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-Transport Layer Security Working D. Taylor
-Group Forge Research Pty Ltd
-Internet-Draft November 29, 2002
-Expires: May 30, 2003
-
-
- Using SRP for TLS Authentication
- draft-ietf-tls-srp-04
-
-Status of this Memo
-
- This document is an Internet-Draft and is in full conformance with
- all provisions of Section 10 of RFC2026.
-
- Internet-Drafts are working documents of the Internet Engineering
- Task Force (IETF), its areas, and its working groups. Note that
- other groups may also distribute working documents as Internet-
- Drafts.
-
- 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."
-
- The list of current Internet-Drafts can be accessed at http://
- www.ietf.org/ietf/1id-abstracts.txt.
-
- The list of Internet-Draft Shadow Directories can be accessed at
- http://www.ietf.org/shadow.html.
-
- This Internet-Draft will expire on May 30, 2003.
-
-Copyright Notice
-
- Copyright (C) The Internet Society (2002). All Rights Reserved.
-
-Abstract
-
- This memo presents a technique for using the SRP [2] (Secure Remote
- Password) protocol as an authentication method for the TLS
- [1](Transport Layer Security) protocol.
-
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-Table of Contents
-
- 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 3
- 2. SRP Authentication in TLS . . . . . . . . . . . . . . . . . 4
- 2.1 Modifications to the TLS Handshake Sequence . . . . . . . . 4
- 2.1.1 Message Sequence . . . . . . . . . . . . . . . . . . . . . . 4
- 2.1.2 Session Re-use . . . . . . . . . . . . . . . . . . . . . . . 4
- 2.2 SRP Verifier Message Digest Selection . . . . . . . . . . . 5
- 2.3 Changes to the Handshake Message Contents . . . . . . . . . 5
- 2.3.1 Client hello . . . . . . . . . . . . . . . . . . . . . . . . 5
- 2.3.2 Server certificate . . . . . . . . . . . . . . . . . . . . . 5
- 2.3.3 Server key exchange . . . . . . . . . . . . . . . . . . . . 5
- 2.3.4 Client key exchange . . . . . . . . . . . . . . . . . . . . 6
- 2.4 Calculating the Pre-master Secret . . . . . . . . . . . . . 6
- 2.5 Cipher Suite Definitions . . . . . . . . . . . . . . . . . . 6
- 2.6 New Message Structures . . . . . . . . . . . . . . . . . . . 7
- 2.6.1 ExtensionType . . . . . . . . . . . . . . . . . . . . . . . 7
- 2.6.2 Client Hello . . . . . . . . . . . . . . . . . . . . . . . . 7
- 2.6.3 Server Key Exchange . . . . . . . . . . . . . . . . . . . . 7
- 2.6.4 Client Key Exchange . . . . . . . . . . . . . . . . . . . . 9
- 3. Security Considerations . . . . . . . . . . . . . . . . . . 10
- References . . . . . . . . . . . . . . . . . . . . . . . . . 11
- Author's Address . . . . . . . . . . . . . . . . . . . . . . 11
- A. Acknowledgements . . . . . . . . . . . . . . . . . . . . . . 12
- Full Copyright Statement . . . . . . . . . . . . . . . . . . 13
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-1. Introduction
-
- At the time of writing, TLS uses public key certificiates with RSA/
- DSA digital signatures, or Kerberos, for authentication.
-
- These authentication methods do not seem well suited to the
- applications now being adapted to use TLS (IMAP [4], FTP [6], or
- TELNET [7], for example). Given these protocols (and others like
- them) are designed to use the user name and password method of
- authentication, being able to safely use user names and passwords to
- authenticate the TLS connection provides a much easier route to
- additional security than implementing a public key infrastructure in
- certain situations.
-
- SRP is an authentication method that allows the use of user names and
- passwords over unencrypted channels without revealing the password to
- an eavesdropper. SRP also supplies a shared secret at the end of the
- authetication sequence that can be used to generate encryption keys.
-
- This document describes the use of the SRP authentication method for
- TLS.
-
- 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 RFC 2119.
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-2. SRP Authentication in TLS
-
-2.1 Modifications to the TLS Handshake Sequence
-
- The advent of SRP-6 [3] allows the SRP protocol to be implemented
- using the standard sequence of handshake messages defined in [1].
-
- The parameters to various messages are given in the following
- diagram.
-
-2.1.1 Message Sequence
-
- Handshake Message Flow for SRP Authentication
-
- Client Server
- | |
- Client Hello (I) ------------------------> |
- | <---------------------------- Server Hello
- | <---------------------------- Certificate*
- | <---------------------------- Server Key Exchange (N, g, s, B)
- | <---------------------------- Server Hello Done
- Client Key Exchange (A) -----------------> |
- [Change cipher spec] |
- Finished --------------------------------> |
- | [Change cipher spec]
- | <---------------------------- Finished
- | |
- Application Data <--------------> Application Data
-
- * Indicates optional or situation-dependent messages that are not
- always sent.
-
- The identifiers given after each message name refer to the SRP
- variables included in that message. The variables I, N, g, s, A, and
- B are defined in [3].
-
- An extended client hello message, as defined in [8], is used to send
- the client identifier (the user name).
-
- Servers MAY add an SRP extension to the server hello message. For
- the cipher suites defined in this document no information is carried
- in the SRP extension in the server hello message. The option to add
- an SRP extension to the server hello message is given in case it is
- required in future.
-
-2.1.2 Session Re-use
-
- The short handshake mechanism for re-using sessions for new
-
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- connections, and renegotiating keys for existing connections will
- still work with the SRP authentication mechanism and handshake.
-
- When a client attemps to re-use a session that uses SRP
- authentication, it MUST include the SRP extension carrying the user
- name (I) in the client hello message, in case the server cannot or
- will not allow re-use of the session, meaning a full handshake
- sequence is required.
-
- If the server does agree to re-use an existing session the server
- MUST ignore the information in the SRP extension of the client hello
- message, except for its inclusion in the finished message hashes.
- This is to ensure attackers cannot replace the authenticated identity
- without supplying the proper authentication information.
-
-2.2 SRP Verifier Message Digest Selection
-
- Implementations conforming to this document MUST use the SHA-1
- message digest with the SRP algorithm.
-
-2.3 Changes to the Handshake Message Contents
-
- This section describes the changes to the TLS handshake message
- contents when SRP is being used for authentication. The definitions
- of the new message contents and the on-the-wire changes are given in
- Section 2.6.
