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rfc:rfc3537

Network Working Group J. Schaad Request for Comments: 3537 Soaring Hawk Consulting Category: Standards Track R. Housley

                                                        Vigil Security
                                                              May 2003
     Wrapping a Hashed Message Authentication Code (HMAC) key
         with a Triple-Data Encryption Standard (DES) Key
           or an Advanced Encryption Standard (AES) Key

Status of this Memo

 This document specifies an Internet standards track protocol for the
 Internet community, and requests discussion and suggestions for
 improvements.  Please refer to the current edition of the "Internet
 Official Protocol Standards" (STD 1) for the standardization state
 and status of this protocol.  Distribution of this memo is unlimited.

Copyright Notice

 Copyright (C) The Internet Society (2003).  All Rights Reserved.

Abstract

 This document defines two methods for wrapping an HMAC (Hashed
 Message Authentication Code) key.  The first method defined uses a
 Triple DES (Data Encryption Standard) key to encrypt the HMAC key.
 The second method defined uses an AES (Advanced Encryption Standard)
 key to encrypt the HMAC key.  One place that such an algorithm is
 used is for the Authenticated Data type in CMS (Cryptographic Message
 Syntax).

1. Introduction

 Standard methods exist for encrypting a Triple-DES (3DES) content-
 encryption key (CEK) with a 3DES key-encryption key (KEK) [3DES-
 WRAP], and for encrypting an AES CEK with an AES KEK [AES-WRAP].
 Triple-DES key wrap imposes parity restrictions, and in both
 instances there are restrictions on the size of the key being wrapped
 that make the encryption of HMAC [HMAC] keying material difficult.
 This document specifies a mechanism for the encryption of an HMAC key
 of arbitrary length by a 3DES KEK or an AES KEK.

Schaad & Housley Standards Track [Page 1] RFC 3537 HMAC Key Wrap May 2003

 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 BCP 14, RFC 2119
 [STDWORDS].

2. HMAC Key Guidelines

 [HMAC] suggests that the key be at least as long as the output (L) of
 the hash function being used.  When keys longer than the block size
 of the hash algorithm are used, they are hashed and the resulting
 hash value is used.  Using keys much longer than L provides no
 security benefit, unless the random function used to create the key
 has low entropy output.

3. HMAC Key Wrapping and Unwrapping with Triple-DES

 This section specifies the algorithms for wrapping and unwrapping an
 HMAC key with a 3DES KEK [3DES].
 The 3DES wrapping of HMAC keys is based on the algorithm defined in
 Section 3 of [3DES-WRAP].  The major differences are due to the fact
 that an HMAC key is of variable length and the HMAC key has no
 particular parity.
 In the algorithm description, "a || b" is used to represent 'a'
 concatenated with 'b'.

3.1 Wrapping an HMAC Key with a Triple-DES Key-Encryption Key

 This algorithm encrypts an HMAC key with a 3DES KEK.  The algorithm
 is:
 1.  Let the HMAC key be called KEY, and let the length of KEY in
     octets be called LENGTH.  LENGTH is a single octet.
 2.  Let LKEY = LENGTH || KEY.
 3.  Let LKEYPAD = LKEY || PAD.  If the length of LKEY is a multiple
     of 8, the PAD has a length of zero.  If the length of LKEY is not
     a multiple of 8, then PAD contains the fewest number of random
     octets to make the length of LKEYPAD a multiple of 8.
 4.  Compute an 8 octet key checksum value on LKEYPAD as described in
     Section 2 of [3DES-WRAP], call the result ICV.
 5.  Let LKEYPADICV = LKEYPAD || ICV.
 6.  Generate 8 octets at random, call the result IV.

Schaad & Housley Standards Track [Page 2] RFC 3537 HMAC Key Wrap May 2003

 7.  Encrypt LKEYPADICV in CBC mode using the 3DES KEK.  Use the
     random value generated in the previous step as the initialization
     vector (IV).  Call the ciphertext TEMP1.
 8.  Let TEMP2 = IV || TEMP1.
 9.  Reverse the order of the octets in TEMP2.  That is, the most
     significant (first) octet is swapped with the least significant
     (last) octet, and so on.  Call the result TEMP3.
 10. Encrypt TEMP3 in CBC mode using the 3DES KEK.  Use an
     initialization vector (IV) of 0x4adda22c79e82105.
 Note:  When the same HMAC key is wrapped in different 3DES KEKs, a
 fresh initialization vector (IV) must be generated for each
 invocation of the HMAC key wrap algorithm (step 6).

