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Network Working Group                                         R. Housley
Request for Comments: 3217                              RSA Laboratories
Category: Informational                                    December 2001


                    Triple-DES and RC2 Key Wrapping

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

   This document specifies the algorithm for wrapping one Triple-DES key
   with another Triple-DES key and the algorithm for wrapping one RC2
   key with another RC2 key.  These key wrap algorithms were originally
   published in section 12.6 of RFC 2630.  They are republished since
   these key wrap algorithms have been found to be useful in contexts
   beyond those supported by RFC 2630.

1  Introduction

   Management of symmetric cryptographic keys often leads to situations
   where one symmetric key is used to encrypt (or wrap) another.  Key
   wrap algorithms are commonly used in two situations.  First, key
   agreement algorithms (such as Diffie-Hellman [DH-X9.42]) generate a
   pairwise key-encryption key, and a key wrap algorithm is used to
   encrypt the content-encryption key or a multicast key with the
   pairwise key-encryption key.  Second, a key wrap algorithm is used to
   encrypt the content-encryption key, multicast key, or session key in
   a locally generated storage key-encryption key or a key-encryption
   key that was distributed out-of-band.

   This document specifies the algorithm for wrapping one Triple-DES key
   with another Triple-DES key [3DES], and it specifies the algorithm
   for wrapping one RC2 key with another RC2 key [RC2].  Encryption of a
   Triple-DES key with another Triple-DES key uses the algorithm
   specified in section 3.  Encryption of a RC2 key with another RC2 key
   uses the algorithm specified in section 4.  Both of these algorithms
   rely on the key checksum algorithm specified in section 2.  Triple-
   DES and RC2 content-encryption keys are encrypted in Cipher Block
   Chaining (CBC) mode [MODES].



Housley                      Informational                      [Page 1]

RFC 3217            Triple-DES and RC2 Key Wrapping        December 2001


   In this document, the key words MUST, MUST NOT, REQUIRED, SHOULD,
   SHOULD NOT, RECOMMENDED, and MAY are to be interpreted as described
   by Scott Bradner in [STDWORDS].

2  Key Checksum

   The key checksum algorithm is used to provide a key integrity check
   value.  The algorithm is:

   1. Compute a 20 octet SHA-1 [SHA1] message digest on the key that is
      to be wrapped.
   2. Use the most significant (first) eight octets of the message
      digest value as the checksum value.

3  Triple-DES Key Wrapping and Unwrapping

   This section specifies the algorithms for wrapping and unwrapping one
   Triple-DES key with another Triple-DES key [3DES].

   The same key wrap algorithm is used for both Two-key Triple-DES and
   Three-key Triple-DES keys.  When a Two-key Triple-DES key is to be
   wrapped, a third DES key with the same value as the first DES key is
   created.  Thus, all wrapped Triple-DES keys include three DES keys.
   However, a Two-key Triple-DES key MUST NOT be used to wrap a Three-
   key Triple-DES key that is comprised of three unique DES keys.

3.1  Triple-DES Key Wrap

   The Triple-DES key wrap algorithm encrypts a Triple-DES key with a
   Triple-DES key-encryption key.  The Triple-DES key wrap algorithm is:

   1. Set odd parity for each of the DES key octets comprising the
      Three-Key Triple-DES key that is to be wrapped, call the result
      CEK.
   2. Compute an 8 octet key checksum value on CEK as described above in
      Section 2, call the result ICV.
   3. Let CEKICV = CEK || ICV.
   4. Generate 8 octets at random, call the result IV.
   5. Encrypt CEKICV in CBC mode using the key-encryption key.  Use the
      random value generated in the previous step as the initialization
      vector (IV).  Call the ciphertext TEMP1.
   6. Let TEMP2 = IV || TEMP1.
   7. 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.
   8. Encrypt TEMP3 in CBC mode using the key-encryption key.  Use an
      initialization vector (IV) of 0x4adda22c79e82105.  The ciphertext
      is 40 octets long.



Housley                      Informational                      [Page 2]

RFC 3217            Triple-DES and RC2 Key Wrapping        December 2001


   Note:  When the same Three-Key Triple-DES key is wrapped in different
   key-encryption keys, a fresh initialization vector (IV) must be
   generated for each invocation of the key wrap algorithm.

