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rfc:rfc3394

Network Working Group J. Schaad Request for Comments: 3394 Soaring Hawk Consulting Category: Informational R. Housley

                                                      RSA Laboratories
                                                        September 2002
       Advanced Encryption Standard (AES) Key Wrap Algorithm

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 (2002).  All Rights Reserved.

Abstract

 The purpose of this document is to make the Advanced Encryption
 Standard (AES) Key Wrap algorithm conveniently available to the
 Internet community.  The United States of America has adopted AES as
 the new encryption standard.  The AES Key Wrap algorithm will
 probably be adopted by the USA for encryption of AES keys. The
 authors took most of the text in this document from the draft AES Key
 Wrap posted by NIST.

Table of Contents

 1. Introduction................................................  2
 2. Overview....................................................  2
 2.1 Notation and Definitions...................................  3
 2.2 Algorithms.................................................  4
 2.2.1 Key Wrap.................................................  4
 2.2.2 Key Unwrap...............................................  5
 2.2.3 Key Data Integrity -- the Initial Value..................  6
 2.2.3.1 Default Initial Value..................................  7
 2.2.3.2 Alternative Initial Values.............................  7
 3. Object Identifiers..........................................  8
 4. Test Vectors................................................  8
 4.1 Wrap 128 bits of Key Data with a 128-bit KEK...............  8
 4.2 Wrap 128 bits of Key Data with a 192-bit KEK............... 11
 4.3 Wrap 128 bits of Key Data with a 256-bit KEK............... 14
 4.4 Wrap 192 bits of Key Data with a 192-bit KEK............... 17
 4.5 Wrap 192 bits of Key Data with a 256-bit KEK............... 24
 4.6 Wrap 256 bits of Key Data with a 256-bit KEK............... 30

Schaad & Housley Informational [Page 1] RFC 3394 AES Key Wrap Algorithm September 2002

 5. Security Considerations..................................... 39
 6. References.................................................. 39
 7. Acknowledgments............................................. 39
 8. Authors' Addresses.......................................... 39
 9. Full Copyright Statement.................................... 40

1. Introduction

 NOTE: Most of the following text is taken from [AES-WRAP], and the
 assertions regarding the security of the AES Key Wrap algorithm are
 made by the US Government, not by the authors of this document.
 This specification is intended to satisfy the National Institute of
 Standards and Technology (NIST) Key Wrap requirement to:  Design a
 cryptographic algorithm called a Key Wrap that uses the Advanced
 Encryption Standard (AES) as a primitive to securely encrypt
 plaintext key(s) with any associated integrity information and data,
 such that the combination could be longer than the width of the AES
 block size (128-bits).  Each ciphertext bit should be a highly non-
 linear function of each plaintext bit, and (when unwrapping) each
 plaintext bit should be a highly non-linear function of each
 ciphertext bit.  It is sufficient to approximate an ideal
 pseudorandom permutation to the degree that exploitation of
 undesirable phenomena is as unlikely as guessing the AES engine key.
 This key wrap algorithm needs to provide ample security to protect
 keys in the context of prudently designed key management
 architecture.
 Throughout this document, any data being wrapped will be referred to
 as the key data.  It makes no difference to the algorithm whether the
 data being wrapped is a key; in fact there is often good reason to
 include other data with the key, to wrap multiple keys together, or
 to wrap data that isn't strictly a key.  So, the term "key data" is
 used broadly to mean any data being wrapped, but particularly keys,
 since this is primarily a key wrap algorithm.  The key used to do the
 wrapping will be referred to as the key-encryption key (KEK).
 In this document a KEK can be any valid key supported by the AES
 codebook.  That is, a KEK can be a 128-bit key, a 192-bit key, or a
 256-bit key.

2. Overview

 The AES key wrap algorithm is designed to wrap or encrypt key data.
 The key wrap operates on blocks of 64 bits.  Before being wrapped,
 the key data is parsed into n blocks of 64 bits.

