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INFORMATIONAL
Network Working Group                                            G. ZornRequest for Comments: 3079                                 cisco SystemsCategory: Informational                                       March 2001Deriving Keys for use with Microsoft Point-to-Point Encryption (MPPE)Status of this Memo   This memo provides information for the Internet community.  It does   not specify an Internet standard of any kind.  Distribution of this   memo is unlimited.Copyright Notice   Copyright (C) The Internet Society (2001).  All Rights Reserved.Abstract   The Point-to-Point Protocol (PPP) provides a standard method for   transporting multi-protocol datagrams over point-to-point links.   The PPP Compression Control Protocol provides a method to negotiate   and utilize compression protocols over PPP encapsulated links.   Microsoft Point to Point Encryption (MPPE) is a means of representing   PPP packets in an encrypted form.  MPPE uses the RSA RC4 algorithm to   provide data confidentiality.  The length of the session key to be   used for initializing encryption tables can be negotiated.  MPPE   currently supports 40-bit, 56-bit and 128-bit session keys.  MPPE   session keys are changed frequently; the exact frequency depends upon   the options negotiated, but may be every packet.  MPPE is negotiated   within option 18 in the Compression Control Protocol.   This document describes the method used to derive initial MPPE   session keys from a variety of credential types.  It is expected that   this memo will be updated whenever Microsoft defines a new key   derivation method for MPPE, since its primary purpose is to provide   an open, easily accessible reference for third-parties wishing to   interoperate with Microsoft products.   MPPE itself (including the protocol used to negotiate its use, the   details of the encryption method used and the algorithm used to   change session keys during a session) is described inRFC 3078.Zorn                         Informational                      [Page 1]

RFC 3079                  MPPE Key Derivation                 March 2001Table of Contents1.  Specification of Requirements ...............................22.  Deriving Session Keys from MS-CHAP Credentials ..............22.1.  Generating 40-bit Session Keys ............................32.2.  Generating 56-bit Session Keys ............................32.3.  Generating 128-bit Session Keys ...........................42.4.  Key Derivation Functions ..................................52.5.  Sample Key Derivations ....................................62.5.1.  Sample 40-bit Key Derivation ............................62.5.2.  Sample 56-bit Key Derivation ............................62.5.3.  Sample 128-bit Key Derivation ...........................73.  Deriving Session Keys from MS-CHAP-2 Credentials ............73.1.  Generating 40-bit Session Keys ............................83.2.  Generating 56-bit Session Keys ............................93.3.  Generating 128-bit Session Keys ...........................103.4.  Key Derivation Functions ..................................113.5.  Sample Key Derivations ....................................133.5.1.  Sample 40-bit Key Derivation ............................133.5.2.  Sample 56-bit Key Derivation ............................143.5.3.  Sample 128-bit Key Derivation ...........................154.  Deriving MPPE Session Keys from TLS Session Keys ............164.1.  Generating 40-bit Session Keys ............................164.2.  Generating 56-bit Session Keys ............................174.3.  Generating 128-bit Session Keys ...........................175.  Security Considerations .....................................185.1.  MS-CHAP Credentials .......................................185.2.  EAP-TLS Credentials .......................................196.  References ..................................................197.  Acknowledgements ............................................208.  Author's Address ............................................209.  Full Copyright Statement ....................................211.  Specification of Requirements   In this document, the key words "MAY", "MUST, "MUST NOT", "optional",   "recommended", "SHOULD", and "SHOULD NOT" are to be interpreted as   described in [6].2.  Deriving Session Keys from MS-CHAP Credentials   The Microsoft Challenge-Handshake Authentication Protocol (MS-CHAP-1)   [2] is a Microsoft-proprietary PPP [1] authentication protocol,   providing the functionality to which LAN-based users are accustomed   while integrating the encryption and hashing algorithms used on   Windows networks.Zorn                         Informational                      [Page 2]

