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PROPOSED STANDARD
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Internet Engineering Task Force (IETF)                            Y. NirRequest for Comments: 8422                                   Check PointObsoletes:4492                                             S. JosefssonCategory: Standards Track                                         SJD ABISSN: 2070-1721                                      M. Pegourie-Gonnard                                                                     ARM                                                             August 2018Elliptic Curve Cryptography (ECC) Cipher Suitesfor Transport Layer Security (TLS) Versions 1.2 and EarlierAbstract   This document describes key exchange algorithms based on Elliptic   Curve Cryptography (ECC) for the Transport Layer Security (TLS)   protocol.  In particular, it specifies the use of Ephemeral Elliptic   Curve Diffie-Hellman (ECDHE) key agreement in a TLS handshake and the   use of the Elliptic Curve Digital Signature Algorithm (ECDSA) and   Edwards-curve Digital Signature Algorithm (EdDSA) as authentication   mechanisms.   This document obsoletesRFC 4492.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/rfc8422.Nir, et al.                  Standards Track                    [Page 1]

RFC 8422                ECC Cipher Suites for TLS            August 2018Copyright 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.Nir, et al.                  Standards Track                    [Page 2]

RFC 8422                ECC Cipher Suites for TLS            August 2018Table of Contents1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .41.1.  Conventions Used in This Document . . . . . . . . . . . .42.  Key Exchange Algorithm  . . . . . . . . . . . . . . . . . . .42.1.  ECDHE_ECDSA . . . . . . . . . . . . . . . . . . . . . . .62.2.  ECDHE_RSA . . . . . . . . . . . . . . . . . . . . . . . .72.3.  ECDH_anon . . . . . . . . . . . . . . . . . . . . . . . .72.4.  Algorithms in Certificate Chains  . . . . . . . . . . . .73.  Client Authentication . . . . . . . . . . . . . . . . . . . .83.1.  ECDSA_sign  . . . . . . . . . . . . . . . . . . . . . . .84.  TLS Extensions for ECC  . . . . . . . . . . . . . . . . . . .95.  Data Structures and Computations  . . . . . . . . . . . . . .105.1.  Client Hello Extensions . . . . . . . . . . . . . . . . .105.1.1.  Supported Elliptic Curves Extension . . . . . . . . .115.1.2.  Supported Point Formats Extension . . . . . . . . . .135.1.3.  The signature_algorithms Extension and EdDSA  . . . .135.2.  Server Hello Extension  . . . . . . . . . . . . . . . . .145.3.  Server Certificate  . . . . . . . . . . . . . . . . . . .155.4.  Server Key Exchange . . . . . . . . . . . . . . . . . . .165.4.1.  Uncompressed Point Format for NIST Curves . . . . . .195.5.  Certificate Request . . . . . . . . . . . . . . . . . . .205.6.  Client Certificate  . . . . . . . . . . . . . . . . . . .215.7.  Client Key Exchange . . . . . . . . . . . . . . . . . . .225.8.  Certificate Verify  . . . . . . . . . . . . . . . . . . .235.9.  Elliptic Curve Certificates . . . . . . . . . . . . . . .245.10. ECDH, ECDSA, and RSA Computations . . . . . . . . . . . .245.11. Public Key Validation . . . . . . . . . . . . . . . . . .266.  Cipher Suites . . . . . . . . . . . . . . . . . . . . . . . .267.  Implementation Status . . . . . . . . . . . . . . . . . . . .278.  Security Considerations . . . . . . . . . . . . . . . . . . .279.  IANA Considerations . . . . . . . . . . . . . . . . . . . . .2810. References  . . . . . . . . . . . . . . . . . . . . . . . . .2910.1.  Normative References . . . . . . . . . . . . . . . . . .2910.2.  Informative References . . . . . . . . . . . . . . . . .31Appendix A.  Equivalent Curves (Informative)  . . . . . . . . . .32Appendix B.  Differences fromRFC 4492  . . . . . . . . . . . . .33   Acknowledgements  . . . . . . . . . . . . . . . . . . . . . . . .34   Authors' Addresses  . . . . . . . . . . . . . . . . . . . . . . .34Nir, et al.                  Standards Track                    [Page 3]

RFC 8422                ECC Cipher Suites for TLS            August 20181.  Introduction   This document describes additions to TLS to support ECC that are   applicable to TLS versions 1.0 [RFC2246], 1.1 [RFC4346], and 1.2   [RFC5246].  The use of ECC in TLS 1.3 is defined in [TLS1.3] and is   explicitly out of scope for this document.  In particular, this   document defines:   o  the use of the ECDHE key agreement scheme with ephemeral keys to      establish the TLS premaster secret, and   o  the use of ECDSA and EdDSA signatures for authentication of TLS      peers.   The remainder of this document is organized as follows.Section 2   provides an overview of ECC-based key exchange algorithms for TLS.Section 3 describes the use of ECC certificates for client   authentication.  TLS extensions that allow a client to negotiate the   use of specific curves and point formats are presented inSection 4.Section 5 specifies various data structures needed for an ECC-based   handshake, their encoding in TLS messages, and the processing of   those messages.Section 6 defines ECC-based cipher suites and   identifies a small subset of these as recommended for all   implementations of this specification.Section 8 discusses security   considerations.Section 9 describes IANA considerations for the name   spaces created by this document's predecessor.Appendix B provides   differences from [RFC4492], the document that this one replaces.   Implementation of this specification requires familiarity with TLS,   TLS extensions [RFC4366], and ECC.1.1.  Conventions Used in This Document   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.2.  Key Exchange Algorithm   This document defines three new ECC-based key exchange algorithms for   TLS.  All of them use Ephemeral ECDH (ECDHE) to compute the TLS   premaster secret, and they differ only in the mechanism (if any) used   to authenticate them.  The derivation of the TLS master secret from   the premaster secret and the subsequent generation of bulk   encryption/MAC keys and initialization vectors is independent of the   key exchange algorithm and not impacted by the introduction of ECC.Nir, et al.                  Standards Track                    [Page 4]

RFC 8422                ECC Cipher Suites for TLS            August 2018   Table 1 summarizes the new key exchange algorithms.  All of these key   exchange algorithms provide forward secrecy if and only if fresh   ephemeral keys are generated and used, and also destroyed after use.     +-------------+------------------------------------------------+     | Algorithm   | Description                                    |     +-------------+------------------------------------------------+     | ECDHE_ECDSA | Ephemeral ECDH with ECDSA or EdDSA signatures. |     | ECDHE_RSA   | Ephemeral ECDH with RSA signatures.            |     | ECDH_anon   | Anonymous ephemeral ECDH, no signatures.       |     +-------------+------------------------------------------------+                   Table 1: ECC Key Exchange Algorithms   These key exchanges are analogous to DHE_DSS, DHE_RSA, and DH_anon,   respectively.   With ECDHE_RSA, a server can reuse its existing RSA certificate and   easily comply with a constrained client's elliptic curve preferences   (seeSection 4).  However, the computational cost incurred by a   server is higher for ECDHE_RSA than for the traditional RSA key   exchange, which does not provide forward secrecy.   The anonymous key exchange algorithm does not provide authentication   of the server or the client.  Like other anonymous TLS key exchanges,   it is subject to man-in-the-middle attacks.  Applications using TLS   with this algorithm SHOULD provide authentication by other means.Nir, et al.                  Standards Track                    [Page 5]