Schaad & Housley Informational [Page 2] RFC 3394 AES Key Wrap Algorithm September 2002

 The only restriction the key wrap algorithm places on n is that n be
 at least two.  (For key data with length less than or equal to 64
 bits, the constant field used in this specification and the key data
 form a single 128-bit codebook input making this key wrap
 unnecessary.)  The key wrap algorithm accommodates all supported AES
 key sizes.  However, other cryptographic values often need to be
 wrapped.  One such value is the seed of the random number generator
 for DSS.  This seed value requires n to be greater than four.
 Undoubtedly other values require this type of protection. Therefore,
 no upper bound is imposed on n.
 The AES key wrap can be configured to use any of the three key sizes
 supported by the AES codebook.  The choice of a key size affects the
 overall security provided by the key wrap, but it does not alter the
 description of the key wrap algorithm.  Therefore, in the description
 that follows, the key wrap is described generically; no key size is
 specified for the KEK.

2.1 Notation and Definitions

 The following notation is used in the description of the key wrapping
 algorithms:
    AES(K, W)     Encrypt W using the AES codebook with key K
    AES-1(K, W)   Decrypt W using the AES codebook with key K
    MSB(j, W)     Return the most significant j bits of W
    LSB(j, W)     Return the least significant j bits of W
    B1 ^ B2       The bitwise exclusive or (XOR) of B1 and B2
    B1 | B2       Concatenate B1 and B2
    K             The key-encryption key K
    n             The number of 64-bit key data blocks
    s             The number of steps in the wrapping process, s = 6n
    P[i]          The ith plaintext key data block
    C[i]          The ith ciphertext data block
    A             The 64-bit integrity check register
    R[i]          An array of 64-bit registers where
                     i = 0, 1, 2, ..., n
    A[t], R[i][t] The contents of registers A and R[i] after encryption
                     step t.
    IV            The 64-bit initial value used during the wrapping
                     process.
 In the key wrap algorithm, the concatenation function will be used to
 concatenate 64-bit quantities to form the 128-bit input to the AES
 codebook.  The extraction functions will be used to split the 128-bit
 output from the AES codebook into two 64-bit quantities.

Schaad & Housley Informational [Page 3] RFC 3394 AES Key Wrap Algorithm September 2002

2.2 Algorithms

 The specification of the key wrap algorithm requires the use of the
 AES codebook [AES].  The next three sections will describe the key
 wrap algorithm, the key unwrap algorithm, and the inherent data
 integrity check.

2.2.1 Key Wrap

 The inputs to the key wrapping process are the KEK and the plaintext
 to be wrapped.  The plaintext consists of n 64-bit blocks, containing
 the key data being wrapped.  The key wrapping process is described
 below.
 Inputs:      Plaintext, n 64-bit values {P1, P2, ..., Pn}, and
              Key, K (the KEK).
 Outputs:     Ciphertext, (n+1) 64-bit values {C0, C1, ..., Cn}.
 1) Initialize variables.
     Set A0 to an initial value (see 2.2.3)
     For i = 1 to n
          R[0][i] = P[i]
 2) Calculate intermediate values.
     For t = 1 to s, where s = 6n
         A[t] = MSB(64, AES(K, A[t-1] | R[t-1][1])) ^ t
         For i = 1 to n-1
             R[t][i] = R[t-1][i+1]
         R[t][n] = LSB(64, AES(K, A[t-1] | R[t-1][1]))
 3) Output the results.
     Set C[0] = A[t]
     For i = 1 to n
         C[i] = R[t][i]
 An alternative description of the key wrap algorithm involves
 indexing rather than shifting.  This approach allows one to calculate
 the wrapped key in place, avoiding the rotation in the previous
 description.  This produces identical results and is more easily
 implemented in software.

