512-scheme }   kaa-dhSinglePass-stdDH-hkdf-sha256-scheme KEY-AGREE ::= {     IDENTIFIER dhSinglePass-stdDH-hkdf-sha256-scheme     PARAMS TYPE KeyWrapAlgorithm ARE required     UKM -- TYPE unencoded data -- ARE preferredPresent     SMIME-CAPS cap-kaa-dhSinglePass-stdDH-hkdf-sha256-scheme }   kaa-dhSinglePass-stdDH-hkdf-sha384-scheme KEY-AGREE ::= {     IDENTIFIER dhSinglePass-stdDH-hkdf-sha384-scheme     PARAMS TYPE KeyWrapAlgorithm ARE required     UKM -- TYPE unencoded data -- ARE preferredPresent     SMIME-CAPS cap-kaa-dhSinglePass-stdDH-hkdf-sha384-scheme }   kaa-dhSinglePass-stdDH-hkdf-sha512-scheme KEY-AGREE ::= {     IDENTIFIER dhSinglePass-stdDH-hkdf-sha512-scheme     PARAMS TYPE KeyWrapAlgorithm ARE required     UKM -- TYPE unencoded data -- ARE preferredPresent     SMIME-CAPS cap-kaa-dhSinglePass-stdDH-hkdf-sha512-scheme }Housley                      Standards Track                   [Page 17]

RFC 8418             Using X25519 and X448 with CMS          August 2018   --   -- Extend the S/MIME CAPS in [CMSECC]   --   SMimeCAPS SMIME-CAPS ::= { ...,     kaa-dhSinglePass-stdDH-sha256kdf-scheme.&smimeCaps   |     kaa-dhSinglePass-stdDH-sha384kdf-scheme.&smimeCaps   |     kaa-dhSinglePass-stdDH-sha512kdf-scheme.&smimeCaps   |     kaa-dhSinglePass-stdDH-hkdf-sha256-scheme.&smimeCaps |     kaa-dhSinglePass-stdDH-hkdf-sha384-scheme.&smimeCaps |     kaa-dhSinglePass-stdDH-hkdf-sha512-scheme.&smimeCaps }   cap-kaa-dhSinglePass-stdDH-hkdf-sha256-scheme SMIME-CAPS ::= {     TYPE KeyWrapAlgorithm     IDENTIFIED BY dhSinglePass-stdDH-hkdf-sha256-scheme }   cap-kaa-dhSinglePass-stdDH-hkdf-sha384-scheme SMIME-CAPS ::= {     TYPE KeyWrapAlgorithm     IDENTIFIED BY dhSinglePass-stdDH-hkdf-sha384-scheme}   cap-kaa-dhSinglePass-stdDH-hkdf-sha512-scheme SMIME-CAPS ::= {     TYPE KeyWrapAlgorithm     IDENTIFIED BY dhSinglePass-stdDH-hkdf-sha512-scheme }   ENDAcknowledgements   Many thanks to Roni Even, Daniel Migault, Eric Rescorla, Jim Schaad,   Stefan Santesson, and Sean Turner for their review and insightful   suggestions.Author's Address   Russ Housley   918 Spring Knoll Drive   Herndon, VA  20170   United States of America   Email: housley@vigilsec.comHousley                      Standards Track                   [Page 18]

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