RFC 3079                  MPPE Key Derivation                 March 2001   The following sections detail the methods used to derive initial   session keys (40-, 56- and 128-bit) from MS-CHAP-1 credentials.   Implementation Note      The initial session key in both directions is derived from the      credentials of the peer that initiated the call and the challenge      used (if any) is the challenge from the first authentication.      This is true for both unilateral and bilateral authentication, as      well as for each link in a multilink bundle.  In the multi-chassis      multilink case, implementations are responsible for ensuring that      the correct keys are generated on all participating machines.2.1.  Generating 40-bit Session Keys   MPPE uses a derivative of the peer's LAN Manager password as the 40-   bit session key used for initializing the RC4 encryption tables.   The first step is to obfuscate the peer's password using the   LmPasswordHash() function (described in [2]).  The first 8 octets of   the result are used as the basis for the session key generated in the   following way:/** PasswordHash is the basis for the session key* SessionKey is a copy of PasswordHash and is the generative session key* 8 is the length (in octets) of the key to be generated.**/Get_Key(PasswordHash, SessionKey, 8)/** The effective length of the key is reduced to 40 bits by* replacing the first three bytes as follows:*/SessionKey[0] = 0xd1 ;SessionKey[1] = 0x26 ;SessionKey[2] = 0x9e ;2.2.  Generating 56-bit Session Keys   MPPE uses a derivative of the peer's LAN Manager password as the 56-   bit session key used for initializing the RC4 encryption tables.   The first step is to obfuscate the peer's password using the   LmPasswordHash() function (described in [2]).  The first 8 octets of   the result are used as the basis for the session key generated in the   following way:Zorn                         Informational                      [Page 3]

RFC 3079                  MPPE Key Derivation                 March 2001/** PasswordHash is the basis for the session key* SessionKey is a copy of PasswordHash and is the generative session key* 8 is the length (in octets) of the key to be generated.**/Get_Key(PasswordHash, SessionKey, 8)/** The effective length of the key is reduced to 56 bits by* replacing the first byte as follows:*/SessionKey[0] = 0xd1 ;2.3.  Generating 128-bit Session Keys   MPPE uses a derivative of the peer's Windows NT password as the 128-   bit session key used for initializing encryption tables.   The first step is to obfuscate the peer's password using   NtPasswordHash() function as described in [2].  The first 16 octets   of the result are then hashed again using the MD4 algorithm.  The   first 16 octets of the second hash are used as the basis for the   session key generated in the following way:/** Challenge (as described in [9]) is sent by the PPP authenticator* during authentication and is 8 octets long.* NtPasswordHashHash is the basis for the session key.* On return, InitialSessionKey contains the initial session* key to be used.*/Get_Start_Key(Challenge, NtPasswordHashHash, InitialSessionKey)/** CurrentSessionKey is a copy of InitialSessionKey* and is the generative session key.* Length (in octets) of the key to generate is 16.**/Get_Key(InitialSessionKey, CurrentSessionKey, 16)Zorn                         Informational                      [Page 4]

RFC 3079                  MPPE Key Derivation                 March 20012.4.  Key Derivation Functions   The following procedures are used to derive the session key./* * Pads used in key derivation */SHApad1[40] =   {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,    0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,    0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,    0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00};SHApad2[40] =   {0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2,    0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2,    0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2,    0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2};/* * SHAInit(), SHAUpdate() and SHAFinal() functions are an * implementation of Secure Hash Algorithm (SHA-1) [7]. These are * available in public domain or can be licensed from * RSA Data Security, Inc. * * 1) InitialSessionKey is 8 octets long for 56- and 40-bit *    session keys, 16 octets long for 128 bit session keys. * 2) CurrentSessionKey is same as InitialSessionKey when this *    routine is called for the first time for the session. */Get_Key(IN     InitialSessionKey,IN/OUT CurrentSessionKeyIN     LengthOfDesiredKey ){   SHAInit(Context)   SHAUpdate(Context, InitialSessionKey, LengthOfDesiredKey)   SHAUpdate(Context, SHAPad1, 40)   SHAUpdate(Context, CurrentSessionKey, LengthOfDesiredKey)   SHAUpdate(Context, SHAPad2, 40)   SHAFinal(Context, Digest)   memcpy(CurrentSessionKey, Digest, LengthOfDesiredKey)}Get_Start_Key(IN  Challenge,Zorn                         Informational                      [Page 5]

RFC 3079                  MPPE Key Derivation                 March 2001IN  NtPasswordHashHash,OUT InitialSessionKey){   SHAInit(Context)   SHAUpdate(Context, NtPasswordHashHash, 16)   SHAUpdate(Context, NtPasswordHashHash, 16)   SHAUpdate(Context, Challenge, 8)   SHAFinal(Context, Digest)   memcpy(InitialSessionKey, Digest, 16)}2.5.  Sample Key Derivations   The following sections illustrate 40-, 56- and 128-bit key   derivations.  All intermediate values are in hexadecimal.2.5.1.  Sample 40-bit Key Derivation   Initial Values      Password = "clientPass"   Step 1: LmPasswordHash(Password, PasswordHash)      PasswordHash = 76 a1 52 93 60 96 d7 83 0e 23 90 22 74 04 af d2   Step 2: Copy PasswordHash to SessionKey      SessionKey = 76 a1 52 93 60 96 d7 83 0e 23 90 22 74 04 af d2   Step 3: GetKey(PasswordHash, SessionKey, 8)      SessionKey = d8 08 01 53 8c ec 4a 08   Step 4: Reduce the effective key length to 40 bits      SessionKey = d1 26 9e 53 8c ec 4a 082.5.2.  Sample 56-bit Key Derivation   Initial Values      Password = "clientPass"   Step 1: LmPasswordHash(Password, PasswordHash)      PasswordHash = 76 a1 52 93 60 96 d7 83 0e 23 90 22 74 04 af d2   Step 2: Copy PasswordHash to SessionKey      SessionKey = 76 a1 52 93 60 96 d7 83 0e 23 90 22 74 04 af d2   Step 3: GetKey(PasswordHash, SessionKey, 8)      SessionKey = d8 08 01 53 8c ec 4a 08Zorn                         Informational                      [Page 6]