-
-2.3.1 Client hello
-
- The user name is appended to the standard client hello message using
- the hello message extension mechanism defined in [8].
-
-2.3.2 Server certificate
-
- The server MUST send a certificate if it agrees to an SRP cipher
- suite that requires the server to provide additional authentication
- in the form of a digital signature. See Section 2.5 for details of
- which ciphersuites defined in this document require a server
- certificate to be sent.
-
- Because the server's certificate is only used for generating a
- digital signature in SRP cipher suites, the certificate sent MUST
- contain a public key that can be used for generating digital
- signatures.
-
-2.3.3 Server key exchange
-
- The server key exchange message contains the prime (N), the generator
-
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- (g), and the salt value (s) read from the SRP password file based on
- the value of (I) received in the client hello extension. The server
- key exchange message also contains the server's public key (B).
-
- If the server has sent a certificate message, the server key exchange
- message MUST be signed.
-
-2.3.4 Client key exchange
-
- The client key exchange message carries the client's public key (A).
-
-2.4 Calculating the Pre-master Secret
-
- The shared secret resulting from the SRP calculations (S) (defined in
- [2]) is used as the pre-master secret.
-
- The finished messages perform the same function as the client and
- server evidence messages (M1 and M2) specified in [2]. If either the
- client or the server calculate an incorrect value, the finished
- messages will not be understood, and the connection will be dropped
- as specified in [1].
-
-2.5 Cipher Suite Definitions
-
- The following cipher suites are added by this draft. The usage of
- AES ciphersuites is as defined in [5].
-
- CipherSuite TLS_SRP_SHA_WITH_3DES_EDE_CBC_SHA = { 0x00,0x50 };
-
- CipherSuite TLS_SRP_SHA_RSA_WITH_3DES_EDE_CBC_SHA = { 0x00,0x51 };
-
- CipherSuite TLS_SRP_SHA_DSS_WITH_3DES_EDE_CBC_SHA = { 0x00,0x52 };
-
- CipherSuite TLS_SRP_SHA_WITH_AES_128_CBC_SHA = { 0x00,0x53 };
-
- CipherSuite TLS_SRP_SHA_RSA_WITH_AES_128_CBC_SHA = { 0x00,0x54 };
-
- CipherSuite TLS_SRP_SHA_DSS_WITH_AES_128_CBC_SHA = { 0x00,0x55 };
-
- CipherSuite TLS_SRP_SHA_WITH_AES_256_CBC_SHA = { 0x00,0x56 };
-
- CipherSuite TLS_SRP_SHA_RSA_WITH_AES_256_CBC_SHA = { 0x00,0x57 };
-
- CipherSuite TLS_SRP_SHA_DSS_WITH_AES_256_CBC_SHA = { 0x00,0x58 };
-
- Cipher suites that do not include a digitial signature algorithm
- identifier assume the server is authenticated by its possesion of the
- SRP database.
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- Cipher suites that begin with TLS_SRP_SHA_RSA or TLS_SRP_SHA_DSS
- require the server to send a certificate message containing a
- certificate with the specified type of public key, and to sign the
- server key exchange message using a matching private key.
-
- Implementations conforming to this specification MUST implement the
- TLS_SRP_SHA_WITH_3DES_EDE_CBC_SHA ciphersuite, SHOULD implement the
- TLS_SRP_SHA_WITH_AES_128_CBC_SHA and TLS_SRP_SHA_WITH_AES_256_CBC_SHA
- ciphersuites, and MAY implement the remaining ciphersuites.
-
-2.6 New Message Structures
-
- This section shows the structure of the messages passed during a
- handshake that uses SRP for authentication. The representation
- language used is the same as that used in [1].
-
-2.6.1 ExtensionType
-
- A new value, "srp(6)", has been added to the enumerated
- ExtensionType, defined in [8]. This value MUST be used as the
- extension number for the SRP extension.
-
-2.6.2 Client Hello
-
- The user name (I) is encoded in an SRPExtension structure, and sent
- in an extended client hello message, using an extension of type
- "srp".
-
-
- enum { client, server } ClientOrServerExtension;
-
- struct {
- select(ClientOrServerExtension) {
- case client:
- opaque srp_I<1..2^8-1>;
- case server:
- /* empty struct */
- }
- } SRPExtension;
-
-
-2.6.3 Server Key Exchange
-
- When the value of KeyExchangeAlgorithm is set to "srp", the server's
- SRP parameters are sent in the server key exchange message, encoded
- in a ServerSRPParams structure.
-
- If a certificate is sent to the client the server key exchange
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- message must be signed. The following table gives the
- SignatureAlgorithm value to be used for each ciphersuite.
-
- Ciphersuite SignatureAlgorithm
-
- TLS_SRP_SHA_WITH_3DES_EDE_CBC_SHA anonymous
-
- TLS_SRP_SHA_RSA_WITH_3DES_EDE_CBC_SHA rsa
-
- TLS_SRP_SHA_DSS_WITH_3DES_EDE_CBC_SHA dsa
-
- TLS_SRP_SHA_WITH_AES_128_CBC_SHA anonymous
-
- TLS_SRP_SHA_RSA_WITH_AES_128_CBC_SHA rsa
-
- TLS_SRP_SHA_DSS_WITH_AES_128_CBC_SHA dsa
-
- TLS_SRP_SHA_WITH_AES_256_CBC_SHA anonymous
-
- TLS_SRP_SHA_RSA_WITH_AES_256_CBC_SHA rsa
-
- TLS_SRP_SHA_DSS_WITH_AES_256_CBC_SHA dsa
-
-
- struct {
- select (KeyExchangeAlgorithm) {
- case diffie_hellman:
- ServerDHParams params;
- Signature signed_params;
- case rsa:
- ServerRSAParams params;
- Signature signed_params;
- case srp: /* new entry */
- ServerSRPParams params;
- Signature signed_params;
- };
- } ServerKeyExchange;
-
- struct {
- opaque srp_N<1..2^16-1>;
- opaque srp_g<1..2^16-1>;
- opaque srp_s<1..2^8-1>
- opaque srp_B<1..2^16-1>;
- } ServerSRPParams; /* SRP parameters */
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-2.6.4 Client Key Exchange
-
- When the value of KeyExchangeAlgorithm is set to "srp", the client's
- ephemeral public key (A) is sent in the client key exchange message,
- encoded in an ClientSRPPublic structure.
-
- An extra value, srp, has been added to the enumerated
- KeyExchangeAlgorithm, originally defined in TLS [1].