RFC 8422                ECC Cipher Suites for TLS            August 2018          Client                                        Server          ------                                        ------          ClientHello          -------->                                                   ServerHello                                                  Certificate*                                            ServerKeyExchange*                                          CertificateRequest*+                               <--------       ServerHelloDone          Certificate*+          ClientKeyExchange          CertificateVerify*+          [ChangeCipherSpec]          Finished             -------->                                            [ChangeCipherSpec]                               <--------              Finished          Application Data     <------->      Application Data               * message is not sent under some conditions               + message is not sent unless client authentication                 is desired            Figure 1: Message Flow in a Full TLS 1.2 Handshake   Figure 1 shows all messages involved in the TLS key establishment   protocol (aka full handshake).  The addition of ECC has direct impact   only on the ClientHello, the ServerHello, the server's Certificate   message, the ServerKeyExchange, the ClientKeyExchange, the   CertificateRequest, the client's Certificate message, and the   CertificateVerify.  Next, we describe the ECC key exchange algorithm   in greater detail in terms of the content and processing of these   messages.  For ease of exposition, we defer discussion of client   authentication and associated messages (identified with a '+' in   Figure 1) untilSection 3 and of the optional ECC-specific extensions   (which impact the Hello messages) untilSection 4.2.1.  ECDHE_ECDSA   In ECDHE_ECDSA, the server's certificate MUST contain an ECDSA- or   EdDSA-capable public key.   The server sends its ephemeral ECDH public key and a specification of   the corresponding curve in the ServerKeyExchange message.  These   parameters MUST be signed with ECDSA or EdDSA using the private key   corresponding to the public key in the server's Certificate.   The client generates an ECDH key pair on the same curve as the   server's ephemeral ECDH key and sends its public key in the   ClientKeyExchange message.Nir, et al.                  Standards Track                    [Page 6]

RFC 8422                ECC Cipher Suites for TLS            August 2018   Both client and server perform an ECDH operation (seeSection 5.10)   and use the resultant shared secret as the premaster secret.2.2.  ECDHE_RSA   This key exchange algorithm is the same as ECDHE_ECDSA except that   the server's certificate MUST contain an RSA public key authorized   for signing and the signature in the ServerKeyExchange message must   be computed with the corresponding RSA private key.2.3.  ECDH_anon   NOTE: Despite the name beginning with "ECDH_" (no E), the key used in   ECDH_anon is ephemeral just like the key in ECDHE_RSA and   ECDHE_ECDSA.  The naming follows the example of DH_anon, where the   key is also ephemeral but the name does not reflect it.   In ECDH_anon, the server's Certificate, the CertificateRequest, the   client's Certificate, and the CertificateVerify messages MUST NOT be   sent.   The server MUST send an ephemeral ECDH public key and a specification   of the corresponding curve in the ServerKeyExchange message.  These   parameters MUST NOT be signed.   The client generates an ECDH key pair on the same curve as the   server's ephemeral ECDH key and sends its public key in the   ClientKeyExchange message.   Both client and server perform an ECDH operation and use the   resultant shared secret as the premaster secret.  All ECDH   calculations are performed as specified inSection 5.10.2.4.  Algorithms in Certificate Chains   This specification does not impose restrictions on signature schemes   used anywhere in the certificate chain.  The previous version of this   document required the signatures to match, but this restriction,   originating in previous TLS versions, is lifted here as it had been   inRFC 5246.Nir, et al.                  Standards Track                    [Page 7]

RFC 8422                ECC Cipher Suites for TLS            August 20183.  Client Authentication   This document defines a client authentication mechanism named after   the type of client certificate involved: ECDSA_sign.  The ECDSA_sign   mechanism is usable with any of the non-anonymous ECC key exchange   algorithms described inSection 2 as well as other non-anonymous   (non-ECC) key exchange algorithms defined in TLS.   Note that client certificates with EdDSA public keys also use this   mechanism.   The server can request ECC-based client authentication by including   this certificate type in its CertificateRequest message.  The client   must check if it possesses a certificate appropriate for the method   suggested by the server and is willing to use it for authentication.   If these conditions are not met, the client SHOULD send a client   Certificate message containing no certificates.  In this case, the   ClientKeyExchange MUST be sent as described inSection 2, and the   CertificateVerify MUST NOT be sent.  If the server requires client   authentication, it may respond with a fatal handshake failure alert.   If the client has an appropriate certificate and is willing to use it   for authentication, it must send that certificate in the client's   Certificate message (as perSection 5.6) and prove possession of the   private key corresponding to the certified key.  The process of   determining an appropriate certificate and proving possession is   different for each authentication mechanism and is described below.   NOTE: It is permissible for a server to request (and the client to   send) a client certificate of a different type than the server   certificate.3.1.  ECDSA_sign   To use this authentication mechanism, the client MUST possess a   certificate containing an ECDSA- or EdDSA-capable public key.   The client proves possession of the private key corresponding to the   certified key by including a signature in the CertificateVerify   message as described inSection 5.8.Nir, et al.                  Standards Track                    [Page 8]

RFC 8422                ECC Cipher Suites for TLS            August 20184.  TLS Extensions for ECC   Two TLS extensions are defined in this specification: (i) the   Supported Elliptic Curves Extension and (ii) the Supported Point   Formats Extension.  These allow negotiating the use of specific   curves and point formats (e.g., compressed vs. uncompressed,   respectively) during a handshake starting a new session.  These   extensions are especially relevant for constrained clients that may   only support a limited number of curves or point formats.  They   follow the general approach outlined in [RFC4366]; message details   are specified inSection 5.  The client enumerates the curves it   supports and the point formats it can parse by including the   appropriate extensions in its ClientHello message.  The server   similarly enumerates the point formats it can parse by including an   extension in its ServerHello message.   A TLS client that proposes ECC cipher suites in its ClientHello   message SHOULD include these extensions.  Servers implementing ECC   cipher suites MUST support these extensions, and when a client uses   these extensions, servers MUST NOT negotiate the use of an ECC cipher   suite unless they can complete the handshake while respecting the   choice of curves specified by the client.  This eliminates the   possibility that a negotiated ECC handshake will be subsequently   aborted due to a client's inability to deal with the server's EC key.   The client MUST NOT include these extensions in the ClientHello   message if it does not propose any ECC cipher suites.  A client that   proposes ECC cipher suites may choose not to include these   extensions.  In this case, the server is free to choose any one of   the elliptic curves or point formats listed inSection 5.  That   section also describes the structure and processing of these   extensions in greater detail.   In the case of session resumption, the server simply ignores the   Supported Elliptic Curves Extension and the Supported Point Formats   Extension appearing in the current ClientHello message.  These   extensions only play a role during handshakes negotiating a new   session.Nir, et al.                  Standards Track                    [Page 9]