Schaad & Housley Informational [Page 4] RFC 3394 AES Key Wrap Algorithm September 2002

 Inputs:  Plaintext, n 64-bit values {P1, P2, ..., Pn}, and
          Key, K (the KEK).
 Outputs: Ciphertext, (n+1) 64-bit values {C0, C1, ..., Cn}.
 1) Initialize variables.
     Set A = IV, an initial value (see 2.2.3)
     For i = 1 to n
         R[i] = P[i]
 2) Calculate intermediate values.
     For j = 0 to 5
         For i=1 to n
             B = AES(K, A | R[i])
             A = MSB(64, B) ^ t where t = (n*j)+i
             R[i] = LSB(64, B)
 3) Output the results.
     Set C[0] = A
     For i = 1 to n
         C[i] = R[i]

2.2.2 Key Unwrap

 The inputs to the unwrap process are the KEK and (n+1) 64-bit blocks
 of ciphertext consisting of previously wrapped key.  It returns n
 blocks of plaintext consisting of the n 64-bit blocks of the
 decrypted key data.
 Inputs:  Ciphertext, (n+1) 64-bit values {C0, C1, ..., Cn}, and
         Key, K (the KEK).
 Outputs: Plaintext, n 64-bit values {P1, P2, ..., Pn}.
 1) Initialize variables.
     Set A[s] = C[0] where s = 6n
     For i = 1 to n
         R[s][i] = C[i]
 2) Calculate the intermediate values.
     For t = s to 1
         A[t-1] = MSB(64, AES-1(K, ((A[t] ^ t) | R[t][n]))
         R[t-1][1] = LSB(64, AES-1(K, ((A[t]^t) | R[t][n]))
         For i = 2 to n
             R[t-1][i] = R[t][i-1]

Schaad & Housley Informational [Page 5] RFC 3394 AES Key Wrap Algorithm September 2002

 3) Output the results.
     If A[0] is an appropriate initial value (see 2.2.3),
     Then
         For i = 1 to n
             P[i] = R[0][i]
     Else
         Return an error
 The unwrap algorithm can also be specified as an index based
 operation, allowing the calculations to be carried out in place.
 Again, this produces the same results as the register shifting
 approach.
 Inputs:  Ciphertext, (n+1) 64-bit values {C0, C1, ..., Cn}, and
          Key, K (the KEK).
 Outputs: Plaintext, n 64-bit values {P0, P1, K, Pn}.
 1) Initialize variables.
     Set A = C[0]
     For i = 1 to n
         R[i] = C[i]
 2) Compute intermediate values.
     For j = 5 to 0
         For i = n to 1
             B = AES-1(K, (A ^ t) | R[i]) where t = n*j+i
             A = MSB(64, B)
             R[i] = LSB(64, B)
 3) Output results.
 If A is an appropriate initial value (see 2.2.3),
 Then
     For i = 1 to n
         P[i] = R[i]
 Else
     Return an error

2.2.3 Key Data Integrity – the Initial Value

 The initial value (IV) refers to the value assigned to A[0] in the
 first step of the wrapping process.  This value is used to obtain an
 integrity check on the key data.  In the final step of the unwrapping
 process, the recovered value of A[0] is compared to the expected

Schaad & Housley Informational [Page 6] RFC 3394 AES Key Wrap Algorithm September 2002

 value of A[0].  If there is a match, the key is accepted as valid,
 and the unwrapping algorithm returns it.  If there is not a match,
 then the key is rejected, and the unwrapping algorithm returns an
 error.
 The exact properties achieved by this integrity check depend on the
 definition of the initial value.  Different applications may call for
 somewhat different properties; for example, whether there is need to
 determine the integrity of key data throughout its lifecycle or just
 when it is unwrapped.  This specification defines a default initial
 value that supports integrity of the key data during the period it is
 wrapped (2.2.3.1).  Provision is also made to support alternative
 initial values (in 2.2.3.2).

2.2.3.1 Default Initial Value

 The default initial value (IV) is defined to be the hexadecimal
 constant:
     A[0] = IV = A6A6A6A6A6A6A6A6
 The use of a constant as the IV supports a strong integrity check on
 the key data during the period that it is wrapped.  If unwrapping
 produces A[0] = A6A6A6A6A6A6A6A6, then the chance that the key data
 is corrupt is 2^-64.  If unwrapping produces A[0] any other value,
 then the unwrap must return an error and not return any key data.