-
- struct {
- select (KeyExchangeAlgorithm) {
- case rsa: EncryptedPreMasterSecret;
- case diffie_hellman: ClientDiffieHellmanPublic;
- case srp: ClientSRPPublic; /* new entry */
- } exchange_keys;
- } ClientKeyExchange;
-
- enum { rsa, diffie_hellman, srp } KeyExchangeAlgorithm;
-
- struct {
- opaque srp_A<1..2^16-1>;
- } ClientSRPPublic;
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-3. Security Considerations
-
- If an attacker is able to steal the SRP verifier file, the attacker
- can masquerade as the real host. Filesystem based X.509 certificate
- installations are vulnerable to a similar attack unless the server's
- certificate is issued from a PKI that maintains revocation lists, and
- the client TLS code can both contact the PKI and make use of the
- revocation list.
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-References
-
- [1] Dierks, T. and C. Allen, "The TLS Protocol", RFC 2246, January
- 1999.
-
- [2] Wu, T., "The SRP Authentication and Key Exchange System", RFC
- 2945, September 2000.
-
- [3] Wu, T., "SRP-6: Improvements and Refinements to the Secure
- Remote Password Protocol", October 2002.
-
- [4] Newman, C., "Using TLS with IMAP, POP3 and ACAP", RFC 2595, June
- 1999.
-
- [5] Chown, P., "Advanced Encryption Standard (AES) Ciphersuites for
- Transport Layer Security (TLS)", RFC 3268, June 2002.
-
- [6] Ford-Hutchinson, P., Carpenter, M., Hudson, T., Murray, E. and
- V. Wiegand, "Securing FTP with TLS", draft-murray-auth-ftp-ssl-
- 09 (work in progress), April 2002.
-
- [7] Boe, M. and J. Altman, "TLS-based Telnet Security", draft-ietf-
- tn3270e-telnet-tls-06 (work in progress), April 2002.
-
- [8] Blake-Wilson, S., Nystrom, M., Hopwood, D., Mikkelsen, J. and T.
- Wright, "TLS Extensions", draft-ietf-tls-extensions-05 (work in
- progress), July 2002.
-
-
-Author's Address
-
- David Taylor
- Forge Research Pty Ltd
-
- EMail: DavidTaylor@forge.com.au
- URI: http://www.forge.com.au/
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-Appendix A. Acknowledgements
-
- Thanks to all on the IETF tls mailing list for ideas and analysis.
-
- Thanks to Tom Wu for adapting the SRP protocol so it fits the
- standard TLS handshake message sequence.
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-Full Copyright Statement
-
- Copyright (C) The Internet Society (2002). 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.
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--- /dev/null
+
+
+
+TLS Working Group D. Taylor
+Internet-Draft Forge Research Pty Ltd
+Expires: December 16, 2003 T. Wu
+ Arcot Systems
+ N. Mavroyanopoulos
+ T. Perrin
+ June 17, 2003
+
+
+ Using SRP for TLS Authentication
+ draft-ietf-tls-srp-05
+
+Status of this Memo
+
+ This document is an Internet-Draft and is in full conformance with
+ all provisions of Section 10 of RFC2026.
+
+ Internet-Drafts are working documents of the Internet Engineering
+ Task Force (IETF), its areas, and its working groups. Note that other
+ groups may also distribute working documents as Internet-Drafts.
+
+ 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."
+
+ The list of current Internet-Drafts can be accessed at http://
+ www.ietf.org/ietf/1id-abstracts.txt.
+
+ The list of Internet-Draft Shadow Directories can be accessed at
+ http://www.ietf.org/shadow.html.
+
+ This Internet-Draft will expire on December 16, 2003.
+
+Copyright Notice
+
+ Copyright (C) The Internet Society (2003). All Rights Reserved.
+
+Abstract
+
+ This memo presents a technique for using the SRP [2] (Secure Remote
+ Password) protocol as an authentication method for the TLS
+ [1](Transport Layer Security) protocol.
+
+
+
+
+
+
+
+
+
+Taylor, et al. Expires December 16, 2003 [Page 1]
+\f
+Internet-Draft Using SRP for TLS Authentication June 2003
+
+
+Table of Contents
+
+ 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 3
+ 2. SRP Authentication in TLS . . . . . . . . . . . . . . . . . 4
+ 2.1 Modifications to the TLS Handshake Sequence . . . . . . . . 4
+ 2.1.1 Message Sequence . . . . . . . . . . . . . . . . . . . . . . 4
+ 2.1.2 Session Re-use . . . . . . . . . . . . . . . . . . . . . . . 4
+ 2.2 Text Preparation . . . . . . . . . . . . . . . . . . . . . . 5
+ 2.3 SRP Verifier Creation . . . . . . . . . . . . . . . . . . . 5
+ 2.4 Changes to the Handshake Message Contents . . . . . . . . . 5
+ 2.4.1 Client hello . . . . . . . . . . . . . . . . . . . . . . . . 5
+ 2.4.2 Server certificate . . . . . . . . . . . . . . . . . . . . . 6
+ 2.4.3 Server key exchange . . . . . . . . . . . . . . . . . . . . 6
+ 2.4.4 Client key exchange . . . . . . . . . . . . . . . . . . . . 7
+ 2.5 Calculating the Pre-master Secret . . . . . . . . . . . . . 7
+ 2.6 Cipher Suite Definitions . . . . . . . . . . . . . . . . . . 7
+ 2.7 New Message Structures . . . . . . . . . . . . . . . . . . . 8
+ 2.7.1 ExtensionType . . . . . . . . . . . . . . . . . . . . . . . 8
+ 2.7.2 Client Hello . . . . . . . . . . . . . . . . . . . . . . . . 8
+ 2.7.3 Server Key Exchange . . . . . . . . . . . . . . . . . . . . 8
+ 2.7.4 Client Key Exchange . . . . . . . . . . . . . . . . . . . . 9
+ 2.8 Error Alerts . . . . . . . . . . . . . . . . . . . . . . . . 10
+ 3. Security Considerations . . . . . . . . . . . . . . . . . . 11
+ References . . . . . . . . . . . . . . . . . . . . . . . . . 12
+ Authors' Addresses . . . . . . . . . . . . . . . . . . . . . 13
+ A. SRP Group Parameters . . . . . . . . . . . . . . . . . . . . 14
+ B. Acknowledgements . . . . . . . . . . . . . . . . . . . . . . 18
+ Intellectual Property and Copyright Statements . . . . . . . 19
+
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+Taylor, et al. Expires December 16, 2003 [Page 2]
+\f
+Internet-Draft Using SRP for TLS Authentication June 2003
+
+
+1. Introduction
+
+ At the time of writing TLS uses public key certificates, or Kerberos,
+ for authentication.