3.2 Unwrapping an HMAC Key with a Triple-DES Key-Encryption Key

 This algorithm decrypts an HMAC key using a 3DES KEK.  The algorithm
 is:
 1.  If the wrapped key is not a multiple of 8 octets, then error.
 2.  Decrypt the wrapped key in CBC mode using the 3DES KEK.  Use an
     initialization vector (IV) of 0x4adda22c79e82105.  Call the
     output TEMP3.
 3.  Reverse the order of the octets in TEMP3.  That is, the most
     significant (first) octet is swapped with the least significant
     (last) octet, and so on.  Call the result TEMP2.
 4.  Decompose the TEMP2 into IV and TEMP1.  IV is the most
     significant (first) 8 octets, and TEMP1 is composed of the
     remaining octets.
 5.  Decrypt TEMP1 in CBC mode using the 3DES KEK.  Use the IV value
     from the previous step as the initialization vector.  Call the
     plaintext LKEYPADICV.
 6.  Decompose the LKEYPADICV into LKEYPAD, and ICV.  ICV is the least
     significant (last) 8 octets.  LKEYPAD is composed of the
     remaining octets.
 7.  Compute an 8 octet key checksum value on LKEYPAD as described in
     Section 2 of [3DES-WRAP].  If the computed key checksum value
     does not match the decrypted key checksum value, ICV, then error.

Schaad & Housley Standards Track [Page 3] RFC 3537 HMAC Key Wrap May 2003

 8.  Decompose the LKEYPAD into LENGTH, KEY, and PAD.  LENGTH is the
     most significant (first) octet.  KEY is the following LENGTH of
     octets.  PAD is the remaining octets, if any.
 9.  If the length of PAD is more than 7 octets, then error.
 10. Use KEY as an HMAC key.

3.3 HMAC Key Wrap with Triple-DES Algorithm Identifier

 Some security protocols employ ASN.1 [X.208-88, X.209-88], and these
 protocols employ algorithm identifiers to name cryptographic
 algorithms.  To support these protocols, the HMAC Key Wrap with
 Triple-DES algorithm has been assigned the following algorithm
 identifier:
    id-alg-HMACwith3DESwrap OBJECT IDENTIFIER ::= { iso(1)
        member-body(2) us(840) rsadsi(113549) pkcs(1) pkcs-9(9)
        smime(16) alg(3) 11 }
 The AlgorithmIdentifier parameter field MUST be NULL.

3.4 HMAC Key Wrap with Triple-DES Test Vector

 KEK          :  5840df6e 29b02af1
              :  ab493b70 5bf16ea1
              :  ae8338f4 dcc176a8
 HMAC_KEY     :  c37b7e64 92584340
              :  bed12207 80894115
              :  5068f738
 IV           :  050d8c79 e0d56b75
 PAD          :  38be62
 ICV          :  1f363a31 cdaa9037
 LKEYPADICV   :  14c37b7e 64925843
              :  40bed122 07808941
              :  155068f7 38be62fe
              :  1f363a31 cdaa9037
 TEMP1        :  157a8210 f432836b
              :  a618b096 475c864b
              :  6612969c dfa445b1
              :  5646bd00 500b2cc1

Schaad & Housley Standards Track [Page 4] RFC 3537 HMAC Key Wrap May 2003

 TEMP3        :  c12c0b50 00bd4656
              :  b145a4df 9c961266
              :  4b865c47 96b018a6
              :  6b8332f4 10827a15
              :  756bd5e0 798c0d05
 Wrapped Key  :  0f1d715d 75a0aaf6
              :  6f02e371 c08b79e2
              :  a1253dc4 3040136b
              :  dc161118 601f2863
              :  e2929b3b dd17697c

4. HMAC Key Wrapping and Unwrapping with AES

 This section specifies the algorithms for wrapping and unwrapping an
 HMAC key with an AES KEK [AES-WRAP].
 The AES wrapping of HMAC keys is based on the algorithm defined in
 [AES-WRAP].  The major difference is inclusion of padding due to the
 fact that the length of an HMAC key may not be a multiple of 64 bits.
 In the algorithm description, "a || b" is used to represent 'a'
 concatenated with 'b'.

4.1 Wrapping an HMAC Key with an AES Key-Encryption Key

 This algorithm encrypts an HMAC key with an AES KEK.  The algorithm
 is:
 1.  Let the HMAC key be called KEY, and let the length of KEY in
     octets be called LENGTH.  LENGTH is a single octet.
 2.  Let LKEY = LENGTH || KEY.
 3.  Let LKEYPAD = LKEY || PAD.  If the length of LKEY is a multiple
     of 8, the PAD has a length of zero.  If the length of LKEY is not
     a multiple of 8, then PAD contains the fewest number of random
     octets to make the length of LKEYPAD a multiple of 8.
 4.  Encrypt LKEYPAD using the AES key wrap algorithm specified in
     section 2.2.1 of [AES-WRAP], using the AES KEK as the encryption
     key.  The result is 8 octets longer than LKEYPAD.

Schaad & Housley Standards Track [Page 5] RFC 3537 HMAC Key Wrap May 2003

4.2 Unwrapping an HMAC Key with an AES Key

 The AES key unwrap algorithm decrypts an HMAC key using an AES KEK.
 The AES key unwrap algorithm is:
 1.  If the wrapped key is not a multiple of 8 octets, then error.
 2.  Decrypt the wrapped key using the AES key unwrap algorithm
     specified in section 2.2.2 of [AES-WRAP], using the AES KEK as
     the decryption key.  If the unwrap algorithm internal integrity
     check fails, then error, otherwise call the result LKEYPAD.
 3.  Decompose the LKEYPAD into LENGTH, KEY, and PAD.  LENGTH is the
     most significant (first) octet.  KEY is the following LENGTH of
     octets.  PAD is the remaining octets, if any.
 4.  If the length of PAD is more than 7 octets, then error.
 5.  Use KEY as an HMAC key.

