From 4bfd864f10b68b71482b35c818559068ef8d5797 Mon Sep 17 00:00:00 2001 From: Thomas Voss Date: Wed, 27 Nov 2024 20:54:24 +0100 Subject: doc: Add RFC documents --- doc/rfc/rfc7027.txt | 563 ++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 563 insertions(+) create mode 100644 doc/rfc/rfc7027.txt (limited to 'doc/rfc/rfc7027.txt') diff --git a/doc/rfc/rfc7027.txt b/doc/rfc/rfc7027.txt new file mode 100644 index 0000000..c64977a --- /dev/null +++ b/doc/rfc/rfc7027.txt @@ -0,0 +1,563 @@ + + + + + + +Internet Engineering Task Force (IETF) J. Merkle +Request for Comments: 7027 secunet Security Networks +Updates: 4492 M. Lochter +Category: Informational BSI +ISSN: 2070-1721 October 2013 + + + Elliptic Curve Cryptography (ECC) Brainpool Curves + for Transport Layer Security (TLS) + +Abstract + + This document specifies the use of several Elliptic Curve + Cryptography (ECC) Brainpool curves for authentication and key + exchange in the Transport Layer Security (TLS) protocol. + +Status of This Memo + + This document is not an Internet Standards Track specification; it is + published for informational purposes. + + 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). Not all documents + approved by the IESG are a candidate for any level of Internet + Standard; see Section 2 of RFC 5741. + + Information about the current status of this document, any errata, + and how to provide feedback on it may be obtained at + http://www.rfc-editor.org/info/rfc7027. + +Copyright Notice + + Copyright (c) 2013 IETF Trust and the persons identified as the + document authors. All rights reserved. + + This document is subject to BCP 78 and the IETF Trust's Legal + Provisions Relating to IETF Documents + (http://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. + + + + + +Merkle & Lochter Informational [Page 1] + +RFC 7027 ECC Brainpool Curves for TLS October 2013 + + +Table of Contents + + 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . 2 + 2. Brainpool NamedCurve Types . . . . . . . . . . . . . . . . . . 2 + 3. IANA Considerations . . . . . . . . . . . . . . . . . . . . . . 3 + 4. Security Considerations . . . . . . . . . . . . . . . . . . . . 3 + 5. References . . . . . . . . . . . . . . . . . . . . . . . . . . 4 + 5.1. Normative References . . . . . . . . . . . . . . . . . . . 4 + 5.2. Informative References . . . . . . . . . . . . . . . . . . 4 + Appendix A. Test Vectors . . . . . . . . . . . . . . . . . . . . . 6 + A.1. 256-Bit Curve . . . . . . . . . . . . . . . . . . . . . . . 7 + A.2. 384-Bit Curve . . . . . . . . . . . . . . . . . . . . . . . 8 + A.3. 512-Bit Curve . . . . . . . . . . . . . . . . . . . . . . . 9 + +1. Introduction + + [RFC5639] specifies a new set of elliptic curve groups over finite + prime fields for use in cryptographic applications. These groups, + denoted as ECC Brainpool curves, were generated in a verifiably + pseudo-random way and comply with the security requirements of + relevant standards from ISO [ISO1] [ISO2], ANSI [ANSI1], NIST [FIPS], + and SecG [SEC2]. + + [RFC4492] defines the usage of elliptic curves for authentication and + key agreement in TLS 1.0 and TLS 1.1; these mechanisms may also be + used with TLS 1.2 [RFC5246]. While the ASN.1 object identifiers + defined in [RFC5639] already allow usage of the ECC Brainpool curves + for TLS (client or server) authentication through reference in X.509 + certificates according to [RFC3279] and [RFC5480], their negotiation + for key exchange according to [RFC4492] requires the definition and + assignment of additional