2.2.3.2 Alternative Initial Values

 When the key wrap is used as part of a larger key management protocol
 or system, the desired scope for data integrity may be more than just
 the key data or the desired duration for more than just the period
 that it is wrapped.  Also, if the key data is not just an AES key, it
 may not always be a multiple of 64 bits.  Alternative definitions of
 the initial value can be used to address such problems.  NIST will
 define alternative initial values in future key management
 publications as needed.  In order to accommodate a set of
 alternatives that may evolve over time, key wrap implementations that
 are not application-specific will require some flexibility in the way
 that the initial value is set and tested.

Schaad & Housley Informational [Page 7] RFC 3394 AES Key Wrap Algorithm September 2002

3. Object Identifiers

 NIST has assigned the following object identifiers to identify the
 key wrap algorithm with the default initial value specified in
 2.2.3.1.  One object identifier is assigned for use with each of the
 KEK AES key sizes.
     aes  OBJECT IDENTIFIER  ::=  { joint-iso-itu-t(2) country(16)
        us(840) organization(1) gov(101) csor(3) nistAlgorithm(4) 1 }
     id-aes128-wrap  OBJECT IDENTIFIER  ::=  { aes 5 }
     id-aes192-wrap  OBJECT IDENTIFIER  ::=  { aes 25 }
     id-aes256-wrap  OBJECT IDENTIFIER  ::=  { aes 45 }

4. Test Vectors

 The examples in this section were generated using the index-based
 implementation of the key wrap algorithm.  The use of this approach
 allows a straightforward software implementation of the key wrap
 algorithm.

4.1 Wrap 128 bits of Key Data with a 128-bit KEK

 Input:
 KEK:            000102030405060708090A0B0C0D0E0F
 Key Data:       00112233445566778899AABBCCDDEEFF
 Wrap:
 Step t       A               R1               R2
 1
 In   A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
 Enc  F4740052E82A2251 74CE86FBD7B805E7 8899AABBCCDDEEFF
 XorT F4740052E82A2250 74CE86FBD7B805E7 8899AABBCCDDEEFF
 2
 In   F4740052E82A2250 74CE86FBD7B805E7 8899AABBCCDDEEFF
 Enc  06BA4EBDE7768D0B 74CE86FBD7B805E7 D132EE38147E76F8
 XorT 06BA4EBDE7768D09 74CE86FBD7B805E7 D132EE38147E76F8
 3
 In   06BA4EBDE7768D09 74CE86FBD7B805E7 D132EE38147E76F8
 Enc  FC967627BE937208 FE6E8D679C5D3460 D132EE38147E76F8
 XorT FC967627BE93720B FE6E8D679C5D3460 D132EE38147E76F8

Schaad & Housley Informational [Page 8] RFC 3394 AES Key Wrap Algorithm September 2002

