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Network Working Group                                            J. SongRequest for Comments: 4615                                 R. PoovendranCategory: Standards Track                       University of Washington                                                                  J. Lee                                                     Samsung Electronics                                                                T. Iwata                                                       Nagoya University                                                             August 2006The Advanced Encryption Standard-Cipher-basedMessage Authentication Code-Pseudo-Random Function-128(AES-CMAC-PRF-128) Algorithm for the                  Internet Key Exchange Protocol (IKE)Status of This Memo   This document specifies an Internet standards track protocol for the   Internet community, and requests discussion and suggestions for   improvements.  Please refer to the current edition of the "Internet   Official Protocol Standards" (STD 1) for the standardization state   and status of this protocol.  Distribution of this memo is unlimited.Copyright Notice   Copyright (C) The Internet Society (2006).Abstract   Some implementations of IP Security (IPsec) may want to use a   pseudo-random function (PRF) based on the Advanced Encryption   Standard (AES).  This memo describes such an algorithm, called   AES-CMAC-PRF-128.  It supports fixed and variable key sizes.Table of Contents1. Introduction ....................................................22. Basic Definitions ...............................................23. The AES-CMAC-PRF-128 Algorithm ..................................24. Test Vectors ....................................................45. Security Considerations .........................................46. IANA Considerations .............................................57. Acknowledgements ................................................58. References ......................................................58.1. Normative References .......................................58.2. Informative References .....................................5Song, et al.                Standards Track                     [Page 1]

RFC 4615                AES-CMAC-PRF-128 for IKE             August 20061.  Introduction   [RFC4493] describes a method to use the Advanced Encryption Standard   (AES) as a Message Authentication Code (MAC) that has a 128-bit   output length.  The 128-bit output is useful as a long-lived pseudo-   random function (PRF).  This document specifies a PRF that supports   fixed and variable key sizes for IKEv2 [RFC4306] Key Derivation   Function (KDF) and authentication.2.  Basic Definitions   VK         Variable-length key for AES-CMAC-PRF-128, denoted              by VK.   0^128      The string that consists of 128 zero-bits, which is              equivalent to 0x00000000000000000000000000000000 in              hexadecimal notation.   AES-CMAC   The AES-CMAC algorithm with a 128-bit long key described              insection 2.4 of [RFC4493].3.  The AES-CMAC-PRF-128 Algorithm   The AES-CMAC-PRF-128 algorithm is identical to AES-CMAC defined in   [RFC4493] except that the 128-bit key length restriction is removed.   IKEv2 [RFC4306] uses PRFs for multiple purposes, most notably for   generating keying material and authentication of the IKE_SA.  The   IKEv2 specification differentiates between PRFs with fixed key sizes   and those with variable key sizes.   When using AES-CMAC-PRF-128 as the PRF described in IKEv2, AES-CMAC-   PRF-128 is considered to take fixed size (16 octets) keys for   generating keying material but it takes variable key sizes for   authentication.   That is, when generating keying material, "half the bits must come   from Ni and half from Nr, taking the first bits of each" as described   in IKEv2,section 2.14; but for authenticating with shared secrets   (IKEv2,section 2.16), the shared secret does not have to be 16   octets and the length may vary.Song, et al.                Standards Track                     [Page 2]

RFC 4615                AES-CMAC-PRF-128 for IKE             August 2006   +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++   +                        AES-CMAC-PRF-128                           +   +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++   +                                                                   +   + Input  : VK (Variable-length key)                                 +   +        : M (Message, i.e., the input data of the PRF)             +   +        : VKlen (length of VK in octets)                           +   +        : len (length of M in octets)                              +   + Output : PRV (128-bit Pseudo-Random Variable)                     +   +                                                                   +   +-------------------------------------------------------------------+   + Variable: K (128-bit key for AES-CMAC)                            +   +                                                                   +   + Step 1.   If VKlen is equal to 16                                 +   + Step 1a.  then                                                    +   +               K := VK;                                            +   + Step 1b.  else                                                    +   +               K := AES-CMAC(0^128, VK, VKlen);                    +   + Step 2.   PRV := AES-CMAC(K, M, len);                             +   +           return PRV;                                             +   +                                                                   +   +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++                 Figure 1.  The AES-CMAC-PRF-128 Algorithm   In step 1, the 128-bit key, K, for AES-CMAC is derived as follows:   o If the key, VK, is exactly 128 bits, then we use it as-is.   o If it is longer or shorter than 128 bits, then we derive the key,     K, by applying the AES-CMAC algorithm using the 128-bit all-zero     string as the key and VK as the input message.  This step is     described in step 1b.   In step 2, we apply the AES-CMAC algorithm using K as the key and M   as the input message.  The output of this algorithm is returned.Song, et al.                Standards Track                     [Page 3]