RFC 3079                  MPPE Key Derivation                 March 2001   Step 4: Reduce the effective key length to 56 bits      SessionKey = d1 08 01 53 8c ec 4a 082.5.3.  Sample 128-bit Key DerivationInitial Values   Password = "clientPass"   Challenge = 10 2d b5 df 08 5d 30 41Step 1: NtPasswordHash(Password, PasswordHash)   PasswordHash = 44 eb ba 8d 53 12 b8 d6 11 47 44 11 f5 69 89 aeStep 2: PasswordHashHash = MD4(PasswordHash)   PasswordHashHash = 41 c0 0c 58 4b d2 d9 1c 40 17 a2 a1 2f a5 9f 3fStep 3: GetStartKey(Challenge, PasswordHashHash, InitialSessionKey)   InitialSessionKey = a8 94 78 50 cf c0 ac ca d1 78 9f b6 2d dc dd b0Step 4: Copy InitialSessionKey to CurrentSessionKey   CurrentSessionKey = a8 94 78 50 cf c0 ac c1 d1 78 9f b6 2d dc dd b0Step 5: GetKey(InitialSessionKey, CurrentSessionKey, 16)   CurrentSessionKey = 59 d1 59 bc 09 f7 6f 1d a2 a8 6a 28 ff ec 0b 1e3.  Deriving Session Keys from MS-CHAP-2 Credentials   Version 2 of the Microsoft Challenge-Handshake Authentication   Protocol (MS-CHAP-2) [8] is a Microsoft-proprietary PPP   authentication protocol, providing the functionality to which LAN-   based users are accustomed while integrating the encryption and   hashing algorithms used on Windows networks.   The following sections detail the methods used to derive initial   session keys from MS-CHAP-2 credentials.  40-, 56- and 128-bit keys   are all derived using the same algorithm from the authenticating   peer's Windows NT password.  The only difference is in the length of   the keys and their effective strength: 40- and 56-bit keys are 8   octets in length, while 128-bit keys are 16 octets long.  Separate   keys are derived for the send and receive directions of the session.   Implementation Note      The initial session keys in both directions are derived from the      credentials of the peer that initiated the call and the challenges      used are those from the first authentication.  This is true as      well for each link in a multilink bundle.  In the multi-chassis      multilink case, implementations are responsible for ensuring that      the correct keys are generated on all participating machines.Zorn                         Informational                      [Page 7]

RFC 3079                  MPPE Key Derivation                 March 20013.1.  Generating 40-bit Session Keys   When used in conjunction with MS-CHAP-2 authentication, the initial   MPPE session keys are derived from the peer's Windows NT password.   The first step is to obfuscate the peer's password using   NtPasswordHash() function as described in [8].      NtPasswordHash(Password, PasswordHash)   The first 16 octets of the result are then hashed again using the MD4   algorithm.      PasswordHashHash = md4(PasswordHash)   The first 16 octets of this second hash are used together with the   NT- Response field from the MS-CHAP-2 Response packet [8] as the   basis for the master session key:      GetMasterKey(PasswordHashHash, NtResponse, MasterKey)   Once the master key has been generated, it is used to derive two 40-   bit session keys, one for sending and one for receiving:      GetAsymmetricStartKey(MasterKey, MasterSendKey, 8, TRUE, TRUE)      GetAsymmetricStartKey(MasterKey, MasterReceiveKey, 8, FALSE, TRUE)   The master session keys are never used to encrypt or decrypt data;   they are only used in the derivation of transient session keys.  The   initial transient session keys are obtained by calling the function   GetNewKeyFromSHA() (described in [3]):GetNewKeyFromSHA(MasterSendKey, MasterSendKey, 8, SendSessionKey)GetNewKeyFromSHA(MasterReceiveKey, MasterReceiveKey, 8,                                               ReceiveSessionKey)   Next, the effective strength of both keys is reduced by setting the   first three octets to known constants:      SendSessionKey[0] = ReceiveSessionKey[0] = 0xd1      SendSessionKey[1] = ReceiveSessionKey[1] = 0x26      SendSessionKey[2] = ReceiveSessionKey[2] = 0x9e   Finally, the RC4 tables are initialized using the new session keys:      rc4_key(SendRC4key, 8, SendSessionKey)      rc4_key(ReceiveRC4key, 8, ReceiveSessionKey)Zorn                         Informational                      [Page 8]