 4
 In   FC967627BE93720B FE6E8D679C5D3460 D132EE38147E76F8
 Enc  5896EA9028EE203B FE6E8D679C5D3460 07B2BD973E36A6FC
 XorT 5896EA9028EE203F FE6E8D679C5D3460 07B2BD973E36A6FC
 5
 In   5896EA9028EE203F FE6E8D679C5D3460 07B2BD973E36A6FC
 Enc  93AEA71B258D90C3 25F5A3ADC2195401 07B2BD973E36A6FC
 XorT 93AEA71B258D90C6 25F5A3ADC2195401 07B2BD973E36A6FC
 6
 In   93AEA71B258D90C6 25F5A3ADC2195401 07B2BD973E36A6FC
 Enc  E3EE986344D878F7 25F5A3ADC2195401 F14863BB1E9CA90A
 XorT E3EE986344D878F1 25F5A3ADC2195401 F14863BB1E9CA90A
 7
 In   E3EE986344D878F1 25F5A3ADC2195401 F14863BB1E9CA90A
 Enc  2BFC21B2C20E4006 B556D35ED8CEF052 F14863BB1E9CA90A
 XorT 2BFC21B2C20E4001 B556D35ED8CEF052 F14863BB1E9CA90A
 8
 In   2BFC21B2C20E4001 B556D35ED8CEF052 F14863BB1E9CA90A
 Enc  4BE8CE99C0A43A7D B556D35ED8CEF052 64BAE5818D0570BB
 XorT 4BE8CE99C0A43A75 B556D35ED8CEF052 64BAE5818D0570BB
 9
 In   4BE8CE99C0A43A75 B556D35ED8CEF052 64BAE5818D0570BB
 Enc  EBE1CE91067024F3 BE114B343EB00981 64BAE5818D0570BB
 XorT EBE1CE91067024FA BE114B343EB00981 64BAE5818D0570BB
 10
 In   EBE1CE91067024FA BE114B343EB00981 64BAE5818D0570BB
 Enc  5A9C7B1F5B1C3B46 BE114B343EB00981 4FD3D2B7D74FBB42
 XorT 5A9C7B1F5B1C3B4C BE114B343EB00981 4FD3D2B7D74FBB42
 11
 In   5A9C7B1F5B1C3B4C BE114B343EB00981 4FD3D2B7D74FBB42
 Enc  93B71967EED41FFC AEF34BD8FB5A7B82 4FD3D2B7D74FBB42
 XorT 93B71967EED41FF7 AEF34BD8FB5A7B82 4FD3D2B7D74FBB42
 12
 In   93B71967EED41FF7 AEF34BD8FB5A7B82 4FD3D2B7D74FBB42
 Enc  1FA68B0A8112B44B AEF34BD8FB5A7B82 9D3E862371D2CFE5
 XorT 1FA68B0A8112B447 AEF34BD8FB5A7B82 9D3E862371D2CFE5
 Output:
 Ciphertext:  1FA68B0A8112B447 AEF34BD8FB5A7B82 9D3E862371D2CFE5

Schaad & Housley Informational [Page 9] RFC 3394 AES Key Wrap Algorithm September 2002

 Unwrap:
 Step t       A               R1               R2
 12
 In   1FA68B0A8112B447 AEF34BD8FB5A7B82 9D3E862371D2CFE5
 XorT 1FA68B0A8112B44B AEF34BD8FB5A7B82 9D3E862371D2CFE5
 Dec  93B71967EED41FF7 AEF34BD8FB5A7B82 4FD3D2B7D74FBB42
 11
 In   93B71967EED41FF7 AEF34BD8FB5A7B82 4FD3D2B7D74FBB42
 XorT 93B71967EED41FFC AEF34BD8FB5A7B82 4FD3D2B7D74FBB42
 Dec  5A9C7B1F5B1C3B4C BE114B343EB00981 4FD3D2B7D74FBB42
 10
 In   5A9C7B1F5B1C3B4C BE114B343EB00981 4FD3D2B7D74FBB42
 XorT 5A9C7B1F5B1C3B46 BE114B343EB00981 4FD3D2B7D74FBB42
 Dec  EBE1CE91067024FA BE114B343EB00981 64BAE5818D0570BB
 9
 In   EBE1CE91067024FA BE114B343EB00981 64BAE5818D0570BB
 XorT EBE1CE91067024F3 BE114B343EB00981 64BAE5818D0570BB
 Dec  4BE8CE99C0A43A75 B556D35ED8CEF052 64BAE5818D0570BB
 8
 In   4BE8CE99C0A43A75 B556D35ED8CEF052 64BAE5818D0570BB
 XorT 4BE8CE99C0A43A7D B556D35ED8CEF052 64BAE5818D0570BB
 Dec  2BFC21B2C20E4001 B556D35ED8CEF052 F14863BB1E9CA90A
 7
 In   2BFC21B2C20E4001 B556D35ED8CEF052 F14863BB1E9CA90A
 XorT 2BFC21B2C20E4006 B556D35ED8CEF052 F14863BB1E9CA90A
 Dec  E3EE986344D878F1 25F5A3ADC2195401 F14863BB1E9CA90A
 6
 In   E3EE986344D878F1 25F5A3ADC2195401 F14863BB1E9CA90A
 XorT E3EE986344D878F7 25F5A3ADC2195401 F14863BB1E9CA90A
 Dec  93AEA71B258D90C6 25F5A3ADC2195401 07B2BD973E36A6FC
 5
 In   93AEA71B258D90C6 25F5A3ADC2195401 07B2BD973E36A6FC
 XorT 93AEA71B258D90C3 25F5A3ADC2195401 07B2BD973E36A6FC
 Dec  5896EA9028EE203F FE6E8D679C5D3460 07B2BD973E36A6FC
 4
 In   5896EA9028EE203F FE6E8D679C5D3460 07B2BD973E36A6FC
 XorT 5896EA9028EE203B FE6E8D679C5D3460 07B2BD973E36A6FC
 Dec  FC967627BE93720B FE6E8D679C5D3460 D132EE38147E76F8

