Network Working Group Y. Nir Internet-Draft Check Point Intended status: Standards Track S. Josefsson Expires: March 11, 2016 SJD September 8, 2015 Curve25519 and Curve448 for IKEv2 Key Agreement draft-ietf-ipsecme-safecurves-00 Abstract This document describes the use of Curve25519 and Curve448 for ephemeral key exchange in the Internet Key Exchange (IKEv2) protocol. Status of This Memo This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79. Internet-Drafts are working documents of the Internet Engineering Task Force (IETF). Note that other groups may also distribute working documents as Internet-Drafts. The list of current Internet- Drafts is at http://datatracker.ietf.org/drafts/current/. Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as "work in progress." This Internet-Draft will expire on March 11, 2016. Copyright Notice Copyright (c) 2015 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. Nir & Josefsson Expires March 11, 2016 [Page 1] Internet-Draft Curve25519 and Curve448 for IKEv2 September 2015 Table of Contents 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1. Conventions Used in This Document . . . . . . . . . . . . 2 2. Curve25519 & Curve448 . . . . . . . . . . . . . . . . . . . . 2 3. Use and Negotiation in IKEv2 . . . . . . . . . . . . . . . . 3 3.1. Key Exchange Payload . . . . . . . . . . . . . . . . . . 3 3.2. Recipient Tests . . . . . . . . . . . . . . . . . . . . . 4 4. Security Considerations . . . . . . . . . . . . . . . . . . . 4 5. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 4 6. Acknowledgements . . . . . . . . . . . . . . . . . . . . . . 5 7. References . . . . . . . . . . . . . . . . . . . . . . . . . 5 7.1. Normative References . . . . . . . . . . . . . . . . . . 5 7.2. Informative References . . . . . . . . . . . . . . . . . 5 Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . 5 1. Introduction [CFRG-Curves] describes the two elliptic curves Curve25519 and Curve448 and the X25519 and X448 functions for performing Diffie- Hellman operations on the curves. The curves and functions are designed with performance and security in mind. Almost ten years ago [RFC4753] specified the first elliptic curve Diffie-Hellman groups for the Internet Key Exchange protocol (IKEv2 - [RFC7296]). These were the so-called NIST curves. The state of the art has advanced since then. More modern curves allow faster implementations while making it much easier to write constant-time implementations free from side-channel attacks. This document defines such a curve for use in IKE. See [Curve25519] for details about the speed and security of the Curve25519 function. 1.1. Conventions Used in This Document The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in [RFC2119]. 2. Curve25519 & Curve448 All cryptographic computations are done using the X25519 and X448 functions defined in [CFRG-Curves]. All related parameters (for example, the base point) and the encoding (in particular, pruning the least/most significant bits and use of little-endian encoding) are inherited from [CFRG-Curves]. An ephemeral Diffie-Hellman key exchange using Curve25519 or Curve448 goes as follows: Each party picks a secret key d uniformly at random Nir & Josefsson Expires March 11, 2016 [Page 2] Internet-Draft Curve25519 and Curve448 for IKEv2 September 2015 and computes the corresponding public key. "X" is used below to denote either X25519 or X448: x_mine = X(d, G) Parties exchange their public keys (see Section 3.1) and compute a shared secret: SHARED_SECRET = X(d, x_peer). This shared secret is used directly as the value denoted g^ir in section 2.14 of RFC 7296. It is 32 octets when Curve25519 is used, and 56 octets when Curve448 is used. 3. Use and Negotiation in IKEv2 The use of Curve25519 and Curve448 in IKEv2 is negotiated using a Transform Type 4 (Diffie-Hellman group) in the SA payload of either an IKE_SA_INIT or a CREATE_CHILD_SA exchange. 