RFC 8422                ECC Cipher Suites for TLS            August 20185.  Data Structures and Computations   This section specifies the data structures and computations used by   ECC-based key mechanisms specified in the previous three sections.   The presentation language used here is the same as that used in TLS.   Since this specification extends TLS, these descriptions should be   merged with those in the TLS specification and any others that extend   TLS.  This means that enum types may not specify all possible values,   and structures with multiple formats chosen with a select() clause   may not indicate all possible cases.5.1.  Client Hello Extensions   This section specifies two TLS extensions that can be included with   the ClientHello message as described in [RFC4366]: the Supported   Elliptic Curves Extension and the Supported Point Formats Extension.   When these extensions are sent:   The extensions SHOULD be sent along with any ClientHello message that   proposes ECC cipher suites.   Meaning of these extensions:   These extensions allow a client to enumerate the elliptic curves it   supports and/or the point formats it can parse.   Structure of these extensions:   The general structure of TLS extensions is described in [RFC4366],   and this specification adds two types to ExtensionType.      enum {          elliptic_curves(10),          ec_point_formats(11)      } ExtensionType;   o  elliptic_curves (Supported Elliptic Curves Extension): Indicates      the set of elliptic curves supported by the client.  For this      extension, the opaque extension_data field contains      NamedCurveList.  SeeSection 5.1.1 for details.   o  ec_point_formats (Supported Point Formats Extension): Indicates      the set of point formats that the client can parse.  For this      extension, the opaque extension_data field contains      ECPointFormatList.  SeeSection 5.1.2 for details.Nir, et al.                  Standards Track                   [Page 10]

RFC 8422                ECC Cipher Suites for TLS            August 2018   Actions of the sender:   A client that proposes ECC cipher suites in its ClientHello message   appends these extensions (along with any others), enumerating the   curves it supports and the point formats it can parse.  Clients   SHOULD send both the Supported Elliptic Curves Extension and the   Supported Point Formats Extension.  If the Supported Point Formats   Extension is indeed sent, it MUST contain the value 0 (uncompressed)   as one of the items in the list of point formats.   Actions of the receiver:   A server that receives a ClientHello containing one or both of these   extensions MUST use the client's enumerated capabilities to guide its   selection of an appropriate cipher suite.  One of the proposed ECC   cipher suites must be negotiated only if the server can successfully   complete the handshake while using the curves and point formats   supported by the client (cf. Sections5.3 and5.4).   NOTE: A server participating in an ECDHE_ECDSA key exchange may use   different curves for the ECDSA or EdDSA key in its certificate and   for the ephemeral ECDH key in the ServerKeyExchange message.  The   server MUST consider the extensions in both cases.   If a server does not understand the Supported Elliptic Curves   Extension, does not understand the Supported Point Formats Extension,   or is unable to complete the ECC handshake while restricting itself   to the enumerated curves and point formats, it MUST NOT negotiate the   use of an ECC cipher suite.  Depending on what other cipher suites   are proposed by the client and supported by the server, this may   result in a fatal handshake failure alert due to the lack of common   cipher suites.5.1.1.  Supported Elliptic Curves ExtensionRFC 4492 defined 25 different curves in the NamedCurve registry (now   renamed the "TLS Supported Groups" registry, although the enumeration   below is still named NamedCurve) for use in TLS.  Only three have   seen much use.  This specification is deprecating the rest (with   numbers 1-22).  This specification also deprecates the explicitNir, et al.                  Standards Track                   [Page 11]

RFC 8422                ECC Cipher Suites for TLS            August 2018   curves with identifiers 0xFF01 and 0xFF02.  It also adds the new   curves defined in [RFC7748].  The end result is as follows:           enum {               deprecated(1..22),               secp256r1 (23), secp384r1 (24), secp521r1 (25),               x25519(29), x448(30),               reserved (0xFE00..0xFEFF),               deprecated(0xFF01..0xFF02),               (0xFFFF)           } NamedCurve;   Note that other specifications have since added other values to this   enumeration.  Some of those values are not curves at all, but finite   field groups.  See [RFC7919].   secp256r1, etc: Indicates support of the corresponding named curve or   groups.  The named curves secp256r1, secp384r1, and secp521r1 are   specified in SEC 2 [SECG-SEC2].  These curves are also recommended in   ANSI X9.62 [ANSI.X9-62.2005] and FIPS 186-4 [FIPS.186-4].  The rest   of this document refers to these three curves as the "NIST curves"   because they were originally standardized by the National Institute   of Standards and Technology.  The curves x25519 and x448 are defined   in [RFC7748].  Values 0xFE00 through 0xFEFF are reserved for private   use.   The predecessor of this document also supported explicitly defined   prime and char2 curves, but these are deprecated by this   specification.   The NamedCurve name space (now titled "TLS Supported Groups") is   maintained by IANA.  SeeSection 9 for information on how new value   assignments are added.           struct {               NamedCurve named_curve_list<2..2^16-1>           } NamedCurveList;   Items in named_curve_list are ordered according to the client's   preferences (favorite choice first).   As an example, a client that only supports secp256r1 (aka NIST P-256;   value 23 = 0x0017) and secp384r1 (aka NIST P-384; value 24 = 0x0018)   and prefers to use secp256r1 would include a TLS extension consisting   of the following octets.  Note that the first two octets indicate the   extension type (Supported Elliptic Curves Extension):           00 0A 00 06 00 04 00 17 00 18Nir, et al.                  Standards Track                   [Page 12]

RFC 8422                ECC Cipher Suites for TLS            August 20185.1.2.  Supported Point Formats Extension           enum {               uncompressed (0),               deprecated (1..2),               reserved (248..255)           } ECPointFormat;           struct {               ECPointFormat ec_point_format_list<1..2^8-1>           } ECPointFormatList;   Three point formats were included in the definition of ECPointFormat   above.  This specification deprecates all but the uncompressed point   format.  Implementations of this document MUST support the   uncompressed format for all of their supported curves and MUST NOT   support other formats for curves defined in this specification.  For   backwards compatibility purposes, the point format list extension MAY   still be included and contain exactly one value: the uncompressed   point format (0).RFC 4492 specified that if this extension is   missing, it means that only the uncompressed point format is   supported, so interoperability with implementations that support the   uncompressed format should work with or without the extension.   If the client sends the extension and the extension does not contain   the uncompressed point format, and the client has used the Supported   Groups extension to indicate support for any of the curves defined in   this specification, then the server MUST abort the handshake and   return an illegal_parameter alert.   The ECPointFormat name space (now titled "TLS EC Point Formats") is   maintained by IANA.  SeeSection 9 for information on how new value   assignments are added.   A client compliant with this specification that supports no other   curves MUST send the following octets; note that the first two octets   indicate the extension type (Supported Point Formats Extension):           00 0B 00 02 01 005.1.3.  The signature_algorithms Extension and EdDSA   The signature_algorithms extension, defined inSection 7.4.1.4.1 of   [RFC5246], advertises the combinations of signature algorithm and   hash function that the client supports.  The pure (non-prehashed)   forms of EdDSA do not hash the data before signing it.  For this   reason, it does not make sense to combine them with a hash function   in the extension.Nir, et al.                  Standards Track                   [Page 13]