NamedCurve IDs. This document specifies + such values for three curves from [RFC5639]. + +2. Brainpool NamedCurve Types + + According to [RFC4492], the name space NamedCurve is used for the + negotiation of elliptic curve groups for key exchange during a + handshake starting a new TLS session. This document adds new + NamedCurve types to three elliptic curves defined in [RFC5639] as + follows: + + enum { + brainpoolP256r1(26), + brainpoolP384r1(27), + brainpoolP512r1(28) + } NamedCurve; + + These curves are suitable for use with Datagram TLS [RFC6347]. + + + +Merkle & Lochter Informational [Page 2] + +RFC 7027 ECC Brainpool Curves for TLS October 2013 + + + Test vectors for a Diffie-Hellman key exchange using these elliptic + curves are provided in Appendix A. + +3. IANA Considerations + + IANA has assigned numbers for the ECC Brainpool curves listed in + Section 2 in the "EC Named Curve" [IANA-TLS] registry of the + "Transport Layer Security (TLS) Parameters" registry as follows: + + +-------+-----------------+---------+-----------+ + | Value | Description | DTLS-OK | Reference | + +-------+-----------------+---------+-----------+ + | 26 | brainpoolP256r1 | Y | RFC 7027 | + | 27 | brainpoolP384r1 | Y | RFC 7027 | + | 28 | brainpoolP512r1 | Y | RFC 7027 | + +-------+-----------------+---------+-----------+ + + Table 1 + +4. Security Considerations + + The security considerations of [RFC5246] apply to the ECC Brainpool + curves described in this document. + + The confidentiality, authenticity, and integrity of the TLS + communication is limited by the weakest cryptographic primitive + applied. In order to achieve a maximum security level when using one + of the elliptic curves from Table 1 for authentication and/or key + exchange in TLS, the key derivation function; the algorithms and key + lengths of symmetric encryption; and message authentication (as well + as the algorithm, bit length, and hash function used for signature + generation) should be chosen according to the recommendations of + [NIST800-57] and [RFC5639]. Furthermore, the private Diffie-Hellman + keys should be selected with the same bit length as the order of the + group generated by the base point G and with approximately maximum + entropy. + + Implementations of elliptic curve cryptography for TLS may be + susceptible to side-channel attacks. Particular care should be taken + for implementations that internally transform curve points to points + on the corresponding "twisted curve", using the map (x',y') = (x*Z^2, + y*Z^3) with the coefficient Z specified for that curve in [RFC5639], + in order to take advantage of an efficient arithmetic based on the + twisted curve's special parameters (A = -3). Although the twisted + curve itself offers the same level of security as the corresponding + random curve (through mathematical equivalence), an arithmetic based + on small curve parameters may be harder to protect against side- + + + + +Merkle & Lochter Informational [Page 3] + +RFC 7027 ECC Brainpool Curves for TLS October 2013 + + + channel attacks. General guidance on resistance of elliptic curve + cryptography implementations against side-channel-attacks is given in + [BSI1] and [HMV]. + +5. References + +5.1. Normative References + + [IANA-TLS] Internet Assigned Numbers Authority, "Transport Layer + Security (TLS) Parameters", + . + + [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, + May 2006. + + [RFC5246] Dierks, T. and E. Rescorla, "The Transport Layer + Security (TLS) Protocol Version 1.2", RFC 5246, + August 