3.1. Key Exchange Payload The diagram for the Key Exchange Payload from section 3.4 of RFC 7296 is copied below for convenience: 1 2 3 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ | Next Payload |C| RESERVED | Payload Length | +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ | Diffie-Hellman Group Num | RESERVED | +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ | | ~ Key Exchange Data ~ | | +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ o Payload Length - For Curve25519 the public key is 32 octets, so the Payload Length field will be 40, and for Curve448 the public key is 56 octets, so the Payload Length field will be 64. o The Diffie-Hellman Group Num is xx for Curve25519, or yy for Curve448 (both TBA by IANA). o The Key Exchange Data is the 32 or 56 octets as described in section 6 of [CFRG-Curves] Nir & Josefsson Expires March 11, 2016 [Page 3] Internet-Draft Curve25519 and Curve448 for IKEv2 September 2015 3.2. Recipient Tests This document match the discussion in [CFRG-Curves] related to receiving and accepting incompatible point formats. In particular, receiving entities MUST mask the most-significant bit in the final byte for X25519 (but not X448), and implementations MUST accept non- canonical values. See section 5 of [CFRG-Curves] for further discussion. 4. Security Considerations Curve25519 and Curve448 are designed to facilitate the production of high-performance constant-time implementations. Implementors are encouraged to use a constant-time implementation of the functions. This point is of crucial importance if the implementation chooses to reuse its supposedly ephemeral key pair for many key exchanges, which some implementations do in order to improve performance. Curve25519 is intended for the ~128-bit security level, comparable to the 256-bit random ECP group (group 19) defined in RFC 4753, also known as NIST P-256 or secp256r1. Curve448 is intended for the ~224-bit security level. While the NIST curves are advertised as being chosen verifiably at random, there is no explanation for the seeds used to generate them. In contrast, the process used to pick these curves is fully documented and rigid enough so that independent verification has been done. This is widely seen as a security advantage, since it prevents the generating party from maliciously manipulating the parameters. Another family of curves available in IKE, generated in a fully verifiable way, is the Brainpool curves [RFC6954]. For example, brainpoolP256 (group 28) is expected to provide a level of security comparable to Curve25519 and NIST P-256. However, due to the use of pseudo-random prime, it is significantly slower than NIST P-256, which is itself slower than Curve25519. 5. IANA Considerations IANA is requested to assign two values from the IKEv2 "Transform Type 4 - Diffie-Hellman Group Transform IDs" registry, with names "Curve25519" and "Curve448" and this document as reference. The Recipient Tests field should also point to this document. Nir & Josefsson Expires March 11, 2016 [Page 4] Internet-Draft Curve25519 and Curve448 for IKEv2 September 2015 6. Acknowledgements Curve25519 was designed by D. J. Bernstein and Curve448 ("Goldilocks") is by Mike Hamburg. The specification of algorithms, wire format and other considerations are due to the CFRG document. 7. References 7.1. Normative References [CFRG-Curves] Langley, A., Hamburg, M., and S. Turner, "Elliptic Curves for Security", draft-irtf-cfrg-curves-06 (work in progress), August 2015. [RFC2119] Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, March 1997. [RFC7296] Kivinen, T., Kaufman, C., Hoffman, P., Nir, Y., and P. Eronen, "Internet Key Exchange Protocol Version 2 (IKEv2)", RFC 7296, October 2014. 7.2. Informative References [Curve25519] Bernstein, J., "Curve25519: New Diffie-Hellman Speed Records", LNCS 3958, February 2006, . [RFC4753] Fu, D. and J. Solinas, "ECP Groups For IKE and IKEv2", RFC 4753, January 2007. [RFC6954] Merkle, J. and M. Lochter, "Using the Elliptic Curve Cryptography (ECC) Brainpool Curves for the Internet Key Exchange Protocol Version 2 (IKEv2)", RFC 6954, July 2013. Authors' Addresses Yoav Nir Check Point Software Technologies Ltd. 5 Hasolelim st. Tel Aviv 6789735 Israel Email: ynir.ietf@gmail.com Nir & Josefsson Expires March 11, 2016 [Page 5] Internet-Draft Curve25519 and Curve448 for IKEv2 September 2015 Simon Josefsson SJD AB Email: simon@josefsson.org Nir & Josefsson Expires March 11, 2016 [Page 6]