RFC 8422                ECC Cipher Suites for TLS            August 2018   For bits-on-the-wire compatibility with TLS 1.3, we define a new   dummy value in the "TLS HashAlgorithm" registry that we call   "Intrinsic" (value 8), meaning that hashing is intrinsic to the   signature algorithm.   To represent ed25519 and ed448 in the signature_algorithms extension,   the value shall be (8,7) and (8,8), respectively.5.2.  Server Hello Extension   This section specifies a TLS extension that can be included with the   ServerHello message as described in [RFC4366], the Supported Point   Formats Extension.   When this extension is sent:   The Supported Point Formats Extension is included in a ServerHello   message in response to a ClientHello message containing the Supported   Point Formats Extension when negotiating an ECC cipher suite.   Meaning of this extension:   This extension allows a server to enumerate the point formats it can   parse (for the curve that will appear in its ServerKeyExchange   message when using the ECDHE_ECDSA, ECDHE_RSA, or ECDH_anon key   exchange algorithm.   Structure of this extension:   The server's Supported Point Formats Extension has the same structure   as the client's Supported Point Formats Extension (seeSection 5.1.2).  Items in ec_point_format_list here are ordered   according to the server's preference (favorite choice first).  Note   that the server MAY include items that were not found in the client's   list.  However, without extensions, this specification allows exactly   one point format, so there is not really any opportunity for   mismatches.   Actions of the sender:   A server that selects an ECC cipher suite in response to a   ClientHello message including a Supported Point Formats Extension   appends this extension (along with others) to its ServerHello   message, enumerating the point formats it can parse.  The Supported   Point Formats Extension, when used, MUST contain the value 0   (uncompressed) as one of the items in the list of point formats.Nir, et al.                  Standards Track                   [Page 14]

RFC 8422                ECC Cipher Suites for TLS            August 2018   Actions of the receiver:   A client that receives a ServerHello message containing a Supported   Point Formats Extension MUST respect the server's choice of point   formats during the handshake (cf.  Sections5.6 and5.7).  If no   Supported Point Formats Extension is received with the ServerHello,   this is equivalent to an extension allowing only the uncompressed   point format.5.3.  Server Certificate   When this message is sent:   This message is sent in all non-anonymous, ECC-based key exchange   algorithms.   Meaning of this message:   This message is used to authentically convey the server's static   public key to the client.  The following table shows the server   certificate type appropriate for each key exchange algorithm.  ECC   public keys MUST be encoded in certificates as described inSection 5.9.   NOTE: The server's Certificate message is capable of carrying a chain   of certificates.  The restrictions mentioned in Table 2 apply only to   the server's certificate (first in the chain).   +-------------+-----------------------------------------------------+   | Algorithm   | Server Certificate Type                             |   +-------------+-----------------------------------------------------+   | ECDHE_ECDSA | Certificate MUST contain an ECDSA- or EdDSA-capable |   |             | public key.                                         |   | ECDHE_RSA   | Certificate MUST contain an RSA public key.         |   +-------------+-----------------------------------------------------+                     Table 2: Server Certificate Types   Structure of this message:   Identical to the TLS Certificate format.   Actions of the sender:   The server constructs an appropriate certificate chain and conveys it   to the client in the Certificate message.  If the client has used a   Supported Elliptic Curves Extension, the public key in the server'sNir, et al.                  Standards Track                   [Page 15]

RFC 8422                ECC Cipher Suites for TLS            August 2018   certificate MUST respect the client's choice of elliptic curves.  A   server that cannot satisfy this requirement MUST NOT choose an ECC   cipher suite in its ServerHello message.)   Actions of the receiver:   The client validates the certificate chain, extracts the server's   public key, and checks that the key type is appropriate for the   negotiated key exchange algorithm.  (A possible reason for a fatal   handshake failure is that the client's capabilities for handling   elliptic curves and point formats are exceeded; cf.Section 5.1.)5.4.  Server Key Exchange   When this message is sent:   This message is sent when using the ECDHE_ECDSA, ECDHE_RSA, and   ECDH_anon key exchange algorithms.   Meaning of this message:   This message is used to convey the server's ephemeral ECDH public key   (and the corresponding elliptic curve domain parameters) to the   client.   The ECCurveType enum used to have values for explicit prime and for   explicit char2 curves.  Those values are now deprecated, so only one   value remains:   Structure of this message:           enum {               deprecated (1..2),               named_curve (3),               reserved(248..255)           } ECCurveType;   The value named_curve indicates that a named curve is used.  This   option is now the only remaining format.   Values 248 through 255 are reserved for private use.   The ECCurveType name space (now titled "TLS EC Curve Types") is   maintained by IANA.  SeeSection 9 for information on how new value   assignments are added.Nir, et al.                  Standards Track                   [Page 16]

RFC 8422                ECC Cipher Suites for TLS            August 2018RFC 4492 had a specification for an ECCurve structure and an   ECBasisType structure.  Both of these are omitted now because they   were only used with the now deprecated explicit curves.           struct {               opaque point <1..2^8-1>;           } ECPoint;   point: This is the byte string representation of an elliptic curve   point following the conversion routine in Section 4.3.6 of   [ANSI.X9-62.2005].  This byte string may represent an elliptic curve   point in uncompressed, compressed, or hybrid format, but this   specification deprecates all but the uncompressed format.  For the   NIST curves, the format is repeated inSection 5.4.1 for convenience.   For the X25519 and X448 curves, the only valid representation is the   one specified in [RFC7748], a 32- or 56-octet representation of the u   value of the point.  This structure MUST NOT be used with Ed25519 and   Ed448 public keys.           struct {               ECCurveType    curve_type;               select (curve_type) {                   case named_curve:                       NamedCurve namedcurve;               };           } ECParameters;   curve_type: This identifies the type of the elliptic curve domain   parameters.   namedCurve: Specifies a recommended set of elliptic curve domain   parameters.  All those values of NamedCurve are allowed that refer to   a curve capable of Diffie-Hellman.  With the deprecation of the   explicit curves, this now includes all of the NamedCurve values.           struct {               ECParameters    curve_params;               ECPoint         public;           } ServerECDHParams;   curve_params: Specifies the elliptic curve domain parameters   associated with the ECDH public key.   public: The ephemeral ECDH public key.Nir, et al.                  Standards Track                   [Page 17]

RFC 8422                ECC Cipher Suites for TLS            August 2018   The ServerKeyExchange message is extended as follows.           enum {               ec_diffie_hellman           } KeyExchangeAlgorithm;   o  ec_diffie_hellman: Indicates the ServerKeyExchange message      contains an ECDH public key.      select (KeyExchangeAlgorithm) {          case ec_diffie_hellman:              ServerECDHParams    params;              Signature           signed_params;      } ServerKeyExchange;   o  params: Specifies the ECDH public key and associated domain      parameters.   o  signed_params: A hash of the params, with the signature      appropriate to that hash applied.  The private key corresponding      to the certified public key in the server's Certificate message is      used for signing.        enum {            ecdsa(3),            ed25519(7)            ed448(8)        } SignatureAlgorithm;        select (SignatureAlgorithm) {           case ecdsa:                digitally-signed struct {                    opaque sha_hash[sha_size];                };           case ed25519,ed448:                digitally-signed struct {                    opaque rawdata[rawdata_size];                };        } Signature;      ServerKeyExchange.signed_params.sha_hash          SHA(ClientHello.random + ServerHello.random +                                 ServerKeyExchange.params);      ServerKeyExchange.signed_params.rawdata          ClientHello.random + ServerHello.random +                                 ServerKeyExchange.params;   NOTE: SignatureAlgorithm is "rsa" for the ECDHE_RSA key exchange   algorithm and "anonymous" for ECDH_anon.  These cases are defined in   TLS.  SignatureAlgorithm is "ecdsa" or "eddsa" for ECDHE_ECDSA.Nir, et al.                  Standards Track                   [Page 18]