2008. + + [RFC5639] Lochter, M. and J. Merkle, "Elliptic Curve Cryptography + (ECC) Brainpool Standard Curves and Curve Generation", + RFC 5639, March 2010. + + [RFC6347] Rescorla, E. and N. Modadugu, "Datagram Transport Layer + Security Version 1.2", RFC 6347, January 2012. + +5.2. Informative References + + [ANSI1] American National Standards Institute, "Public Key + Cryptography For The Financial Services Industry: The + Elliptic Curve Digital Signature Algorithm (ECDSA)", + ANSI X9.62, 2005. + + [BSI1] Bundesamt fuer Sicherheit in der Informationstechnik, + "Minimum Requirements for Evaluating Side-Channel + Attack Resistance of Elliptic Curve Implementations", + July 2011. + + [FIPS] National Institute of Standards and Technology, + "Digital Signature Standard (DSS)", FIPS PUB 186-2, + December 1998. + + [HMV] Hankerson, D., Menezes, A., and S. Vanstone, "Guide to + Elliptic Curve Cryptography", Springer Verlag, 2004. + + + + + +Merkle & Lochter Informational [Page 4] + +RFC 7027 ECC Brainpool Curves for TLS October 2013 + + + [ISO1] International Organization for Standardization, + "Information Technology - Security Techniques - Digital + Signatures with Appendix - Part 3: Discrete Logarithm + Based Mechanisms", ISO/IEC 14888-3, 2006. + + [ISO2] International Organization for Standardization, + "Information Technology - Security Techniques - + Cryptographic Techniques Based on Elliptic Curves - + Part 2: Digital signatures", ISO/IEC 15946-2, 2002. + + [NIST800-57] National Institute of Standards and Technology, + "Recommendation for Key Management - Part 1: General + (Revised)", NIST Special Publication 800-57, + March 2007. + + [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, April 2002. + + [RFC5480] Turner, S., Brown, D., Yiu, K., Housley, R., and T. + Polk, "Elliptic Curve Cryptography Subject Public Key + Information", RFC 5480, March 2009. + + [SEC1] Certicom Research, "Elliptic Curve Cryptography", + Standards for Efficient Cryptography (SEC) 1, + September 2000. + + [SEC2] Certicom Research, "Recommended Elliptic Curve Domain + Parameters", Standards for Efficient Cryptography + (SEC) 2, September 2000. + + + + + + + + + + + + + + + + + + + + +Merkle & Lochter Informational [Page 5] + +RFC 7027 ECC Brainpool Curves for TLS October 2013 + + +Appendix A. Test Vectors + + This section provides some test vectors for example Diffie-Hellman + key exchanges using each of the curves defined in Table 1. The + following notation is used in the subsequent sections: + + d_A: the secret key of party A + + x_qA: the x-coordinate of the public key of party A + + y_qA: the y-coordinate of the public key of party A + + d_B: the secret key of party B + + x_qB: the x-coordinate of the public key of party B + + y_qB: the y-coordinate of the public key of party B + + x_Z: the x-coordinate of the shared secret that results from + completion of the Diffie-Hellman computation, i.e., the hex + representation of the pre-master secret + + y_Z: the y-coordinate of the shared secret that results from + completion of the Diffie-Hellman computation + + The field elements x_qA, y_qA, x_qB, y_qB, x_Z, and y_Z are + represented as hexadecimal values using the FieldElement-to- + OctetString conversion method specified in [SEC1]. + + + + + + + + + + + + + + + + + + + + + + + +Merkle & Lochter Informational [Page 6] + +RFC 7027 ECC Brainpool Curves for TLS October 2013 + + +A.1. 