RFC 3079                  MPPE Key Derivation                 March 20013.2.  Generating 56-bit Session Keys   When used in conjunction with MS-CHAP-2 authentication, the initial   MPPE session keys are derived from the peer's Windows NT password.   The first step is to obfuscate the peer's password using   NtPasswordHash() function as described in [8].      NtPasswordHash(Password, PasswordHash)   The first 16 octets of the result are then hashed again using the MD4   algorithm.      PasswordHashHash = md4(PasswordHash)   The first 16 octets of this second hash are used together with the   NT-Response field from the MS-CHAP-2 Response packet [8] as the basis   for the master session key:      GetMasterKey(PasswordHashHash, NtResponse, MasterKey)   Once the master key has been generated, it is used to derive two   56-bit session keys, one for sending and one for receiving:      GetAsymmetricStartKey(MasterKey, MasterSendKey, 8, TRUE, TRUE)      GetAsymmetricStartKey(MasterKey, MasterReceiveKey, 8, FALSE, TRUE)   The master session keys are never used to encrypt or decrypt data;   they are only used in the derivation of transient session keys.  The   initial transient session keys are obtained by calling the function   GetNewKeyFromSHA() (described in [3]):GetNewKeyFromSHA(MasterSendKey, MasterSendKey, 8, SendSessionKey)GetNewKeyFromSHA(MasterReceiveKey, MasterReceiveKey, 8,                                               ReceiveSessionKey)   Next, the effective strength of both keys is reduced by setting the   first octet to a known constant:      SendSessionKey[0] = ReceiveSessionKey[0] = 0xd1   Finally, the RC4 tables are initialized using the new session keys:      rc4_key(SendRC4key, 8, SendSessionKey)      rc4_key(ReceiveRC4key, 8, ReceiveSessionKey)Zorn                         Informational                      [Page 9]

RFC 3079                  MPPE Key Derivation                 March 20013.3.  Generating 128-bit Session Keys   When used in conjunction with MS-CHAP-2 authentication, the initial   MPPE session keys are derived from the peer's Windows NT password.   The first step is to obfuscate the peer's password using   NtPasswordHash() function as described in [8].      NtPasswordHash(Password, PasswordHash)   The first 16 octets of the result are then hashed again using the MD4   algorithm.      PasswordHashHash = md4(PasswordHash)   The first 16 octets of this second hash are used together with the   NT-Response field from the MS-CHAP-2 Response packet [8] as the basis   for the master session key:      GetMasterKey(PasswordHashHash, NtResponse, MasterKey)   Once the master key has been generated, it is used to derive two   128-bit master session keys, one for sending and one for receiving:GetAsymmetricStartKey(MasterKey, MasterSendKey, 16, TRUE, TRUE)GetAsymmetricStartKey(MasterKey, MasterReceiveKey, 16, FALSE, TRUE)   The master session keys are never used to encrypt or decrypt data;   they are only used in the derivation of transient session keys.  The   initial transient session keys are obtained by calling the function   GetNewKeyFromSHA() (described in [3]):GetNewKeyFromSHA(MasterSendKey, MasterSendKey, 16, SendSessionKey)GetNewKeyFromSHA(MasterReceiveKey, MasterReceiveKey, 16,                                                ReceiveSessionKey)   Finally, the RC4 tables are initialized using the new session keys:      rc4_key(SendRC4key, 16, SendSessionKey)      rc4_key(ReceiveRC4key, 16, ReceiveSessionKey)Zorn                         Informational                     [Page 10]