RFC 4615                AES-CMAC-PRF-128 for IKE             August 20064.  Test Vectors   ------------------------------------------------------------   Test Case AES-CMAC-PRF-128 with 20-octet input   Key        : 00010203 04050607 08090a0b 0c0d0e0f edcb   Key Length : 18   Message    : 00010203 04050607 08090a0b 0c0d0e0f 10111213   PRF Output : 84a348a4 a45d235b abfffc0d 2b4da09a   Test Case AES-CMAC-PRF-128 with 20-octet input   Key        : 00010203 04050607 08090a0b 0c0d0e0f   Key Length : 16   Message    : 00010203 04050607 08090a0b 0c0d0e0f 10111213   PRF Output : 980ae87b 5f4c9c52 14f5b6a8 455e4c2d   Test Case AES-CMAC-PRF-128 with 20-octet input   Key        : 00010203 04050607 0809   Key Length : 10   Message    : 00010203 04050607 08090a0b 0c0d0e0f 10111213   PRF Output : 290d9e11 2edb09ee 141fcf64 c0b72f3d   ------------------------------------------------------------5.  Security Considerations   The security provided by AES-CMAC-PRF-128 is based upon the strength   of AES and AES-CMAC. At the time of this writing, there are no known   practical cryptographic attacks against AES or AES-CMAC.  However, as   is true with any cryptographic algorithm, part of its strength lies   in the secret key, VK, and the correctness of the implementation in   all of the participating systems.  The key, VK, needs to be chosen   independently and randomly based onRFC 4086 [RFC4086], and both   keys, VK and K, should be kept safe and periodically refreshed.Section 4 presents test vectors that assist in verifying the   correctness of the AES-CMAC-PRF-128 code.   If VK is longer than 128 bits and it is shortened to meet the AES-128   key size, then some entropy might be lost.  However, as long as VK is   longer than 128 bits, then the new key, K, preserves sufficient   entropy, i.e., the entropy of K is about 128 bits.   Therefore, we recommend the use of VK that is longer than or equal to   128 bits, and we discourage the use of VK that is shorter than or   equal to 64 bits, because of the small entropy.Song, et al.                Standards Track                     [Page 4]

RFC 4615                AES-CMAC-PRF-128 for IKE             August 20066. IANA Considerations   IANA has allocated a value of 8 for IKEv2 Transform Type 2 (Pseudo-   Random Function) to the PRF_AES128_CMAC algorithm.7.  Acknowledgements   Portions of this text were borrowed from [RFC3664] and [RFC4434].   Many thanks to Russ Housley and Paul Hoffman for suggestions and   guidance.  We also thank Alfred Hoenes for many useful comments.   We acknowledge support from the following grants: Collaborative   Technology Alliance (CTA) from US Army Research Laboratory,   DAAD19-01-2-0011; Presidential Award from Army Research Office,-   W911NF-05-1-0491; ONR YIP N00014-04-1-0479.  Results do not reflect   any position of the funding agencies.8.  References8.1.  Normative References   [RFC4493]  Song, JH., Poovendran, R., Lee, J., and T. Iwata, "The              AES-CMAC Algorithm",RFC 4493, June 2006.   [RFC4306]  Kaufman, C., "Internet Key Exchange (IKEv2) Protocol",RFC4306, December 2005.   [RFC4086]  Eastlake, D., 3rd, Schiller, J., and S. Crocker,              "Randomness Requirements for Security",BCP 106,RFC 4086,              June 2005.8.2.  Informative References   [RFC3664]  Hoffman, P., "The AES-XCBC-PRF-128 Algorithm for the              Internet Key Exchange Protocol (IKE)",RFC 3664, January              2004.   [RFC4434]  Hoffman, P., "The AES-XCBC-PRF-128 Algorithm for the              Internet Key Exchange Protocol (IKE)",RFC 4434, February              2006.Song, et al.                Standards Track                     [Page 5]

RFC 4615                AES-CMAC-PRF-128 for IKE             August 2006Authors' Addresses   JunHyuk Song   Samsung Electronics   University of Washington   Phone: (206) 853-5843   EMail: junhyuk.song@samsung.com, junhyuk.song@gmail.com   Radha Poovendran   Network Security Lab   University of Washington   Phone: (206) 221-6512   EMail: radha@ee.washington.edu   Jicheol Lee   Samsung Electronics   Phone: +82-31-279-3605   EMail: jicheol.lee@samsung.com   Tetsu Iwata   Nagoya University   EMail: iwata@cse.nagoya-u.ac.jpSong, et al.                Standards Track                     [Page 6]

RFC 4615                AES-CMAC-PRF-128 for IKE             August 2006Full Copyright Statement   Copyright (C) The Internet Society (2006).   This document is subject to the rights, licenses and restrictions   contained inBCP 78, and except as set forth therein, the authors   retain all their rights.   This document and the information contained herein are provided on an   "AS IS" basis and THE CONTRIBUTOR, THE ORGANIZATION HE/SHE REPRESENTS   OR IS SPONSORED BY (IF ANY), THE INTERNET SOCIETY AND THE INTERNET   ENGINEERING TASK FORCE DISCLAIM ALL WARRANTIES, EXPRESS OR IMPLIED,   INCLUDING BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF THE   INFORMATION HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED   WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.Intellectual Property   The IETF takes no position regarding the validity or scope of any   Intellectual Property Rights or other rights that might be claimed to   pertain to the implementation or use of the technology described in   this document or the extent to which any license under such rights   might or might not be available; nor does it represent that it has   made any independent effort to identify any such rights.  Information   on the procedures with respect to rights in RFC documents can be   found inBCP 78 andBCP 79.   Copies of IPR disclosures made to the IETF Secretariat and any   assurances of licenses to be made available, or the result of an   attempt made to obtain a general license or permission for the use of   such proprietary rights by implementers or users of this   specification can be obtained from the IETF on-line IPR repository athttp://www.ietf.org/ipr.   The IETF invites any interested party to bring to its attention any   copyrights, patents or patent applications, or other proprietary   rights that may cover technology that may be required to implement   this standard.  Please address the information to the IETF at   ietf-ipr@ietf.org.Acknowledgement   Funding for the RFC Editor function is provided by the IETF   Administrative Support Activity (IASA).Song, et al.                Standards Track                     [Page 7]

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