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📄 rfc2945.txt

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RFC 2945        SRP Authentication & Key Exchange System  September 2000   If the server receives a correct response, it issues its own proof to   the client.  The client will compute the expected response using its   own K to verify the authenticity of the server.  If the client   responded correctly, the server MUST respond with its hash value.   The transactions in this protocol description do not necessarily have   a one-to-one correspondence with actual protocol messages.  This   description is only intended to illustrate the relationships between   the different parameters and how they are computed.  It is possible,   for example, for an implementation of the SRP-SHA1 mechanism to   consolidate some of the flows as follows:        Client                             Host       --------                           ------        U, A                        -->                                    <--    s, B        H(H(N) XOR H(g) | H(U) | s | A | B | K)                                    -->                                    <--    H(A | M | K)   The values of N and g used in this protocol must be agreed upon by   the two parties in question.  They can be set in advance, or the host   can supply them to the client.  In the latter case, the host should   send the parameters in the first message along with the salt.  For   maximum security, N should be a safe prime (i.e. a number of the form   N = 2q + 1, where q is also prime).  Also, g should be a generator   modulo N (see [SRP] for details), which means that for any X where 0   < X < N, there exists a value x for which g^x % N == X.3.1.  Interleaved SHA   The SHA_Interleave function used in SRP-SHA1 is used to generate a   session key that is twice as long as the 160-bit output of SHA1.  To   compute this function, remove all leading zero bytes from the input.   If the length of the resulting string is odd, also remove the first   byte.  Call the resulting string T.  Extract the even-numbered bytes   into a string E and the odd-numbered bytes into a string F, i.e.     E = T[0] | T[2] | T[4] | ...     F = T[1] | T[3] | T[5] | ...   Both E and F should be exactly half the length of T.  Hash each one   with regular SHA1, i.e.     G = SHA(E)     H = SHA(F)Wu                          Standards Track                     [Page 5]RFC 2945        SRP Authentication & Key Exchange System  September 2000   Interleave the two hashes back together to form the output, i.e.     result = G[0] | H[0] | G[1] | H[1] | ... | G[19] | H[19]   The result will be 40 bytes (320 bits) long.3.2.  Other Hash Algorithms   SRP can be used with hash functions other than SHA.  If the hash   function produces an output of a different length than SHA (20   bytes), it may change the length of some of the messages in the   protocol, but the fundamental operation will be unaffected.   Earlier versions of the SRP mechanism used the MD5 hash function,   described in [RFC 1321].  Keyed hash transforms are also recommended   for use with SRP; one possible construction uses HMAC [RFC 2104],   using K to key the hash in each direction instead of concatenating it   with the other parameters.   Any hash function used with SRP should produce an output of at least   16 bytes and have the property that small changes in the input cause   significant nonlinear changes in the output.  [SRP] covers these   issues in more depth.4. Security Considerations   This entire memo discusses an authentication and key-exchange system   that protects passwords and exchanges keys across an untrusted   network.  This system improves security by eliminating the need to   send cleartext passwords over the network and by enabling encryption   through its secure key-exchange mechanism.   The private values for a and b correspond roughly to the private   values in a Diffie-Hellman exchange and have similar constraints of   length and entropy.  Implementations may choose to increase the   length of the parameter u, as long as both client and server agree,   but it is not recommended that it be shorter than 32 bits.   SRP has been designed not only to counter the threat of casual   password-sniffing, but also to prevent a determined attacker equipped   with a dictionary of passwords from guessing at passwords using   captured network traffic.  The SRP protocol itself also resists   active network attacks, and implementations can use the securely   exchanged keys to protect the session against hijacking and provide   confidentiality.Wu                          Standards Track                     [Page 6]RFC 2945        SRP Authentication & Key Exchange System  September 2000   SRP also has the added advantage of permitting the host to store   passwords in a form that is not directly useful to an attacker.  Even   if the host's password database were publicly revealed, the attacker   would still need an expensive dictionary search to obtain any   passwords.  The exponential computation required to validate a guess   in this case is much more time-consuming than the hash currently used   by most UNIX systems.  Hosts are still advised, though, to try their   best to keep their password files secure.5. References   [RFC 1321]  Rivest, R., "The MD5 Message-Digest Algorithm", RFC 1321,               April 1992.   [RFC 1704]  Haller, N. and R. Atkinson, "On Internet Authentication",               RFC 1704, October 1994.   [RFC 1760]  Haller, N., "The S/Key One-Time Password System", RFC               1760, Feburary 1995.   [RFC 2095]  Klensin, J., Catoe, R. and P. Krumviede, "IMAP/POP               AUTHorize Extension for Simple Challenge/Response", RFC               2095, January 1997.   [RFC 2104]  Krawczyk, H., Bellare, M. and  R. Canetti, "HMAC: Keyed-               Hashing for Message Authentication", RFC 2104, February               1997.   [SHA1]      National Institute of Standards and Technology (NIST),               "Announcing the Secure Hash Standard", FIPS 180-1, U.S.               Department of Commerce, April 1995.   [SRP]       T. Wu, "The Secure Remote Password Protocol", In               Proceedings of the 1998 Internet Society Symposium on               Network and Distributed Systems Security, San Diego, CA,               pp. 97-111.6. Author's Address   Thomas Wu   Stanford University   Stanford, CA 94305   EMail: tjw@cs.Stanford.EDUWu                          Standards Track                     [Page 7]RFC 2945        SRP Authentication & Key Exchange System  September 20007.  Full Copyright Statement   Copyright (C) The Internet Society (2000).  All Rights Reserved.   This document and translations of it may be copied and furnished to   others, and derivative works that comment on or otherwise explain it   or assist in its implementation may be prepared, copied, published   and distributed, in whole or in part, without restriction of any   kind, provided that the above copyright notice and this paragraph are   included on all such copies and derivative works.  However, this   document itself may not be modified in any way, such as by removing   the copyright notice or references to the Internet Society or other   Internet organizations, except as needed for the purpose of   developing Internet standards in which case the procedures for   copyrights defined in the Internet Standards process must be   followed, or as required to translate it into languages other than   English.   The limited permissions granted above are perpetual and will not be   revoked by the Internet Society or its successors or assigns.   This document and the information contained herein is provided on an   "AS IS" basis and THE INTERNET SOCIETY AND THE INTERNET ENGINEERING   TASK FORCE DISCLAIMS 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.Acknowledgement   Funding for the RFC Editor function is currently provided by the   Internet Society.Wu                          Standards Track                     [Page 8]

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