RFC 3079                  MPPE Key Derivation                 March 20013.4.  Key Derivation Functions   The following procedures are used to derive the session key./* * Pads used in key derivation */SHSpad1[40] =   {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,    0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,    0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,    0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00};SHSpad2[40] =   {0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2,    0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2,    0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2,    0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2, 0xf2};/* * "Magic" constants used in key derivations */Magic1[27] =   {0x54, 0x68, 0x69, 0x73, 0x20, 0x69, 0x73, 0x20, 0x74,    0x68, 0x65, 0x20, 0x4d, 0x50, 0x50, 0x45, 0x20, 0x4d,    0x61, 0x73, 0x74, 0x65, 0x72, 0x20, 0x4b, 0x65, 0x79};Magic2[84] =   {0x4f, 0x6e, 0x20, 0x74, 0x68, 0x65, 0x20, 0x63, 0x6c, 0x69,    0x65, 0x6e, 0x74, 0x20, 0x73, 0x69, 0x64, 0x65, 0x2c, 0x20,    0x74, 0x68, 0x69, 0x73, 0x20, 0x69, 0x73, 0x20, 0x74, 0x68,    0x65, 0x20, 0x73, 0x65, 0x6e, 0x64, 0x20, 0x6b, 0x65, 0x79,    0x3b, 0x20, 0x6f, 0x6e, 0x20, 0x74, 0x68, 0x65, 0x20, 0x73,    0x65, 0x72, 0x76, 0x65, 0x72, 0x20, 0x73, 0x69, 0x64, 0x65,    0x2c, 0x20, 0x69, 0x74, 0x20, 0x69, 0x73, 0x20, 0x74, 0x68,    0x65, 0x20, 0x72, 0x65, 0x63, 0x65, 0x69, 0x76, 0x65, 0x20,    0x6b, 0x65, 0x79, 0x2e};Magic3[84] =   {0x4f, 0x6e, 0x20, 0x74, 0x68, 0x65, 0x20, 0x63, 0x6c, 0x69,    0x65, 0x6e, 0x74, 0x20, 0x73, 0x69, 0x64, 0x65, 0x2c, 0x20,    0x74, 0x68, 0x69, 0x73, 0x20, 0x69, 0x73, 0x20, 0x74, 0x68,    0x65, 0x20, 0x72, 0x65, 0x63, 0x65, 0x69, 0x76, 0x65, 0x20,    0x6b, 0x65, 0x79, 0x3b, 0x20, 0x6f, 0x6e, 0x20, 0x74, 0x68,    0x65, 0x20, 0x73, 0x65, 0x72, 0x76, 0x65, 0x72, 0x20, 0x73,    0x69, 0x64, 0x65, 0x2c, 0x20, 0x69, 0x74, 0x20, 0x69, 0x73,Zorn                         Informational                     [Page 11]

RFC 3079                  MPPE Key Derivation                 March 2001    0x20, 0x74, 0x68, 0x65, 0x20, 0x73, 0x65, 0x6e, 0x64, 0x20,    0x6b, 0x65, 0x79, 0x2e};   GetMasterKey(   IN  16-octet  PasswordHashHash,   IN  24-octet  NTResponse,   OUT 16-octet  MasterKey )   {      20-octet Digest      ZeroMemory(Digest, sizeof(Digest));      /*       * SHSInit(), SHSUpdate() and SHSFinal()       * are an implementation of the Secure Hash Standard [7].       */      SHSInit(Context);      SHSUpdate(Context, PasswordHashHash, 16);      SHSUpdate(Context, NTResponse, 24);      SHSUpdate(Context, Magic1, 27);      SHSFinal(Context, Digest);      MoveMemory(MasterKey, Digest, 16);   }   VOID   GetAsymetricStartKey(   IN   16-octet      MasterKey,   OUT  8-to-16 octet SessionKey,   IN   INTEGER       SessionKeyLength,   IN   BOOLEAN       IsSend,   IN   BOOLEAN       IsServer )   {      20-octet Digest;      ZeroMemory(Digest, 20);      if (IsSend) {         if (IsServer) {            s = Magic3         } else {            s = Magic2         }      } else {         if (IsServer) {Zorn                         Informational                     [Page 12]

RFC 3079                  MPPE Key Derivation                 March 2001            s = Magic2         } else {            s = Magic3         }      }      /*       * SHSInit(), SHSUpdate() and SHSFinal()       * are an implementation of the Secure Hash Standard [7].       */      SHSInit(Context);      SHSUpdate(Context, MasterKey, 16);      SHSUpdate(Context, SHSpad1, 40);      SHSUpdate(Context, s, 84);      SHSUpdate(Context, SHSpad2, 40);      SHSFinal(Context, Digest);      MoveMemory(SessionKey, Digest, SessionKeyLength);   }3.5.  Sample Key Derivations   The following sections illustrate 40-, 56- and 128-bit key   derivations. All intermediate values are in hexadecimal.3.5.1.  Sample 40-bit Key DerivationInitial Values   UserName = "User"            =  55 73 65 72   Password = "clientPass"            = 63 00 6C 00 69 00 65 00 6E 00              74 00 50 00 61 00 73 00 73 00   AuthenticatorChallenge = 5B 5D 7C 7D 7B 3F 2F 3E 3C 2C                            60 21 32 26 26 28   PeerChallenge = 21 40 23 24 25 5E 26 2A 28 29 5F 2B 3A 33 7C 7E   Challenge = D0 2E 43 86 BC E9 12 26   NT-Response =   82 30 9E CD 8D 70 8B 5E A0 8F AA 39 81 CD 83 54 42 33   11 4A 3D 85 D6 DFStep 1: NtPasswordHash(Password, PasswordHash)   PasswordHash = 44 EB BA 8D 53 12 B8 D6 11 47 44 11 F5 69 89 AEZorn                         Informational                     [Page 13]