RFC 8422                ECC Cipher Suites for TLS            August 2018   ECDSA signatures are generated and verified as described inSection 5.10.  SHA, in the above template for sha_hash, may denote a   hash algorithm other than SHA-1.  As per ANSI X9.62, an ECDSA   signature consists of a pair of integers, r and s.  The digitally-   signed element is encoded as an opaque vector <0..2^16-1>, the   contents of which are the DER encoding corresponding to the following   ASN.1 notation.              Ecdsa-Sig-Value ::= SEQUENCE {                  r       INTEGER,                  s       INTEGER              }   EdDSA signatures in both the protocol and in certificates that   conform to [RFC8410] are generated and verified according to   [RFC8032].  The digitally-signed element is encoded as an opaque   vector <0..2^16-1>, the contents of which include the octet string   output of the EdDSA signing algorithm.   Actions of the sender:   The server selects elliptic curve domain parameters and an ephemeral   ECDH public key corresponding to these parameters according to the   ECKAS-DH1 scheme from IEEE 1363 [IEEE.P1363].  It conveys this   information to the client in the ServerKeyExchange message using the   format defined above.   Actions of the receiver:   The client verifies the signature (when present) and retrieves the   server's elliptic curve domain parameters and ephemeral ECDH public   key from the ServerKeyExchange message.  (A possible reason for a   fatal handshake failure is that the client's capabilities for   handling elliptic curves and point formats are exceeded; cf.Section 5.1.)5.4.1.  Uncompressed Point Format for NIST Curves   The following represents the wire format for representing ECPoint in   ServerKeyExchange records.  The first octet of the representation   indicates the form, which may be compressed, uncompressed, or hybrid.   This specification supports only the uncompressed format for these   curves.  This is followed by the binary representation of the X value   in "big-endian" or "network" format, followed by the binary   representation of the Y value in "big-endian" or "network" format.   There are no internal length markers, so each number representation   occupies as many octets as implied by the curve parameters.  ForNir, et al.                  Standards Track                   [Page 19]

RFC 8422                ECC Cipher Suites for TLS            August 2018   P-256 this means that each of X and Y use 32 octets, padded on the   left by zeros if necessary.  For P-384, they take 48 octets each, and   for P-521, they take 66 octets each.   Here's a more formal representation:             enum {                 uncompressed(4),                 (255)               } PointConversionForm;             struct {                 PointConversionForm  form;                 opaque               X[coordinate_length];                 opaque               Y[coordinate_length];             } UncompressedPointRepresentation;5.5.  Certificate Request   When this message is sent:   This message is sent when requesting client authentication.   Meaning of this message:   The server uses this message to suggest acceptable client   authentication methods.   Structure of this message:   The TLS CertificateRequest message is extended as follows.           enum {               ecdsa_sign(64),               deprecated1(65),  /* was rsa_fixed_ecdh */               deprecated2(66),  /* was ecdsa_fixed_ecdh */               (255)           } ClientCertificateType;   o  ecdsa_sign: Indicates that the server would like to use the      corresponding client authentication method specified inSection 3.   Note thatRFC 4492 also defined RSA and ECDSA certificates that   included a fixed ECDH public key.  These mechanisms saw very little   implementation, so this specification is deprecating them.Nir, et al.                  Standards Track                   [Page 20]

RFC 8422                ECC Cipher Suites for TLS            August 2018   Actions of the sender:   The server decides which client authentication methods it would like   to use and conveys this information to the client using the format   defined above.   Actions of the receiver:   The client determines whether it has a suitable certificate for use   with any of the requested methods and whether to proceed with client   authentication.5.6.  Client Certificate   When this message is sent:   This message is sent in response to a CertificateRequest when a   client has a suitable certificate and has decided to proceed with   client authentication.  (Note that if the server has used a Supported   Point Formats Extension, a certificate can only be considered   suitable for use with the ECDSA_sign authentication method if the   public key point specified in it is uncompressed, as that is the only   point format still supported.   Meaning of this message:   This message is used to authentically convey the client's static   public key to the server.  ECC public keys must be encoded in   certificates as described inSection 5.9.  The certificate MUST   contain an ECDSA- or EdDSA-capable public key.   NOTE: The client's Certificate message is capable of carrying a chain   of certificates.  The restrictions mentioned above apply only to the   client's certificate (first in the chain).   Structure of this message:   Identical to the TLS client Certificate format.   Actions of the sender:   The client constructs an appropriate certificate chain and conveys it   to the server in the Certificate message.Nir, et al.                  Standards Track                   [Page 21]

RFC 8422                ECC Cipher Suites for TLS            August 2018   Actions of the receiver:   The TLS server validates the certificate chain, extracts the client's   public key, and checks that the key type is appropriate for the   client authentication method.5.7.  Client Key Exchange   When this message is sent:   This message is sent in all key exchange algorithms.  It contains the   client's ephemeral ECDH public key.   Meaning of the message:   This message is used to convey ephemeral data relating to the key   exchange belonging to the client (such as its ephemeral ECDH public   key).   Structure of this message:   The TLS ClientKeyExchange message is extended as follows.           enum {               implicit,               explicit           } PublicValueEncoding;   o  implicit, explicit: For ECC cipher suites, this indicates whether      the client's ECDH public key is in the client's certificate      ("implicit") or is provided, as an ephemeral ECDH public key, in      the ClientKeyExchange message ("explicit").  The implicit encoding      is deprecated and is retained here for backward compatibility      only.           struct {               ECPoint ecdh_Yc;           } ClientECDiffieHellmanPublic;   ecdh_Yc: Contains the client's ephemeral ECDH public key as a byte   string ECPoint.point, which may represent an elliptic curve point in   uncompressed format.           struct {               select (KeyExchangeAlgorithm) {                   case ec_diffie_hellman: ClientECDiffieHellmanPublic;               } exchange_keys;           } ClientKeyExchange;Nir, et al.                  Standards Track                   [Page 22]

RFC 8422                ECC Cipher Suites for TLS            August 2018   Actions of the sender:   The client selects an ephemeral ECDH public key corresponding to the   parameters it received from the server.  The format is the same as inSection 5.4.   Actions of the receiver:   The server retrieves the client's ephemeral ECDH public key from the   ClientKeyExchange message and checks that it is on the same elliptic   curve as the server's ECDH key.5.8.  Certificate Verify   When this message is sent:   This message is sent when the client sends a client certificate   containing a public key usable for digital signatures.   Meaning of the message:   This message contains a signature that proves possession of the   private key corresponding to the public key in the client's   Certificate message.   Structure of this message:   The TLS CertificateVerify message and the underlying signature type   are defined in the TLS base specifications, and the latter is   extended here inSection 5.4.  For the "ecdsa" and "eddsa" cases, the   signature field in the CertificateVerify message contains an ECDSA or   EdDSA (respectively) signature computed over handshake messages   exchanged so far, exactly similar to CertificateVerify with other   signing algorithms:           CertificateVerify.signature.sha_hash               SHA(handshake_messages);           CertificateVerify.signature.rawdata               handshake_messages;   ECDSA signatures are computed as described inSection 5.10, and SHA   in the above template for sha_hash accordingly may denote a hash   algorithm other than SHA-1.  As per ANSI X9.62, an ECDSA signature   consists of a pair of integers, r and s.  The digitally-signed   element is encoded as an opaque vector <0..2^16-1>, the contents of   which are the DER encoding [X.690] corresponding to the following   ASN.1 notation [X.680].Nir, et al.                  Standards Track                   [Page 23]