+
+ These authentication methods do not seem well suited to the
+ applications now being adapted to use TLS (IMAP [4], FTP [8], or
+ TELNET [9], for example). Given that these protocols (and others like
+ them) are designed to use the user name and password method of
+ authentication, being able to safely use user names and passwords to
+ authenticate the TLS connection provides a much easier route to
+ additional security than implementing a public key infrastructure in
+ certain situations.
+
+ SRP is an authentication method that allows the use of user names and
+ passwords over unencrypted channels without revealing the password to
+ an eavesdropper. SRP also supplies a shared secret at the end of the
+ authentication sequence that can be used to generate encryption keys.
+
+ This document describes the use of the SRP authentication method for
+ TLS.
+
+ 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 RFC 2119.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
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+
+2. SRP Authentication in TLS
+
+2.1 Modifications to the TLS Handshake Sequence
+
+ The advent of SRP-6 [3] allows the SRP protocol to be implemented
+ using the standard sequence of handshake messages defined in [1].
+
+ The parameters to various messages are given in the following
+ diagram.
+
+2.1.1 Message Sequence
+
+ Handshake Message Flow for SRP Authentication
+
+ Client Server
+ | |
+ Client Hello (I) ------------------------> |
+ | <---------------------------- Server Hello
+ | <---------------------------- Certificate*
+ | <---------------------------- Server Key Exchange (N, g, s, B)
+ | <---------------------------- Server Hello Done
+ Client Key Exchange (A) -----------------> |
+ [Change cipher spec] |
+ Finished --------------------------------> |
+ | [Change cipher spec]
+ | <---------------------------- Finished
+ | |
+ Application Data <--------------> Application Data
+
+ * Indicates optional or situation-dependent messages that are not
+ always sent.
+
+ Figure 1
+
+ The identifiers given after each message name refer to the SRP
+ variables included in that message. The variables I, N, g, s, A, and
+ B are defined in [3].
+
+ An extended client hello message, as defined in [10], is used to send
+ the client identifier (the user name).
+
+2.1.2 Session Re-use
+
+ The short handshake mechanism for re-using sessions for new
+ connections, and renegotiating keys for existing connections will
+ still work with the SRP authentication mechanism and handshake.
+
+ When a client attemps to re-use a session that uses SRP
+
+
+
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+
+ authentication, it MUST include the SRP extension carrying the user
+ name (I) in the client hello message, in case the server cannot or
+ will not allow re-use of the session, meaning a full handshake
+ sequence is required.
+
+ If the server does agree to re-use an existing session the server
+ MUST ignore the information in the SRP extension of the client hello
+ message, except for its inclusion in the finished message hashes.
+ This is to ensure attackers cannot replace the authenticated identity
+ without supplying the proper authentication information.
+
+2.2 Text Preparation
+
+ The user name and password strings shall be UTF-8 encoded Unicode,
+ prepared using the "SASLprep" [7] profile of "stringprep" [6].
+
+2.3 SRP Verifier Creation
+
+ The verifier is created by applying the SRP-SHA1 mechanism as
+ described in RFC 2945 [2] to the user name and password.
+
+2.4 Changes to the Handshake Message Contents
+
+ This section describes the changes to the TLS handshake message
+ contents when SRP is being used for authentication. The definitions
+ of the new message contents and the on-the-wire changes are given in
+ Section 2.7.
+
+2.4.1 Client hello
+
+ The user name is appended to the standard client hello message using
+ the hello message extension mechanism defined in [10].
+
+ The client may offer SRP ciphersuites in the hello message but omit
+ the SRP extension. If the server would like to select an SRP
+ ciphersuite in this case, the server will return a
+ missing_srp_username alert (see Section 2.8) immediately after
+ processing the client hello message. This alert signals the client
+ to resend the hello message, this time with the SRP extension.
+ Through this idiom, the client can advertise that it supports SRP,
+ but not have to prompt the user for his user name and password, nor
+ expose the user name in the clear, unless necessary.
+
+ If the server doesn't have a verifier for the given user name, the
+ server MAY abort the handshake with an unknown_srp_username alert
+ (see Section 2.8). Alternatively, if the server wishes to hide the
+ fact that this user name doesn't have a verifier, the server MAY
+ simulate the protocol as if a verifier existed, but then reject the
+
+
+
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+
+ client's finished message as if the password was incorrect.
+
+ To simulate the existence of an entry for each user name, the server
+ must consistently return the same salt (s) and group (g, N) values
+ for the same user name. For example, the server could store a secret
+ "seed key" and then use hmac-sha1(seed_key, "salt" || user_name) to
+ generate the salts. For B, the server can return a random value
+ between 2 and N-2 inclusive. However, the server should take care to
+ simulate computation delays. One way to do this is to generate a
+ fake verifier using the "seed key" approach, and then proceed with
+ the protocol as usual.
+
+2.4.2 Server certificate
+
+ The server MUST send a certificate if it agrees to an SRP cipher
+ suite that requires the server to provide additional authentication
+ in the form of a digital signature. See Section 2.6 for details of
+ which ciphersuites defined in this document require a server
+ certificate to be sent.
+
+ Because the server's certificate is only used for generating a
+ digital signature in SRP cipher suites, the certificate sent MUST
+ contain a public key that can be used for verifying digital
+ signatures.
+
+2.4.3 Server key exchange
+
+ The server key exchange message contains the prime (N), the generator
+ (g), and the salt value (s) read from the SRP password file based on
+ the value of (I) received in the client hello extension. The server
+ key exchange message also contains the server's public value (B).
+
+ If the server has sent a certificate message, the server key exchange
+ message MUST be signed.
+
+ The group parameters (g, N) sent in this message MUST have N as a
+ safe prime (a prime of the form N=2q+1, where q is also prime), and g
+ as a generator % N. The SRP group parameters in Appendix A are
+ proven to have these properties, so the client SHOULD accept any
+ parameters from this Appendix which have large enough moduli to meet
+ his security requirements. The client MAY accept other group
+ parameters from the server, either by prior arrangement, or by
+ checking the parameters himself.
+
+ To check that N is a safe prime, the client should use some method
+ such as performing 64 iterations of the Miller-Rabin test with random
+ bases (selected from 2 to N-2) on both N and q (by performing 64
+ iterations, the probability of a false positive is no more than
+
+
+
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+
+ 2^-128). To check that g is a generator % N, the client can check
+ that g^q equals -1 % N. Performing these checks may be
+ time-consuming: after checking new parameters, the client may want to
+ add them to a known-good list.