RFC 3079                  MPPE Key Derivation                 March 2001Step 2: PasswordHashHash = MD4(PasswordHash)   PasswordHashHash = 41 C0 0C 58 4B D2 D9 1C 40 17 A2 A1 2F A5 9F 3FStep 3: Derive the master key (GetMasterKey())   MasterKey = FD EC E3 71 7A 8C 83 8C B3 88 E5 27 AE 3C DD 31Step 4: Derive the master send session key (GetAsymmetricStartKey())   SendStartKey40 = 8B 7C DC 14 9B 99 3A 1BStep 5: Derive the initial send session key (GetNewKeyFromSHA())   SendSessionKey40 = D1 26 9E C4 9F A6 2E 3ESample Encrypted Message   rc4(SendSessionKey40, "test message") = 92 91 37 91 7E 58 03 D6                                           68 D7 58 983.5.2.  Sample 56-bit Key DerivationInitial Values   UserName = "User"            =  55 73 65 72   Password = "clientPass"            = 63 00 6C 00 69 00 65 00 6E 00 74 00 50              00 61 00 73 00 73 00   AuthenticatorChallenge = 5B 5D 7C 7D 7B 3F 2F 3E 3C 2C                            60 21 32 26 26 28   PeerChallenge = 21 40 23 24 25 5E 26 2A 28 29 5F 2B 3A 33 7C 7E   Challenge = D0 2E 43 86 BC E9 12 26   NT-Response =   82 30 9E CD 8D 70 8B 5E A0 8F AA 39 81 CD 83 54 42 33   11 4A 3D 85 D6 DFStep 1: NtPasswordHash(Password, PasswordHash)   PasswordHash = 44 EB BA 8D 53 12 B8 D6 11 47 44 11 F5 69 89 AEStep 2: PasswordHashHash = MD4(PasswordHash)   PasswordHashHash = 41 C0 0C 58 4B D2 D9 1C 40 17 A2 A1 2F A5 9F 3FStep 3: Derive the master key (GetMasterKey())   MasterKey = FD EC E3 71 7A 8C 83 8C B3 88 E5 27 AE 3C DD 31Step 4: Derive the master send session key (GetAsymmetricStartKey())   SendStartKey56 = 8B 7C DC 14 9B 99 3A 1BZorn                         Informational                     [Page 14]

RFC 3079                  MPPE Key Derivation                 March 2001Step 5: Derive the initial send session key (GetNewKeyFromSHA())   SendSessionKey56 = D1 5C 00 C4 9F A6 2E 3ESample Encrypted Message   rc4(SendSessionKey40, "test message") = 3F 10 68 33 FA 44 8D                                           A8 42 BC 57 583.5.3.  Sample 128-bit Key DerivationInitial Values   UserName = "User"            =  55 73 65 72   Password = "clientPass"            = 63 00 6C 00 69 00 65 00 6E 00              74 00 50 00 61 00 73 00 73 00   AuthenticatorChallenge = 5B 5D 7C 7D 7B 3F 2F 3E 3C 2C                            60 21 32 26 26 28   PeerChallenge = 21 40 23 24 25 5E 26 2A 28 29 5F 2B 3A 33 7C 7E   Challenge = D0 2E 43 86 BC E9 12 26   NT-Response =   82 30 9E CD 8D 70 8B 5E A0 8F AA 39 81 CD 83 54 42 33   11 4A 3D 85 D6 DFStep 1: NtPasswordHash(Password, PasswordHash)   PasswordHash = 44 EB BA 8D 53 12 B8 D6 11 47 44 11 F5 69 89 AEStep 2: PasswordHashHash = MD4(PasswordHash)   PasswordHashHash = 41 C0 0C 58 4B D2 D9 1C 40 17 A2 A1 2F A5 9F 3FStep 2: Derive the master key (GetMasterKey())   MasterKey = FD EC E3 71 7A 8C 83 8C B3 88 E5 27 AE 3C DD 31Step 3: Derive the send master session key (GetAsymmetricStartKey())   SendStartKey128 = 8B 7C DC 14 9B 99 3A 1B A1 18 CB 15 3F 56 DC CBStep 4: Derive the initial send session key (GetNewKeyFromSHA())   SendSessionKey128 = 40 5C B2 24 7A 79 56 E6 E2 11 00 7A E2 7B 22 D4Sample Encrypted Message  rc4(SendSessionKey128, "test message") = 81 84 83 17 DF 68                                           84 62 72 FB 5A BEZorn                         Informational                     [Page 15]