Schaad & Housley Informational [Page 10] RFC 3394 AES Key Wrap Algorithm September 2002

 3
 In   FC967627BE93720B FE6E8D679C5D3460 D132EE38147E76F8
 XorT FC967627BE937208 FE6E8D679C5D3460 D132EE38147E76F8
 Dec  06BA4EBDE7768D09 74CE86FBD7B805E7 D132EE38147E76F8
 2
 In   06BA4EBDE7768D09 74CE86FBD7B805E7 D132EE38147E76F8
 XorT 06BA4EBDE7768D0B 74CE86FBD7B805E7 D132EE38147E76F8
 Dec  F4740052E82A2250 74CE86FBD7B805E7 8899AABBCCDDEEFF
 1
 In   F4740052E82A2250 74CE86FBD7B805E7 8899AABBCCDDEEFF
 XorT F4740052E82A2251 74CE86FBD7B805E7 8899AABBCCDDEEFF
 Dec  A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
 Plaintext  A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
 Output:
 Key Data:  00112233445566778899AABBCCDDEEFF

4.2 Wrap 128 bits of Key Data with a 192-bit KEK

 Input:
 KEK:        000102030405060708090A0B0C0D0E0F1011121314151617
 Key Data:   00112233445566778899AABBCCDDEEFF
 Wrap:
 Step t       A               R1               R21
 In   A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
 Enc  DFE8FD5D1A3786A7 351D385096CCFB29 8899AABBCCDDEEFF
 XorT DFE8FD5D1A3786A6 351D385096CCFB29 8899AABBCCDDEEFF
 2
 In   DFE8FD5D1A3786A6 351D385096CCFB29 8899AABBCCDDEEFF
 Enc  9D9B32B9ED742E02 351D385096CCFB29 51F22F3286758A2D
 XorT 9D9B32B9ED742E00 351D385096CCFB29 51F22F3286758A2D
 3
 In   9D9B32B9ED742E00 351D385096CCFB29 51F22F3286758A2D
 Enc  7B8E343CA51CF8AB BC164F51E20CC983 51F22F3286758A2D
 XorT 7B8E343CA51CF8A8 BC164F51E20CC983 51F22F3286758A2D
 4
 In   7B8E343CA51CF8A8 BC164F51E20CC983 51F22F3286758A2D
 Enc  02A97C5897140595 BC164F51E20CC983 05FC2D8F8FF4B919
 XorT 02A97C5897140591 BC164F51E20CC983 05FC2D8F8FF4B919

Schaad & Housley Informational [Page 11] RFC 3394 AES Key Wrap Algorithm September 2002