256-Bit Curve + + Curve brainpoolP256r1 + + dA = + 81DB1EE100150FF2EA338D708271BE38300CB54241D79950F77B063039804F1D + + x_qA = + 44106E913F92BC02A1705D9953A8414DB95E1AAA49E81D9E85F929A8E3100BE5 + + y_qA = + 8AB4846F11CACCB73CE49CBDD120F5A900A69FD32C272223F789EF10EB089BDC + + dB = + 55E40BC41E37E3E2AD25C3C6654511FFA8474A91A0032087593852D3E7D76BD3 + + x_qB = + 8D2D688C6CF93E1160AD04CC4429117DC2C41825E1E9FCA0ADDD34E6F1B39F7B + + y_qB = + 990C57520812BE512641E47034832106BC7D3E8DD0E4C7F1136D7006547CEC6A + + x_Z = + 89AFC39D41D3B327814B80940B042590F96556EC91E6AE7939BCE31F3A18BF2B + + y_Z = + 49C27868F4ECA2179BFD7D59B1E3BF34C1DBDE61AE12931648F43E59632504DE + + + + + + + + + + + + + + + + + + + + + + + + +Merkle & Lochter Informational [Page 7] + +RFC 7027 ECC Brainpool Curves for TLS October 2013 + + +A.2. 384-Bit Curve + + Curve brainpoolP384r1 + + dA = 1E20F5E048A5886F1F157C74E91BDE2B98C8B52D58E5003D57053FC4B0BD6 + 5D6F15EB5D1EE1610DF870795143627D042 + + x_qA = 68B665DD91C195800650CDD363C625F4E742E8134667B767B1B47679358 + 8F885AB698C852D4A6E77A252D6380FCAF068 + + y_qA = 55BC91A39C9EC01DEE36017B7D673A931236D2F1F5C83942D049E3FA206 + 07493E0D038FF2FD30C2AB67D15C85F7FAA59 + + dB = 032640BC6003C59260F7250C3DB58CE647F98E1260ACCE4ACDA3DD869F74E + 01F8BA5E0324309DB6A9831497ABAC96670 + + x_qB = 4D44326F269A597A5B58BBA565DA5556ED7FD9A8A9EB76C25F46DB69D19 + DC8CE6AD18E404B15738B2086DF37E71D1EB4 + + y_qB = 62D692136DE56CBE93BF5FA3188EF58BC8A3A0EC6C1E151A21038A42E91 + 85329B5B275903D192F8D4E1F32FE9CC78C48 + + x_Z = 0BD9D3A7EA0B3D519D09D8E48D0785FB744A6B355E6304BC51C229FBBCE2 + 39BBADF6403715C35D4FB2A5444F575D4F42 + + y_Z = 0DF213417EBE4D8E40A5F76F66C56470C489A3478D146DECF6DF0D94BAE9 + E598157290F8756066975F1DB34B2324B7BD + + + + + + + + + + + + + + + + + + + + + + + + +Merkle & Lochter Informational [Page 8] + +RFC 7027 ECC Brainpool Curves for TLS October 2013 + + +A.3. 512-Bit Curve + + Curve brainpoolP512r1 + + dA = 16302FF0DBBB5A8D733DAB7141C1B45ACBC8715939677F6A56850A38BD87B + D59B09E80279609FF333EB9D4C061231FB26F92EEB04982A5F1D1764CAD5766542 + 2 + + x_qA = 0A420517E406AAC0ACDCE90FCD71487718D3B953EFD7FBEC5F7F27E28C6 + 149999397E91E029E06457DB2D3E640668B392C2A7E737A7F0BF04436D11640FD0 + 9FD + + y_qA = 72E6882E8DB28AAD36237CD25D580DB23783961C8DC52DFA2EC138AD472 + A0FCEF3887CF62B623B2A87DE5C588301EA3E5FC269B373B60724F5E82A6AD147F + DE7 + + dB = 230E18E1BCC88A362FA54E4EA3902009292F7F8033624FD471B5D8ACE49D1 + 2CFABBC19963DAB8E2F1EBA00BFFB29E4D72D13F2224562F405CB80503666B2542 + 9 + + x_qB = 9D45F66DE5D67E2E6DB6E93A59CE0BB48106097FF78A081DE781CDB31FC + E8CCBAAEA8DD4320C4119F1E9CD437A2EAB3731FA9668AB268D871DEDA55A54731 + 99F + + y_qB = 2FDC313095BCDD5FB3A91636F07A959C8E86B5636A1E930E8396049CB48 + 1961D365CC11453A06C719835475B12CB52FC3C383BCE35E27EF194512B7187628 + 5FA + + x_Z = A7927098655F1F9976FA50A9D566865DC530331846381C87256BAF322624 + 4B76D36403C024D7BBF0AA0803EAFF405D3D24F11A9B5C0BEF679FE1454B21C4CD + 1F + + y_Z = 7DB71C3DEF63212841C463E881BDCF055523BD368240E6C3143BD8DEF8B3 + B3223B95E0F53082FF5E412F4222537A43DF1C6D25729DDB51620A832BE6A26680 + A2 + + + + + + + + + + + + + + + + +Merkle & Lochter Informational [Page 9] + +RFC 7027 ECC Brainpool Curves for TLS October 2013 + + +Authors' Addresses + + Johannes Merkle + secunet Security Networks + Mergenthaler Allee 77 + 65760 Eschborn + Germany + + Phone: +49 201 5454 3091 + EMail: johannes.merkle@secunet.com + + + Manfred Lochter + Bundesamt fuer Sicherheit in der Informationstechnik (BSI) + Postfach 200363 + 53133 Bonn + Germany + + Phone: +49 228 9582 5643 + EMail: manfred.lochter@bsi.bund.de + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Merkle & Lochter Informational [Page 10] + -- cgit v1.2.3