RFC 3079                  MPPE Key Derivation                 March 20014.  Deriving MPPE Session Keys from TLS Session Keys   The Extensible Authentication Protocol (EAP) [10] is a PPP extension   that provides support  for  additional  authentication methods within   PPP.  Transport  Level  Security  (TLS) [11] provides for mutual   authentication, integrity-protected ciphersuite negotiation and key   exchange between two  endpoints.  EAP-TLS [12] is an EAP   authentication type which allows the use of TLS within the PPP   authentication framework.  The following sections describe the   methods used to derive initial session keys from TLS session keys.   56-, 40- and 128-bit keys are derived using the same algorithm.  The   only difference is in the length of the keys and their effective   strength: 56- and 40-bit keys are 8 octets in length, while 128-bit   keys are 16 octets long.  Separate keys are derived for the send and   receive directions of the session.4.1.  Generating 40-bit Session Keys   When MPPE is used in conjunction with EAP-TLS authentication, the TLS   master secret is used as the master session key.   The algorithm used to derive asymmetrical master session keys from   the TLS master secret is described in [12].  The master session keys   are never used to encrypt or decrypt data; they are only used in the   derivation of transient session keys.   Implementation Note      If the asymmetrical master keys are less than 8 octets in length,      they MUST be padded on the left with zeroes before being used to      derive the initial transient session keys.  Conversely, if the      asymmetrical master keys are more than 8 octets in length, they      must be truncated to 8 octets before being used to derive the      initial transient session keys.   The initial transient session keys are obtained by calling the   function GetNewKeyFromSHA() (described in [3]):GetNewKeyFromSHA(MasterSendKey, MasterSendKey, 8, SendSessionKey)GetNewKeyFromSHA(MasterReceiveKey, MasterReceiveKey, 8,ReceiveSessionKey)   Next, the effective strength of both keys is reduced by setting the   first three octets to known constants:      SendSessionKey[0] = ReceiveSessionKey[0] = 0xD1      SendSessionKey[1] = ReceiveSessionKey[1] = 0x26      SendSessionKey[2] = ReceiveSessionKey[2] = 0x9EZorn                         Informational                     [Page 16]

RFC 3079                  MPPE Key Derivation                 March 2001   Finally, the RC4 tables are initialized using the new session keys:      rc4_key(SendRC4key, 8, SendSessionKey)      rc4_key(ReceiveRC4key, 8, ReceiveSessionKey)4.2.  Generating 56-bit Session Keys   When MPPE is used in conjunction with EAP-TLS authentication, the TLS   master secret is used as the master session key.   The algorithm used to derive asymmetrical master session keys from   the TLS master secret is described in [12].  The master session keys   are never used to encrypt or decrypt data; they are only used in the   derivation of transient session keys.   Implementation Note      If the asymmetrical master keys are less than 8 octets in length,      they MUST be padded on the left with zeroes before being used to      derive the initial transient session keys.  Conversely, if the      asymmetrical master keys are more than 8 octets in length, they      must be truncated to 8 octets before being used to derive the      initial transient session keys.   The initial transient session keys are obtained by calling the   function GetNewKeyFromSHA() (described in [3]):GetNewKeyFromSHA(MasterSendKey, MasterSendKey, 8, SendSessionKey)GetNewKeyFromSHA(MasterReceiveKey, MasterReceiveKey, 8,ReceiveSessionKey)   Next, the effective strength of both keys is reduced by setting the   initial octet to a known constant:      SendSessionKey[0] = ReceiveSessionKey[0] = 0xD1   Finally, the RC4 tables are initialized using the new session keys:      rc4_key(SendRC4key, 8, SendSessionKey)      rc4_key(ReceiveRC4key, 8, ReceiveSessionKey)4.3.  Generating 128-bit Session Keys   When MPPE is used in conjunction with EAP-TLS authentication, the TLS   master secret is used as the master session key.Zorn                         Informational                     [Page 17]