4.3 HMAC Key Wrap with AES Algorithm Identifier

 Some security protocols employ ASN.1 [X.208-88, X.209-88], and these
 protocols employ algorithm identifiers to name cryptographic
 algorithms.  To support these protocols, the HMAC Key Wrap with AES
 algorithm has been assigned the following algorithm identifier:
    id-alg-HMACwithAESwrap OBJECT IDENTIFIER ::= { iso(1)
        member-body(2) us(840) rsadsi(113549) pkcs(1) pkcs-9(9)
        smime(16) alg(3) 12 }
 The AlgorithmIdentifier parameter field MUST be NULL.

4.4 HMAC Key Wrap with AES Test Vector

 KEK          :  5840df6e 29b02af1
              :  ab493b70 5bf16ea1
              :  ae8338f4 dcc176a8
 HMAC_KEY     :  c37b7e64 92584340
              :  bed12207 80894115
              :  5068f738
 PAD          :  050d8c
 LKEYPAD      :  14c37b7e 64925843
              :  40bed122 07808941
              :  155068f7 38050d8c

Schaad & Housley Standards Track [Page 6] RFC 3537 HMAC Key Wrap May 2003

 Wrapped Key  :  9fa0c146 5291ea6d
              :  b55360c6 cb95123c
              :  d47b38cc e84dd804
              :  fbcec5e3 75c3cb13

5. Security Considerations

 Implementations must protect the key-encryption key (KEK).
 Compromise of the KEK may result in the disclosure of all HMAC keys
 that have been wrapped with the KEK, which may lead to loss of data
 integrity protection.
 The use of these key wrap functions provide confidentiality and data
 integrity, but they do not necessarily provide data origination
 authentication.  Anyone possessing the KEK can create a message that
 passes the integrity check.  If data origination authentication is
 also desired, then the KEK distribution mechanism must provide data
 origin authentication of the KEK.  Alternatively, a digital signature
 may be used.
 Implementations must randomly generate initialization vectors (IVs)
 and padding.  The generation of quality random numbers is difficult.
 RFC 1750 [RANDOM] offers important guidance in this area, and
 Appendix 3 of FIPS Pub 186 [DSS] provides one quality PRNG technique.
 The key wrap algorithms specified in this document have been reviewed
 for use with Triple-DES and AES, and have not been reviewed for use
 with other encryption algorithms.

6. References

6.1 Normative References

 [3DES]      American National Standards Institute.  ANSI X9.52-1998,
             Triple Data Encryption Algorithm Modes of Operation.
             1998.
 [3DES-WRAP] Housley, R., "Triple-DES and RC2 Key Wrapping", RFC 3217,
             December 2001.
 [AES]       National Institute of Standards and Technology. FIPS Pub
             197: Advanced Encryption Standard (AES). 26 November
             2001.
 [AES-WRAP]  Schaad, J. and R. Housley, "Advanced Encryption Standard
             (AES) Key Wrap Algorithm", RFC 3394, September 2002.

Schaad & Housley Standards Track [Page 7] RFC 3537 HMAC Key Wrap May 2003

 [HMAC]      Krawczyk, H., Bellare, M. and R. Canetti, "HMAC:  Keyed-
             Hashing for Message Authentication", RFC 2104, February
             1997.
 [STDWORDS]  Bradner, S., "Key words for use in RFCs to Indicate
             Requirement Levels", BCP 14, RFC 2119, March 1997.

6.2 Informative References

 [DSS]       National Institute of Standards and Technology. FIPS Pub
             186: Digital Signature Standard.  19 May 1994.
 [RANDOM]    Eastlake 3rd, D., Crocker, S. and J. Schiller,
             "Randomness Recommendations for Security", RFC 1750,
             December 1994.
 [RFC2026]   Bradner, S., "The Internet Standards Process - Revision
             3", BCP 9, RFC 2026, October 1996.
 [X.208-88]  CCITT.  Recommendation X.208: Specification of Abstract
             Syntax Notation One (ASN.1).  1988.
 [X.209-88]  CCITT.  Recommendation X.209: Specification of Basic
             Encoding Rules for Abstract Syntax Notation One (ASN.1).
             1988.

7. Authors' Addresses

 Jim Schaad
 Soaring Hawk Consulting
 EMail: jimsch@exmsft.com
 Russell Housley
 Vigil Security
 918 Spring Knoll Drive
 Herndon, VA 20170
 USA
 EMail: housley@vigilsec.com

Schaad & Housley Standards Track [Page 8] RFC 3537 HMAC Key Wrap May 2003

8. Full Copyright Statement

 Copyright (C) The Internet Society (2003).  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 assignees.
 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.

Schaad & Housley Standards Track [Page 9]

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