+
+ Group parameters that are not accepted via one of the above methods
+ MUST be rejected with an illegal_parameter alert.
+
+ The client MUST abort the handshake with an illegal_parameter alert
+ if B % N is equal to zero.
+
+2.4.4 Client key exchange
+
+ The client key exchange message carries the client's public value
+ (A).
+
+ The server MUST abort the handshake with an illegal_parameter alert
+ if A % N is equal to zero, 1, or -1.
+
+2.5 Calculating the Pre-master Secret
+
+ The shared secret resulting from the SRP calculations (S) (defined in
+ [2]) is used as the pre-master secret.
+
+ The finished messages perform the same function as the client and
+ server evidence messages (M1 and M2) specified in [2]. If either the
+ client or the server calculate an incorrect value, the finished
+ messages will not be understood, and the connection will be dropped
+ as specified in [1].
+
+2.6 Cipher Suite Definitions
+
+ The following cipher suites are added by this draft. The usage of AES
+ ciphersuites is as defined in [5].
+
+ CipherSuite TLS_SRP_SHA_WITH_3DES_EDE_CBC_SHA = { 0x00,0x50 };
+
+ CipherSuite TLS_SRP_SHA_RSA_WITH_3DES_EDE_CBC_SHA = { 0x00,0x51 };
+
+ CipherSuite TLS_SRP_SHA_DSS_WITH_3DES_EDE_CBC_SHA = { 0x00,0x52 };
+
+ CipherSuite TLS_SRP_SHA_WITH_AES_128_CBC_SHA = { 0x00,0x53 };
+
+ CipherSuite TLS_SRP_SHA_RSA_WITH_AES_128_CBC_SHA = { 0x00,0x54 };
+
+ CipherSuite TLS_SRP_SHA_DSS_WITH_AES_128_CBC_SHA = { 0x00,0x55 };
+
+ CipherSuite TLS_SRP_SHA_WITH_AES_256_CBC_SHA = { 0x00,0x56 };
+
+
+
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+
+ CipherSuite TLS_SRP_SHA_RSA_WITH_AES_256_CBC_SHA = { 0x00,0x57 };
+
+ CipherSuite TLS_SRP_SHA_DSS_WITH_AES_256_CBC_SHA = { 0x00,0x58 };
+
+ Cipher suites that do not include a digital signature algorithm
+ identifier assume the server is authenticated by its possesion of the
+ SRP verifier.
+
+ Cipher suites that begin with TLS_SRP_SHA_RSA or TLS_SRP_SHA_DSS
+ require the server to send a certificate message containing a
+ certificate with the specified type of public key, and to sign the
+ server key exchange message using a matching private key.
+
+ Implementations conforming to this specification MUST implement the
+ TLS_SRP_SHA_WITH_3DES_EDE_CBC_SHA ciphersuite, SHOULD implement the
+ TLS_SRP_SHA_WITH_AES_128_CBC_SHA and TLS_SRP_SHA_WITH_AES_256_CBC_SHA
+ ciphersuites, and MAY implement the remaining ciphersuites.
+
+2.7 New Message Structures
+
+ This section shows the structure of the messages passed during a
+ handshake that uses SRP for authentication. The representation
+ language used is the same as that used in [1].
+
+2.7.1 ExtensionType
+
+ A new value, "srp(6)", has been added to the enumerated
+ ExtensionType, defined in [10]. This value MUST be used as the
+ extension number for the SRP extension.
+
+2.7.2 Client Hello
+
+ The "extension_data" field of the srp extension SHALL contain: opaque
+ srp_I<1..2^8-1> where srp_I is the user name.
+
+2.7.3 Server Key Exchange
+
+ When the value of KeyExchangeAlgorithm is set to "srp", the server's
+ SRP parameters are sent in the server key exchange message, encoded
+ in a ServerSRPParams structure.
+
+ If a certificate is sent to the client the server key exchange
+ message must be signed. The following table gives the
+ SignatureAlgorithm value to be used for each ciphersuite.
+
+ Ciphersuite SignatureAlgorithm
+
+ TLS_SRP_SHA_WITH_3DES_EDE_CBC_SHA anonymous
+
+
+
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+
+ TLS_SRP_SHA_RSA_WITH_3DES_EDE_CBC_SHA rsa
+
+ TLS_SRP_SHA_DSS_WITH_3DES_EDE_CBC_SHA dsa
+
+ TLS_SRP_SHA_WITH_AES_128_CBC_SHA anonymous
+
+ TLS_SRP_SHA_RSA_WITH_AES_128_CBC_SHA rsa
+
+ TLS_SRP_SHA_DSS_WITH_AES_128_CBC_SHA dsa
+
+ TLS_SRP_SHA_WITH_AES_256_CBC_SHA anonymous
+
+ TLS_SRP_SHA_RSA_WITH_AES_256_CBC_SHA rsa
+
+ TLS_SRP_SHA_DSS_WITH_AES_256_CBC_SHA dsa
+
+
+ struct {
+ select (KeyExchangeAlgorithm) {
+ case diffie_hellman:
+ ServerDHParams params;
+ Signature signed_params;
+ case rsa:
+ ServerRSAParams params;
+ Signature signed_params;
+ case srp: /* new entry */
+ ServerSRPParams params;
+ Signature signed_params;
+ };
+ } ServerKeyExchange;
+
+ struct {
+ opaque srp_N<1..2^16-1>;
+ opaque srp_g<1..2^16-1>;
+ opaque srp_s<1..2^8-1>
+ opaque srp_B<1..2^16-1>;
+ } ServerSRPParams; /* SRP parameters */
+
+
+2.7.4 Client Key Exchange
+
+ When the value of KeyExchangeAlgorithm is set to "srp", the client's
+ public value (A) is sent in the client key exchange message, encoded
+ in an ClientSRPPublic structure.
+
+ An extra value, srp, has been added to the enumerated
+ KeyExchangeAlgorithm, originally defined in TLS [1].