RFC 8422                ECC Cipher Suites for TLS            August 2018           Ecdsa-Sig-Value ::= SEQUENCE {               r       INTEGER,               s       INTEGER           }   EdDSA signatures are generated and verified according to [RFC8032].   The digitally-signed element is encoded as an opaque vector   <0..2^16-1>, the contents of which include the octet string output of   the EdDSA signing algorithm.   Actions of the sender:   The client computes its signature over all handshake messages sent or   received starting at client hello and up to but not including this   message.  It uses the private key corresponding to its certified   public key to compute the signature, which is conveyed in the format   defined above.   Actions of the receiver:   The server extracts the client's signature from the CertificateVerify   message and verifies the signature using the public key it received   in the client's Certificate message.5.9.  Elliptic Curve Certificates   X.509 certificates containing ECC public keys or signed using ECDSA   MUST comply with [RFC3279] or another RFC that replaces or extends   it.  X.509 certificates containing ECC public keys or signed using   EdDSA MUST comply with [RFC8410].  Clients SHOULD use the elliptic   curve domain parameters recommended in ANSI X9.62, FIPS 186-4, and   SEC 2 [SECG-SEC2], or in [RFC8032].   EdDSA keys using the Ed25519 algorithm MUST use the ed25519 signature   algorithm, and Ed448 keys MUST use the ed448 signature algorithm.   This document does not define use of Ed25519ph and Ed448ph keys with   TLS.  Ed25519, Ed25519ph, Ed448, and Ed448ph keys MUST NOT be used   with ECDSA.5.10.  ECDH, ECDSA, and RSA Computations   All ECDH calculations for the NIST curves (including parameter and   key generation as well as the shared secret calculation) are   performed according to [IEEE.P1363] using the ECKAS-DH1 scheme with   the identity map as the Key Derivation Function (KDF) so that the   premaster secret is the x-coordinate of the ECDH shared secret   elliptic curve point represented as an octet string.  Note that this   octet string (Z in IEEE 1363 terminology), as output by FE2OSP (FieldNir, et al.                  Standards Track                   [Page 24]

RFC 8422                ECC Cipher Suites for TLS            August 2018   Element to Octet String Conversion Primitive), has constant length   for any given field; leading zeros found in this octet string MUST   NOT be truncated.   (Note that this use of the identity KDF is a technicality.  The   complete picture is that ECDH is employed with a non-trivial KDF   because TLS does not directly use the premaster secret for anything   other than for computing the master secret.  In TLS 1.0 and 1.1, this   means that the MD5- and SHA-1-based TLS Pseudorandom Function (PRF)   serves as a KDF; in TLS 1.2, the KDF is determined by ciphersuite,   and it is conceivable that future TLS versions or new TLS extensions   introduced in the future may vary this computation.)   An ECDHE key exchange using X25519 (curve x25519) goes as follows:   (1) each party picks a secret key d uniformly at random and computes   the corresponding public key x = X25519(d, G); (2) parties exchange   their public keys and compute a shared secret as x_S = X25519(d,   x_peer); and (3), if either party obtains all-zeroes x_S, it MUST   abort the handshake (as required by definition of X25519 and X448).   ECDHE for X448 works similarly, replacing X25519 with X448 and x25519   with x448.  The derived shared secret is used directly as the   premaster secret, which is always exactly 32 bytes when ECDHE with   X25519 is used and 56 bytes when ECDHE with X448 is used.   All ECDSA computations MUST be performed according to ANSI X9.62 or   its successors.  Data to be signed/verified is hashed, and the result   runs directly through the ECDSA algorithm with no additional hashing.   A secure hash function such as SHA-256, SHA-384, or SHA-512 from   [FIPS.180-4] MUST be used.   All EdDSA computations MUST be performed according to [RFC8032] or   its successors.  Data to be signed/verified is run through the EdDSA   algorithm with no hashing (EdDSA will internally run the data through   the "prehash" function PH).  The context parameter for Ed448 MUST be   set to the empty string.RFC 4492 anticipated the standardization of a mechanism for   specifying the required hash function in the certificate, perhaps in   the parameters field of the subjectPublicKeyInfo.  Such   standardization never took place, and as a result, SHA-1 is used in   TLS 1.1 and earlier (except for EdDSA, which uses identity function).   TLS 1.2 added a SignatureAndHashAlgorithm parameter to the   DigitallySigned struct, thus allowing agility in choosing the   signature hash.  EdDSA signatures MUST have HashAlgorithm of 8   (Intrinsic).   All RSA signatures must be generated and verified according toSection 7.2 of [RFC8017].Nir, et al.                  Standards Track                   [Page 25]

RFC 8422                ECC Cipher Suites for TLS            August 20185.11.  Public Key Validation   With the NIST curves, each party MUST validate the public key sent by   its peer in the ClientKeyExchange and ServerKeyExchange messages.  A   receiving party MUST check that the x and y parameters from the   peer's public value satisfy the curve equation, y^2 = x^3 + ax + b   mod p.  See Section 2.3 of [Menezes] for details.  Failing to do so   allows attackers to gain information about the private key to the   point that they may recover the entire private key in a few requests   if that key is not really ephemeral.   With X25519 and X448, a receiving party MUST check whether the   computed premaster secret is the all-zero value and abort the   handshake if so, as described inSection 6 of [RFC7748].   Ed25519 and Ed448 internally do public key validation as part of   signature verification.6.  Cipher Suites   The table below defines ECC cipher suites that use the key exchange   algorithms specified inSection 2.       +-----------------------------------------+----------------+       | CipherSuite                             | Identifier     |       +-----------------------------------------+----------------+       | TLS_ECDHE_ECDSA_WITH_NULL_SHA           | { 0xC0, 0x06 } |       | TLS_ECDHE_ECDSA_WITH_3DES_EDE_CBC_SHA   | { 0xC0, 0x08 } |       | TLS_ECDHE_ECDSA_WITH_AES_128_CBC_SHA    | { 0xC0, 0x09 } |       | TLS_ECDHE_ECDSA_WITH_AES_256_CBC_SHA    | { 0xC0, 0x0A } |       | TLS_ECDHE_ECDSA_WITH_AES_128_GCM_SHA256 | { 0xC0, 0x2B } |       | TLS_ECDHE_ECDSA_WITH_AES_256_GCM_SHA384 | { 0xC0, 0x2C } |       |                                         |                |       | TLS_ECDHE_RSA_WITH_NULL_SHA             | { 0xC0, 0x10 } |       | TLS_ECDHE_RSA_WITH_3DES_EDE_CBC_SHA     | { 0xC0, 0x12 } |       | TLS_ECDHE_RSA_WITH_AES_128_CBC_SHA      | { 0xC0, 0x13 } |       | TLS_ECDHE_RSA_WITH_AES_256_CBC_SHA      | { 0xC0, 0x14 } |       | TLS_ECDHE_RSA_WITH_AES_128_GCM_SHA256   | { 0xC0, 0x2F } |       | TLS_ECDHE_RSA_WITH_AES_256_GCM_SHA384   | { 0xC0, 0x30 } |       |                                         |                |       | TLS_ECDH_anon_WITH_NULL_SHA             | { 0xC0, 0x15 } |       | TLS_ECDH_anon_WITH_3DES_EDE_CBC_SHA     | { 0xC0, 0x17 } |       | TLS_ECDH_anon_WITH_AES_128_CBC_SHA      | { 0xC0, 0x18 } |       | TLS_ECDH_anon_WITH_AES_256_CBC_SHA      | { 0xC0, 0x19 } |       +-----------------------------------------+----------------+                      Table 3: TLS ECC Cipher SuitesNir, et al.                  Standards Track                   [Page 26]