RFC 3079                  MPPE Key Derivation                 March 2001   The algorithm used to derive asymmetrical master session keys from   the TLS master secret is described in [12].  Note that the send key   on one side is the receive key on the other.   The master session keys are never used to encrypt or decrypt data;   they are only used in the derivation of transient session keys.   Implementation Note      If the asymmetrical master keys are less than 16 octets in length,      they MUST be padded on the left with zeroes before being used to      derive the initial transient session keys.  Conversely, if the      asymmetrical master keys are more than 16 octets in length, they      must be truncated to 16 octets before being used to derive the      initial transient session keys.   The initial transient session keys are obtained by calling the   function GetNewKeyFromSHA() (described in [3]):GetNewKeyFromSHA(MasterSendKey, MasterSendKey, 16, SendSessionKey)GetNewKeyFromSHA(MasterReceiveKey, MasterReceiveKey, 16,ReceiveSessionKey)   Finally, the RC4 tables are initialized using the new session keys:      rc4_key(SendRC4key, 16, SendSessionKey)      rc4_key(ReceiveRC4key, 16, ReceiveSessionKey)5.  Security Considerations5.1.  MS-CHAP Credentials   Because of the way in which 40-bit keys are derived from MS-CHAP-1   credentials, the initial 40-bit session key will be identical in all   sessions established under the same peer credentials.  For this   reason, and because RC4 with a 40-bit key length is believed to be a   relatively weak cipher, peers SHOULD NOT use 40-bit keys derived from   the LAN Manager password hash (as described above) if it can be   avoided.   Since the MPPE session keys are derived from user passwords (in the   MS- CHAP-1 and MS-CHAP-2 cases), care should be taken to ensure the   selection of strong passwords and passwords should be changed   frequently.Zorn                         Informational                     [Page 18]

RFC 3079                  MPPE Key Derivation                 March 20015.2.  EAP-TLS Credentials   The strength of the session keys is dependent upon the security of   the TLS protocol.   The EAP server may be on a separate machine from the PPP   authenticator; if this is the case, adequate care must be taken in   the transmission of the EAP-TLS master keys to the authenticator.6.  References   [1]  Simpson, W., "The Point-to-Point Protocol (PPP)", STD 51,RFC1661, July 1994.   [2]  Zorn, G. and S. Cobb, "Microsoft PPP CHAP Extensions",RFC 2433,        October 1998.   [3]  Pall, G. and G. Zorn, "Microsoft Point-to-Point Encryption        (MPPE)RFC 3078, March 2001.   [4]  RC4 is a proprietary encryption algorithm available under        license from RSA Data Security Inc.  For licensing information,        contact:               RSA Data Security, Inc.               100 Marine Parkway               Redwood City, CA 94065-1031   [5]  Pall, G., "Microsoft Point-to-Point Compression (MPPC)        Protocol",RFC 2118, March 1997.   [6]  Bradner, S., "Key words for use in RFCs to Indicate Requirement        Levels",BCP 14,RFC 2119, March 1997.   [7]  "Secure Hash Standard", Federal Information Processing Standards        Publication 180-1, National Institute of Standards and        Technology, April 1995.   [8]  Zorn, G., "Microsoft PPP CHAP Extensions, Version 2",RFC 2759,        January 2000.   [9]  Simpson, W., "PPP Challenge Handshake Authentication Protocol        (CHAP)",RFC 1994, August 1996.   [10] Blunk, L. and J. Vollbrecht, "PPP Extensible Authentication        Protocol (EAP)",RFC 2284, March 1998.Zorn                         Informational                     [Page 19]

RFC 3079                  MPPE Key Derivation                 March 2001   [11] Dierks, T. and C. Allen, "The TLS Protocol Version 1.0",RFC2246, January 1999.   [12] Aboba, B. and D. Simon, "PPP EAP TLS Authentication Protocol",RFC 2716, October 1999.7.  Acknowledgements   Anthony Bell, Richard B. Ward, Terence Spies and Thomas Dimitri, all   of Microsoft Corporation, significantly contributed to the design and   development of MPPE.   Additional thanks to Robert Friend, Joe Davies, Jody Terrill, Archie   Cobbs, Mark Deuser, Vijay Baliga, Brad Robel-Forrest and Jeff Haag   for useful feedback.   The technical portions of this memo were completed while the author   was employed by Microsoft Corporation.8.  Author's Address   Questions about this memo can also be directed to:   Glen Zorn   cisco Systems   500 108th Avenue N.E.   Suite 500   Bellevue, Washington 98004   USA   Phone: +1 425 438 8218   FAX:   +1 425 438 1848   EMail: gwz@cisco.comZorn                         Informational                     [Page 20]

RFC 3079                  MPPE Key Derivation                 March 20019.  Full Copyright Statement   Copyright (C) The Internet Society (2001).  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.Zorn                         Informational                     [Page 21]

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