+
+
+
+
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+
+ struct {
+ select (KeyExchangeAlgorithm) {
+ case rsa: EncryptedPreMasterSecret;
+ case diffie_hellman: ClientDiffieHellmanPublic;
+ case srp: ClientSRPPublic; /* new entry */
+ } exchange_keys;
+ } ClientKeyExchange;
+
+ enum { rsa, diffie_hellman, srp } KeyExchangeAlgorithm;
+
+ struct {
+ opaque srp_A<1..2^16-1>;
+ } ClientSRPPublic;
+
+
+2.8 Error Alerts
+
+ Two new error alerts are defined:
+
+ o "unknown_srp_username" (120) - this alert MAY be sent by a server
+ that receives an unknown user name. This message is always fatal.
+
+ o "missing_srp_username" (121) - this alert MUST be sent by a server
+ which would like to select an offered SRP ciphersuite, if the SRP
+ extension is absent from the client's hello message. This alert
+ may be fatal or a warning. If it is a warning, the server MUST
+ restart its handshake protocol without closing the TLS session,
+ and the client MAY either treat the warning as fatal and close the
+ session, or send the server a new hello message on the same
+ session. By sending a new hello on the same session, the client
+ can use the idiom described in 2.3.1 without terminating a current
+ TLS session which might be protecting the handshake (and thus the
+ user name).
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
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+
+3. Security Considerations
+
+ If an attacker is able to steal the SRP verifier file, the attacker
+ can masquerade as the real server, and can also use dictionary
+ attacks to recover client passwords. Filesystem based X.509
+ certificate installations are vulnerable to a similar attack unless
+ the server's certificate is issued from a PKI that maintains
+ revocation lists, and the client TLS code can both contact the PKI
+ and make use of the revocation list.
+
+ The client's user name is sent in the clear in the Client Hello
+ message. To avoid sending the user name in the clear, the client
+ could first open a conventional anonymous, or server-authenticated
+ session, then renegotiate an SRP-authenticated session with the
+ handshake protected by the first session.
+
+ The checks described in Section 2.4.3 and Section 2.4.4 on the
+ received values for A and B are crucial for security and MUST be
+ performed.
+
+ The private exponentials (a and b in [2]) SHOULD be at least 256 bit
+ random numbers, to give approximately 128 bits of security against
+ certain methods of calculating discrete logarithms [12]. Increasing
+ the length of these exponentials may increase security, but it also
+ increases the computation cost."
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
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+
+References
+
+ [1] Dierks, T. and C. Allen, "The TLS Protocol", RFC 2246, January
+ 1999.
+
+ [2] Wu, T., "The SRP Authentication and Key Exchange System", RFC
+ 2945, September 2000.
+
+ [3] Wu, T., "SRP-6: Improvements and Refinements to the Secure
+ Remote Password Protocol", October 2002.
+
+ [4] Newman, C., "Using TLS with IMAP, POP3 and ACAP", RFC 2595,
+ June 1999.
+
+ [5] Chown, P., "Advanced Encryption Standard (AES) Ciphersuites for
+ Transport Layer Security (TLS)", RFC 3268, June 2002.
+
+ [6] Hoffman, P. and M. Blanchet, "Preparation of Internationalized
+ Strings ("stringprep")", RFC 3454, December 2002.
+
+ [7] Zeilenga, K., "SASLprep: Stringprep profile for user names and
+ passwords", draft-ietf-tn3270e-telnet-tls-06 (work in
+ progress), February 2003.
+
+ [8] Ford-Hutchinson, P., Carpenter, M., Hudson, T., Murray, E. and
+ V. Wiegand, "Securing FTP with TLS",
+ draft-murray-auth-ftp-ssl-09 (work in progress), April 2002.
+
+ [9] Boe, M. and J. Altman, "TLS-based Telnet Security",
+ draft-ietf-sasl-saslprep-00 (work in progress), April 2002.
+
+ [10] Blake-Wilson, S., Nystrom, M., Hopwood, D., Mikkelsen, J. and
+ T. Wright, "TLS Extensions", draft-ietf-tls-extensions-06 (work
+ in progress), February 2003.
+
+ [11] Kivinen, T. and M. Kojo, "More Modular Exponentiation (MODP)
+ Diffie-Hellman groups for Internet Key Exchange (IKE)", RFC
+ 3526, May 2003.
+
+ [12] van Oorschot, P. and M. Wiener, "On Diffie-Hellman Key
+ Agreement with Short Exponents", 1996.
+
+
+
+
+
+
+
+
+
+
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+
+
+Authors' Addresses
+
+ David Taylor
+ Forge Research Pty Ltd
+
+ EMail: DavidTaylor@forge.com.au
+ URI: http://www.forge.com.au/
+
+
+ Tom Wu
+ Arcot Systems
+
+ EMail: tom@arcot.com
+ URI: http://www.arcot.com/
+
+
+ Nikos Mavroyanopoulos
+
+ EMail: nmav@gnutls.org
+ URI: http://www.gnutls.org/
+
+
+ Trevor Perrin
+
+ EMail: trevp@trevp.net
+ URI: http://trevp.net/
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
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+
+Appendix A. SRP Group Parameters
+
+ The 1024, 1536, and 2048-bit groups are taken from software developed
+ by Tom Wu and Eugene Jhong for the Stanford SRP distribution, and
+ subsequently proven to be prime. The larger primes are taken from
+ [11], but generators have been calculated that are primitive roots of
+ N, unlike the generators in [11].
+
+ The 1024, 1536, and 2048-bit groups MUST be supported.
+
+ 1. 1024-bit Group
+
+ The hexadecimal value is:
+
+ EEAF0AB9 ADB38DD6 9C33F80A FA8FC5E8 60726187 75FF3C0B 9EA2314C
+ 9C256576 D674DF74 96EA81D3 383B4813 D692C6E0 E0D5D8E2 50B98BE4
+ 8E495C1D 6089DAD1 5DC7D7B4 6154D6B6 CE8EF4AD 69B15D49 82559B29
+ 7BCF1885 C529F566 660E57EC 68EDBC3C 05726CC0 2FD4CBF4 976EAA9A
+ FD5138FE 8376435B 9FC61D2F C0EB06E3
+
+ The generator is: 2.
+
+ 2. 1536-bit Group
+
+ The hexadecimal value is:
+
+ 9DEF3CAF B939277A B1F12A86 17A47BBB DBA51DF4 99AC4C80 BEEEA961
+ 4B19CC4D 5F4F5F55 6E27CBDE 51C6A94B E4607A29 1558903B A0D0F843
+ 80B655BB 9A22E8DC DF028A7C EC67F0D0 8134B1C8 B9798914 9B609E0B
+ E3BAB63D 47548381 DBC5B1FC 764E3F4B 53DD9DA1 158BFD3E 2B9C8CF5
+ 6EDF0195 39349627 DB2FD53D 24B7C486 65772E43 7D6C7F8C E442734A
+ F7CCB7AE 837C264A E3A9BEB8 7F8A2FE9 B8B5292E 5A021FFF 5E91479E
+ 8CE7A28C 2442C6F3 15180F93 499A234D CF76E3FE D135F9BB
+
+ The generator is: 2.