RFC 8422                ECC Cipher Suites for TLS            August 2018   The key exchange method, cipher, and hash algorithm for each of these   cipher suites are easily determined by examining the name.  Ciphers   (other than AES ciphers) and hash algorithms are defined in [RFC2246]   and [RFC4346].  AES ciphers are defined in [RFC5246], and AES-GCM   ciphersuites are in [RFC5289].   Server implementations SHOULD support all of the following cipher   suites, and client implementations SHOULD support at least one of   them:   o  TLS_ECDHE_RSA_WITH_AES_128_GCM_SHA256   o  TLS_ECDHE_RSA_WITH_AES_128_CBC_SHA   o  TLS_ECDHE_ECDSA_WITH_AES_128_GCM_SHA256   o  TLS_ECDHE_ECDSA_WITH_AES_128_CBC_SHA7.  Implementation Status   Both ECDHE and ECDSA with the NIST curves are widely implemented and   supported in all major browsers and all widely used TLS libraries.   ECDHE with Curve25519 is by now implemented in several browsers and   several TLS libraries including OpenSSL.  Curve448 and EdDSA have   working interoperable implementations, but they are not yet as widely   deployed.8.  Security Considerations   Security issues are discussed throughout this memo.   For TLS handshakes using ECC cipher suites, the security   considerations inAppendix D of each of the three TLS base documents   apply accordingly.   Security discussions specific to ECC can be found in [IEEE.P1363] and   [ANSI.X9-62.2005].  One important issue that implementers and users   must consider is elliptic curve selection.  Guidance on selecting an   appropriate elliptic curve size is given in Table 1.  Security   considerations specific to X25519 and X448 are discussed inSection 7   of [RFC7748].   Beyond elliptic curve size, the main issue is elliptic curve   structure.  As a general principle, it is more conservative to use   elliptic curves with as little algebraic structure as possible.   Thus, random curves are more conservative than special curves such as   Koblitz curves, and curves over F_p with p random are more   conservative than curves over F_p with p of a special form, andNir, et al.                  Standards Track                   [Page 27]

RFC 8422                ECC Cipher Suites for TLS            August 2018   curves over F_p with p random are considered more conservative than   curves over F_2^m as there is no choice between multiple fields of   similar size for characteristic 2.   Another issue is the potential for catastrophic failures when a   single elliptic curve is widely used.  In this case, an attack on the   elliptic curve might result in the compromise of a large number of   keys.  Again, this concern may need to be balanced against efficiency   and interoperability improvements associated with widely used curves.   Substantial additional information on elliptic curve choice can be   found in [IEEE.P1363], [ANSI.X9-62.2005], and [FIPS.186-4].   The Introduction of [RFC8032] lists the security, performance, and   operational advantages of EdDSA signatures over ECDSA signatures   using the NIST curves.   All of the key exchange algorithms defined in this document provide   forward secrecy.  Some of the deprecated key exchange algorithms do   not.9.  IANA Considerations   [RFC4492], the predecessor of this document, defined the IANA   registries for the following:   o  Supported Groups (Section 5.1)   o  EC Point Format (Section 5.1)   o  EC Curve Type (Section 5.4)   IANA has prepended "TLS" to the names of these three registries.   For each name space, this document defines the initial value   assignments and defines a range of 256 values (NamedCurve) or eight   values (ECPointFormat and ECCurveType) reserved for Private Use.  The   policy for any additional assignments is "Specification Required".   (RFC 4492 required IETF review.)   All existing entries in the "ExtensionType Values", "TLS   ClientCertificateType Identifiers", "TLS Cipher Suites", "TLS   Supported Groups", "TLS EC Point Format", and "TLS EC Curve Type"   registries that referred toRFC 4492 have been updated to refer to   this document.   IANA has assigned the value 29 to x25519 and the value 30 to x448 in   the "TLS Supported Groups" registry.Nir, et al.                  Standards Track                   [Page 28]

RFC 8422                ECC Cipher Suites for TLS            August 2018   IANA has assigned two values in the "TLS SignatureAlgorithm" registry   for ed25519 (7) and ed448 (8) with this document as reference.  This   keeps compatibility with TLS 1.3.   IANA has assigned one value from the "TLS HashAlgorithm" registry for   Intrinsic (8) with DTLS-OK set to true (Y) and this document as   reference.  This keeps compatibility with TLS 1.3.10.  References10.1.  Normative References   [ANSI.X9-62.2005]              American National Standards Institute, "Public Key              Cryptography for the Financial Services Industry: The              Elliptic Curve Digital Signature Algorithm (ECDSA)",              ANSI X9.62, November 2005.   [FIPS.186-4]              National Institute of Standards and Technology, "Digital              Signature Standard (DSS)", FIPS PUB 186-4,              DOI 10.6028/NIST.FIPS.186-4, July 2013,              <http://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.186-4.pdf>.   [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>.   [RFC2246]  Dierks, T. and C. Allen, "The TLS Protocol Version 1.0",RFC 2246, DOI 10.17487/RFC2246, January 1999,              <https://www.rfc-editor.org/info/rfc2246>.   [RFC3279]  Bassham, L., Polk, W., and R. Housley, "Algorithms and              Identifiers for the Internet X.509 Public Key              Infrastructure Certificate and Certificate Revocation List              (CRL) Profile",RFC 3279, DOI 10.17487/RFC3279, April              2002, <https://www.rfc-editor.org/info/rfc3279>.   [RFC4346]  Dierks, T. and E. Rescorla, "The Transport Layer Security              (TLS) Protocol Version 1.1",RFC 4346,              DOI 10.17487/RFC4346, April 2006,              <https://www.rfc-editor.org/info/rfc4346>.Nir, et al.                  Standards Track                   [Page 29]