3.2  Triple-DES Key Unwrap

   The Triple-DES key unwrap algorithm decrypts a Triple-DES key using a
   Triple-DES key-encryption key.  The Triple-DES key unwrap algorithm
   is:

   1. If the wrapped key is not 40 octets, then error.
   2. Decrypt the wrapped key in CBC mode using the key-encryption key.
      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 TEMP2 into IV and TEMP1.  IV is the most significant
      (first) 8 octets, and TEMP1 is the least significant (last) 32
      octets.
   5. Decrypt TEMP1 in CBC mode using the key-encryption key.  Use the
      IV value from the previous step as the initialization vector.
      Call the ciphertext CEKICV.
   6. Decompose CEKICV into CEK and ICV.  CEK is the most significant
      (first) 24 octets, and ICV is the least significant (last) 8
      octets.
   7. Compute an 8 octet key checksum value on CEK as described above in
      Section 2.  If the computed key checksum value does not match the
      decrypted key checksum value, ICV, then error.
   8. Check for odd parity each of the DES key octets comprising CEK.
      If parity is incorrect, then error.
   9. Use CEK as a Triple-DES key.

3.3  Triple-DES Key Wrap 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 Triple-DES key wrap
   algorithm has been assigned the following algorithm identifier:

      id-alg-CMS3DESwrap OBJECT IDENTIFIER ::= { iso(1) member-body(2)
         us(840) rsadsi(113549) pkcs(1) pkcs-9(9) smime(16) alg(3) 6 }

   The AlgorithmIdentifier parameter field MUST be NULL.







Housley                      Informational                      [Page 3]

RFC 3217            Triple-DES and RC2 Key Wrapping        December 2001


3.4  Triple-DES Key Wrap Example

   This section contains a Triple-DES Key Wrap example.  Intermediate
   values corresponding to the named items in section 3.1 are given in
   hexadecimal.

   CEK:     2923 bf85 e06d d6ae 5291 49f1 f1ba e9ea b3a7 da3d 860d 3e98
   KEK:     255e 0d1c 07b6 46df b313 4cc8 43ba 8aa7 1f02 5b7c 0838 251f
   ICV:     181b 7e96 86e0 4a4e
   CEKICV:  2923 bf85 e06d d6ae 5291 49f1 f1ba e9ea b3a7 da3d 860d 3e98
            181b 7e96 86e0 4a4e
   IV:      5dd4 cbfc 96f5 453b
   TEMP1:   cfc1 a789 c675 dd2a b49a 3204 ef92 cc03 5c1f 973b 7a79 60f6
            a44d cc5f 729d 8449
   TEMP2:   5dd4 cbfc 96f5 453b cfc1 a789 c675 dd2a b49a 3204 ef92 cc03
            5c1f 973b 7a79 60f6 a44d cc5f 729d 8449
   TEMP3:   4984 9d72 5fcc 4da4 f660 797a 3b97 1f5c 03cc 92ef 0432 9ab4
            2add 75c6 89a7 c1cf 3b45 f596 fccb d45d
   RESULT:  6901 0761 8ef0 92b3 b48c a179 6b23 4ae9 fa33 ebb4 1596 0403
            7db5 d6a8 4eb3 aac2 768c 6327 75a4 67d4

4  RC2 Key Wrapping and Unwrapping

   This section specifies the algorithms for wrapping and unwrapping one
   RC2 key with another RC2 key [RC2].

   RC2 supports variable length keys.  RC2 128-bit keys MUST be used as
   key-encryption keys; however, the wrapped RC2 key MAY be of any size.

4.1  RC2 Key Wrap

   The RC2 key wrap algorithm encrypts a RC2 key with a RC2 key-
   encryption key.  The RC2 key wrap algorithm is:

   1.  Let the RC2 key be called CEK, and let the length of CEK in
       octets be called LENGTH.  LENGTH is a single octet.
   2.  Let LCEK = LENGTH || CEK.
   3.  Let LCEKPAD = LCEK || PAD.  If the length of LCEK is a multiple
       of 8, the PAD has a length of zero.  If the length of LCEK is not
       a multiple of 8, then PAD contains the fewest number of random
       octets to make the length of LCEKPAD a multiple of 8.
   4.  Compute an 8 octet key checksum value on LCEKPAD as described
       above in Section 2, call the result ICV.
   5.  Let LCEKPADICV = LCEKPAD || ICV.
   6.  Generate 8 octets at random, call the result IV.
   7.  Encrypt LCEKPADICV in CBC mode using the key-encryption key.  Use
       the random value generated in the previous step as the
       initialization vector (IV).  Call the ciphertext TEMP1.



Housley                      Informational                      [Page 4]

RFC 3217            Triple-DES and RC2 Key Wrapping        December 2001


   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 key-encryption key.  Use an
       initialization vector (IV) of 0x4adda22c79e82105.

   Note:  When the same RC2 key is wrapped in different key-encryption
   keys, a fresh initialization vector (IV) must be generated for each
   invocation of the key wrap algorithm.

4.2  RC2 Key Unwrap

   The RC2 key unwrap algorithm decrypts a RC2 key using a RC2 key-
   encryption key.  The RC2 key unwrap 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 key-encryption key.
       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

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