+
+ 3. 2048-bit Group
+
+ The hexadecimal value is:
+
+ AC6BDB41 324A9A9B F166DE5E 1389582F AF72B665 1987EE07 FC319294
+ 3DB56050 A37329CB B4A099ED 8193E075 7767A13D D52312AB 4B03310D
+ CD7F48A9 DA04FD50 E8083969 EDB767B0 CF609517 9A163AB3 661A05FB
+ D5FAAAE8 2918A996 2F0B93B8 55F97993 EC975EEA A80D740A DBF4FF74
+ 7359D041 D5C33EA7 1D281E44 6B14773B CA97B43A 23FB8016 76BD207A
+ 436C6481 F1D2B907 8717461A 5B9D32E6 88F87748 544523B5 24B0D57D
+ 5EA77A27 75D2ECFA 032CFBDB F52FB378 61602790 04E57AE6 AF874E73
+ 03CE5329 9CCC041C 7BC308D8 2A5698F3 A8D0C382 71AE35F8 E9DBFBB6
+
+
+
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+
+ 94B5C803 D89F7AE4 35DE236D 525F5475 9B65E372 FCD68EF2 0FA7111F
+ 9E4AFF73
+
+ The generator is: 2.
+
+ 4. 3072-bit Group
+
+ This prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] +
+ 1690314 }
+
+ Its hexadecimal value is:
+
+ FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 29024E08
+ 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD EF9519B3 CD3A431B
+ 302B0A6D F25F1437 4FE1356D 6D51C245 E485B576 625E7EC6 F44C42E9
+ A637ED6B 0BFF5CB6 F406B7ED EE386BFB 5A899FA5 AE9F2411 7C4B1FE6
+ 49286651 ECE45B3D C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8
+ FD24CF5F 83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D
+ 670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B E39E772C
+ 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9 DE2BCBF6 95581718
+ 3995497C EA956AE5 15D22618 98FA0510 15728E5A 8AAAC42D AD33170D
+ 04507A33 A85521AB DF1CBA64 ECFB8504 58DBEF0A 8AEA7157 5D060C7D
+ B3970F85 A6E1E4C7 ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226
+ 1AD2EE6B F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C
+ BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31 43DB5BFC
+ E0FD108E 4B82D120 A93AD2CA FFFFFFFF FFFFFFFF
+
+ The generator is: 5.
+
+ 5. 4096-bit Group
+
+ This prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] +
+ 240904 }
+
+ Its hexadecimal value is:
+
+ FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 29024E08
+ 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD EF9519B3 CD3A431B
+ 302B0A6D F25F1437 4FE1356D 6D51C245 E485B576 625E7EC6 F44C42E9
+ A637ED6B 0BFF5CB6 F406B7ED EE386BFB 5A899FA5 AE9F2411 7C4B1FE6
+ 49286651 ECE45B3D C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8
+ FD24CF5F 83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D
+ 670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B E39E772C
+ 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9 DE2BCBF6 95581718
+ 3995497C EA956AE5 15D22618 98FA0510 15728E5A 8AAAC42D AD33170D
+ 04507A33 A85521AB DF1CBA64 ECFB8504 58DBEF0A 8AEA7157 5D060C7D
+ B3970F85 A6E1E4C7 ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226
+ 1AD2EE6B F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C
+
+
+
+Taylor, et al. Expires December 16, 2003 [Page 15]
+\f
+Internet-Draft Using SRP for TLS Authentication June 2003
+
+
+ BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31 43DB5BFC
+ E0FD108E 4B82D120 A9210801 1A723C12 A787E6D7 88719A10 BDBA5B26
+ 99C32718 6AF4E23C 1A946834 B6150BDA 2583E9CA 2AD44CE8 DBBBC2DB
+ 04DE8EF9 2E8EFC14 1FBECAA6 287C5947 4E6BC05D 99B2964F A090C3A2
+ 233BA186 515BE7ED 1F612970 CEE2D7AF B81BDD76 2170481C D0069127
+ D5B05AA9 93B4EA98 8D8FDDC1 86FFB7DC 90A6C08F 4DF435C9 34063199
+ FFFFFFFF FFFFFFFF
+
+ The generator is: 5.
+
+ 6. 6144-bit Group
+
+ This prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] +
+ 929484 }
+
+ Its hexadecimal value is:
+
+ FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 29024E08
+ 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD EF9519B3 CD3A431B
+ 302B0A6D F25F1437 4FE1356D 6D51C245 E485B576 625E7EC6 F44C42E9
+ A637ED6B 0BFF5CB6 F406B7ED EE386BFB 5A899FA5 AE9F2411 7C4B1FE6
+ 49286651 ECE45B3D C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8
+ FD24CF5F 83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D
+ 670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B E39E772C
+ 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9 DE2BCBF6 95581718
+ 3995497C EA956AE5 15D22618 98FA0510 15728E5A 8AAAC42D AD33170D
+ 04507A33 A85521AB DF1CBA64 ECFB8504 58DBEF0A 8AEA7157 5D060C7D
+ B3970F85 A6E1E4C7 ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226
+ 1AD2EE6B F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C
+ BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31 43DB5BFC
+ E0FD108E 4B82D120 A9210801 1A723C12 A787E6D7 88719A10 BDBA5B26
+ 99C32718 6AF4E23C 1A946834 B6150BDA 2583E9CA 2AD44CE8 DBBBC2DB
+ 04DE8EF9 2E8EFC14 1FBECAA6 287C5947 4E6BC05D 99B2964F A090C3A2
+ 233BA186 515BE7ED 1F612970 CEE2D7AF B81BDD76 2170481C D0069127
+ D5B05AA9 93B4EA98 8D8FDDC1 86FFB7DC 90A6C08F 4DF435C9 34028492
+ 36C3FAB4 D27C7026 C1D4DCB2 602646DE C9751E76 3DBA37BD F8FF9406
+ AD9E530E E5DB382F 413001AE B06A53ED 9027D831 179727B0 865A8918
+ DA3EDBEB CF9B14ED 44CE6CBA CED4BB1B DB7F1447 E6CC254B 33205151
+ 2BD7AF42 6FB8F401 378CD2BF 5983CA01 C64B92EC F032EA15 D1721D03
+ F482D7CE 6E74FEF6 D55E702F 46980C82 B5A84031 900B1C9E 59E7C97F
+ BEC7E8F3 23A97A7E 36CC88BE 0F1D45B7 FF585AC5 4BD407B2 2B4154AA
+ CC8F6D7E BF48E1D8 14CC5ED2 0F8037E0 A79715EE F29BE328 06A1D58B
+ B7C5DA76 F550AA3D 8A1FBFF0 EB19CCB1 A313D55C DA56C9EC 2EF29632
+ 387FE8D7 6E3C0468 043E8F66 3F4860EE 12BF2D5B 0B7474D6 E694F91E
+ 6DCC4024 FFFFFFFF FFFFFFFF
+
+ The generator is: 5.