RFC 8422                ECC Cipher Suites for TLS            August 2018   [RFC4366]  Blake-Wilson, S., Nystrom, M., Hopwood, D., Mikkelsen, J.,              and T. Wright, "Transport Layer Security (TLS)              Extensions",RFC 4366, DOI 10.17487/RFC4366, April 2006,              <https://www.rfc-editor.org/info/rfc4366>.   [RFC5246]  Dierks, T. and E. Rescorla, "The Transport Layer Security              (TLS) Protocol Version 1.2",RFC 5246,              DOI 10.17487/RFC5246, August 2008,              <https://www.rfc-editor.org/info/rfc5246>.   [RFC5289]  Rescorla, E., "TLS Elliptic Curve Cipher Suites with SHA-              256/384 and AES Galois Counter Mode (GCM)",RFC 5289,              DOI 10.17487/RFC5289, August 2008,              <https://www.rfc-editor.org/info/rfc5289>.   [RFC7748]  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>.   [RFC8017]  Moriarty, K., Ed., Kaliski, B., Jonsson, J., and A. Rusch,              "PKCS #1: RSA Cryptography Specifications Version 2.2",RFC 8017, DOI 10.17487/RFC8017, November 2016,              <https://www.rfc-editor.org/info/rfc8017>.   [RFC8032]  Josefsson, S. and I. Liusvaara, "Edwards-Curve Digital              Signature Algorithm (EdDSA)",RFC 8032,              DOI 10.17487/RFC8032, January 2017,              <https://www.rfc-editor.org/info/rfc8032>.   [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, 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>.   [SECG-SEC2]              Certicom Research, "SEC 2: Recommended Elliptic Curve              Domain Parameters", Standards for Efficient Cryptography 2              (SEC 2), Version 2.0, January 2010,              <http://www.secg.org/sec2-v2.pdf>.   [X.680]    ITU-T, "Abstract Syntax Notation One (ASN.1):              Specification of basic notation", ITU-T Recommendation              X.680, ISO/IEC 8824-1, August 2015.Nir, et al.                  Standards Track                   [Page 30]

RFC 8422                ECC Cipher Suites for TLS            August 2018   [X.690]    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              2015.10.2.  Informative References   [FIPS.180-4]              National Institute of Standards and Technology, "Secure              Hash Standard (SHS)", FIPS PUB 180-4, DOI              10.6028/NIST.FIPS.180-4, August 2015,              <http://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.180-4.pdf>.   [IEEE.P1363]              IEEE, "Standard Specifications for Public Key              Cryptography", IEEE Std P1363,              <http://ieeexplore.ieee.org/document/891000/>.   [Menezes]  Menezes, A. and B. Ustaoglu, "On reusing ephemeral keys in              Diffie-Hellman key agreement protocols", International              Journal of Applied Cryptography, Vol. 2, Issue 2,              DOI 10.1504/IJACT.2010.038308, January 2010.   [RFC4492]  Blake-Wilson, S., Bolyard, N., Gupta, V., Hawk, C., and B.              Moeller, "Elliptic Curve Cryptography (ECC) Cipher Suites              for Transport Layer Security (TLS)",RFC 4492,              DOI 10.17487/RFC4492, May 2006,              <https://www.rfc-editor.org/info/rfc4492>.   [RFC7919]  Gillmor, D., "Negotiated Finite Field Diffie-Hellman              Ephemeral Parameters for Transport Layer Security (TLS)",RFC 7919, DOI 10.17487/RFC7919, August 2016,              <https://www.rfc-editor.org/info/rfc7919>.   [TLS1.3]   Rescorla, E., "The Transport Layer Security (TLS) Protocol              Version 1.3", Work in Progress,draft-ietf-tls-tls13-28,              March 2018.Nir, et al.                  Standards Track                   [Page 31]

RFC 8422                ECC Cipher Suites for TLS            August 2018Appendix A.  Equivalent Curves (Informative)   All of the NIST curves [FIPS.186-4] and several of the ANSI curves   [ANSI.X9-62.2005] are equivalent to curves listed inSection 5.1.1.   The following table displays the curve names chosen by different   standards organizations; multiple names in one row represent aliases   for the same curve.                  +-----------+------------+------------+                  | SECG      | ANSI X9.62 | NIST       |                  +-----------+------------+------------+                  | sect163k1 |            | NIST K-163 |                  | sect163r1 |            |            |                  | sect163r2 |            | NIST B-163 |                  | sect193r1 |            |            |                  | sect193r2 |            |            |                  | sect233k1 |            | NIST K-233 |                  | sect233r1 |            | NIST B-233 |                  | sect239k1 |            |            |                  | sect283k1 |            | NIST K-283 |                  | sect283r1 |            | NIST B-283 |                  | sect409k1 |            | NIST K-409 |                  | sect409r1 |            | NIST B-409 |                  | sect571k1 |            | NIST K-571 |                  | sect571r1 |            | NIST B-571 |                  | secp160k1 |            |            |                  | secp160r1 |            |            |                  | secp160r2 |            |            |                  | secp192k1 |            |            |                  | secp192r1 | prime192v1 | NIST P-192 |                  | secp224k1 |            |            |                  | secp224r1 |            | NIST P-224 |                  | secp256k1 |            |            |                  | secp256r1 | prime256v1 | NIST P-256 |                  | secp384r1 |            | NIST P-384 |                  | secp521r1 |            | NIST P-521 |                  +-----------+------------+------------+        Table 4: Equivalent Curves Defined by SECG, ANSI, and NISTNir, et al.                  Standards Track                   [Page 32]

RFC 8422                ECC Cipher Suites for TLS            August 2018Appendix B.  Differences fromRFC 4492   o  Renamed EllipticCurveList to NamedCurveList.   o  Added TLS 1.2.   o  Merged errata.   o  Removed the ECDH key exchange algorithms: ECDH_RSA and ECDH_ECDSA   o  Deprecated a bunch of ciphersuites:         TLS_ECDH_ECDSA_WITH_NULL_SHA         TLS_ECDH_ECDSA_WITH_RC4_128_SHA         TLS_ECDH_ECDSA_WITH_3DES_EDE_CBC_SHA         TLS_ECDH_ECDSA_WITH_AES_128_CBC_SHA         TLS_ECDH_ECDSA_WITH_AES_256_CBC_SHA         TLS_ECDH_RSA_WITH_NULL_SHA         TLS_ECDH_RSA_WITH_RC4_128_SHA         TLS_ECDH_RSA_WITH_3DES_EDE_CBC_SHA         TLS_ECDH_RSA_WITH_AES_128_CBC_SHA         TLS_ECDH_RSA_WITH_AES_256_CBC_SHA         All the other RC4 ciphersuites   o  Removed unused curves and all but the uncompressed point format.   o  Added X25519 and X448.   o  Deprecated explicit curves.   o  Removed restriction on signature algorithm in certificate.Nir, et al.                  Standards Track                   [Page 33]

RFC 8422                ECC Cipher Suites for TLS            August 2018Acknowledgements   Most of the text in this document is taken from [RFC4492], the   predecessor of this document.  The authors of that document were:   o  Simon Blake-Wilson   o  Nelson Bolyard   o  Vipul Gupta   o  Chris Hawk   o  Bodo Moeller   In the predecessor document, the authors acknowledged the   contributions of Bill Anderson and Tim Dierks.   The authors would like to thank Nikos Mavrogiannopoulos, Martin   Thomson, and Tanja Lange for contributions to this document.Authors' Addresses   Yoav Nir   Check Point Software Technologies Ltd.   5 Hasolelim st.   Tel Aviv  6789735   Israel   Email: ynir.ietf@gmail.com   Simon Josefsson   SJD AB   Email: simon@josefsson.org   Manuel Pegourie-Gonnard   ARM   Email: mpg@elzevir.frNir, et al.                  Standards Track                   [Page 34]

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