+
+
+
+
+Taylor, et al. Expires December 16, 2003 [Page 16]
+\f
+Internet-Draft Using SRP for TLS Authentication June 2003
+
+
+ 7. 8192-bit Group
+
+ This prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] +
+ 4743158 }
+
+ Its hexadecimal value is:
+
+ FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 29024E08
+ 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD EF9519B3 CD3A431B
+ 302B0A6D F25F1437 4FE1356D 6D51C245 E485B576 625E7EC6 F44C42E9
+ A637ED6B 0BFF5CB6 F406B7ED EE386BFB 5A899FA5 AE9F2411 7C4B1FE6
+ 49286651 ECE45B3D C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8
+ FD24CF5F 83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D
+ 670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B E39E772C
+ 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9 DE2BCBF6 95581718
+ 3995497C EA956AE5 15D22618 98FA0510 15728E5A 8AAAC42D AD33170D
+ 04507A33 A85521AB DF1CBA64 ECFB8504 58DBEF0A 8AEA7157 5D060C7D
+ B3970F85 A6E1E4C7 ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226
+ 1AD2EE6B F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C
+ BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31 43DB5BFC
+ E0FD108E 4B82D120 A9210801 1A723C12 A787E6D7 88719A10 BDBA5B26
+ 99C32718 6AF4E23C 1A946834 B6150BDA 2583E9CA 2AD44CE8 DBBBC2DB
+ 04DE8EF9 2E8EFC14 1FBECAA6 287C5947 4E6BC05D 99B2964F A090C3A2
+ 233BA186 515BE7ED 1F612970 CEE2D7AF B81BDD76 2170481C D0069127
+ D5B05AA9 93B4EA98 8D8FDDC1 86FFB7DC 90A6C08F 4DF435C9 34028492
+ 36C3FAB4 D27C7026 C1D4DCB2 602646DE C9751E76 3DBA37BD F8FF9406
+ AD9E530E E5DB382F 413001AE B06A53ED 9027D831 179727B0 865A8918
+ DA3EDBEB CF9B14ED 44CE6CBA CED4BB1B DB7F1447 E6CC254B 33205151
+ 2BD7AF42 6FB8F401 378CD2BF 5983CA01 C64B92EC F032EA15 D1721D03
+ F482D7CE 6E74FEF6 D55E702F 46980C82 B5A84031 900B1C9E 59E7C97F
+ BEC7E8F3 23A97A7E 36CC88BE 0F1D45B7 FF585AC5 4BD407B2 2B4154AA
+ CC8F6D7E BF48E1D8 14CC5ED2 0F8037E0 A79715EE F29BE328 06A1D58B
+ B7C5DA76 F550AA3D 8A1FBFF0 EB19CCB1 A313D55C DA56C9EC 2EF29632
+ 387FE8D7 6E3C0468 043E8F66 3F4860EE 12BF2D5B 0B7474D6 E694F91E
+ 6DBE1159 74A3926F 12FEE5E4 38777CB6 A932DF8C D8BEC4D0 73B931BA
+ 3BC832B6 8D9DD300 741FA7BF 8AFC47ED 2576F693 6BA42466 3AAB639C
+ 5AE4F568 3423B474 2BF1C978 238F16CB E39D652D E3FDB8BE FC848AD9
+ 22222E04 A4037C07 13EB57A8 1A23F0C7 3473FC64 6CEA306B 4BCBC886
+ 2F8385DD FA9D4B7F A2C087E8 79683303 ED5BDD3A 062B3CF5 B3A278A6
+ 6D2A13F8 3F44F82D DF310EE0 74AB6A36 4597E899 A0255DC1 64F31CC5
+ 0846851D F9AB4819 5DED7EA1 B1D510BD 7EE74D73 FAF36BC3 1ECFA268
+ 359046F4 EB879F92 4009438B 481C6CD7 889A002E D5EE382B C9190DA6
+ FC026E47 9558E447 5677E9AA 9E3050E2 765694DF C81F56E8 80B96E71
+ 60C980DD 98EDD3DF FFFFFFFF FFFFFFFF
+
+ The generator is: 19 (decimal).
+
+
+
+
+
+Taylor, et al. Expires December 16, 2003 [Page 17]
+\f
+Internet-Draft Using SRP for TLS Authentication June 2003
+
+
+Appendix B. Acknowledgements
+
+ Thanks to all on the IETF tls mailing list for ideas and analysis.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
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+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+Taylor, et al. Expires December 16, 2003 [Page 18]
+\f
+Internet-Draft Using SRP for TLS Authentication June 2003
+
+
+Intellectual Property Statement
+
+ The IETF takes no position regarding the validity or scope of any
+ intellectual property 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
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+ has made any effort to identify any such rights. Information on the
+ IETF's procedures with respect to rights in standards-track and
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+ claims of rights made available for publication and any assurances of
+ licenses to be made available, or the result of an attempt made to
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+ proprietary rights by implementors or users of this specification can
+ be obtained from the IETF Secretariat.
+
+ The IETF invites any interested party to bring to its attention any
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+
+
+Full Copyright Statement
+
+ Copyright (C) The Internet Society (2003). All Rights Reserved.
+
+ This document and translations of it may be copied and furnished to
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+ BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF THE INFORMATION
+
+
+
+Taylor, et al. Expires December 16, 2003 [Page 19]
+\f
+Internet-Draft Using SRP for TLS Authentication June 2003
+
+
+ HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED WARRANTIES OF
+ MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
+
+
+Acknowledgment
+
+ Funding for the RFC Editor function is currently provided by the
+ Internet Society.
+
+
+
+
+
+
+
+
+
+
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+
+
+Taylor, et al. Expires December 16, 2003 [Page 20]
+\f
+