 5
 In   02A97C5897140591 BC164F51E20CC983 05FC2D8F8FF4B919
 Enc  15D4B63F66583817 429487269D3A0016 05FC2D8F8FF4B919
 XorT 15D4B63F66583812 429487269D3A0016 05FC2D8F8FF4B919
 6
 In   15D4B63F66583812 429487269D3A0016 05FC2D8F8FF4B919
 Enc  AE2D0B76A6951EEA 429487269D3A0016 05A2D8FB4DD5BD7A
 XorT AE2D0B76A6951EEC 429487269D3A0016 05A2D8FB4DD5BD7A
 7
 In   AE2D0B76A6951EEC 429487269D3A0016 05A2D8FB4DD5BD7A
 Enc  79F849444F4B8AA8 D40B091CDBAC0340 05A2D8FB4DD5BD7A
 XorT 79F849444F4B8AAF D40B091CDBAC0340 05A2D8FB4DD5BD7A
 8
 In   79F849444F4B8AAF D40B091CDBAC0340 05A2D8FB4DD5BD7A
 Enc  5933A9195B5F5E21 D40B091CDBAC0340 89F0D6C06F8CA9B4
 XorT 5933A9195B5F5E29 D40B091CDBAC0340 89F0D6C06F8CA9B4
 9
 In   5933A9195B5F5E29 D40B091CDBAC0340 89F0D6C06F8CA9B4
 Enc  57ADA800299C2E85 4D5B3DFE7C04ABBA 89F0D6C06F8CA9B4
 XorT 57ADA800299C2E8C 4D5B3DFE7C04ABBA 89F0D6C06F8CA9B4
 10
 In   57ADA800299C2E8C 4D5B3DFE7C04ABBA 89F0D6C06F8CA9B4
 Enc  BF17BD6A9BC80163 4D5B3DFE7C04ABBA EB24CCFA52EA9078
 XorT BF17BD6A9BC80169 4D5B3DFE7C04ABBA EB24CCFA52EA9078
 11
 In   BF17BD6A9BC80169 4D5B3DFE7C04ABBA EB24CCFA52EA9078
 Enc  B68BF270AE81544F F92B5B97C050AED2 EB24CCFA52EA9078
 XorT B68BF270AE815444 F92B5B97C050AED2 EB24CCFA52EA9078
 12
 In   B68BF270AE815444 F92B5B97C050AED2 EB24CCFA52EA9078
 Enc  96778B25AE6CA439 F92B5B97C050AED2 468AB8A17AD84E5D
 XorT 96778B25AE6CA435 F92B5B97C050AED2 468AB8A17AD84E5D
 Output:
 Ciphertext:  96778B25AE6CA435 F92B5B97C050AED2 468AB8A17AD84E5D

Schaad & Housley Informational [Page 12] RFC 3394 AES Key Wrap Algorithm September 2002

 Unwrap:
 Step t       A               R1               R2
 12
 In   96778B25AE6CA435 F92B5B97C050AED2 468AB8A17AD84E5D
 XorT 96778B25AE6CA439 F92B5B97C050AED2 468AB8A17AD84E5D
 Dec  B68BF270AE815444 F92B5B97C050AED2 EB24CCFA52EA9078
 11
 In   B68BF270AE815444 F92B5B97C050AED2 EB24CCFA52EA9078
 XorT B68BF270AE81544F F92B5B97C050AED2 EB24CCFA52EA9078
 Dec  BF17BD6A9BC80169 4D5B3DFE7C04ABBA EB24CCFA52EA9078
 10
 In   BF17BD6A9BC80169 4D5B3DFE7C04ABBA EB24CCFA52EA9078
 XorT BF17BD6A9BC80163 4D5B3DFE7C04ABBA EB24CCFA52EA9078
 Dec  57ADA800299C2E8C 4D5B3DFE7C04ABBA 89F0D6C06F8CA9B4
 9
 In   57ADA800299C2E8C 4D5B3DFE7C04ABBA 89F0D6C06F8CA9B4
 XorT 57ADA800299C2E85 4D5B3DFE7C04ABBA 89F0D6C06F8CA9B4
 Dec  5933A9195B5F5E29 D40B091CDBAC0340 89F0D6C06F8CA9B4
 8
 In   5933A9195B5F5E29 D40B091CDBAC0340 89F0D6C06F8CA9B4
 XorT 5933A9195B5F5E21 D40B091CDBAC0340 89F0D6C06F8CA9B4
 Dec  79F849444F4B8AAF D40B091CDBAC0340 05A2D8FB4DD5BD7A
 7
 In   79F849444F4B8AAF D40B091CDBAC0340 05A2D8FB4DD5BD7A
 XorT 79F849444F4B8AA8 D40B091CDBAC0340 05A2D8FB4DD5BD7A
 Dec  AE2D0B76A6951EEC 429487269D3A0016 05A2D8FB4DD5BD7A
 6
 In   AE2D0B76A6951EEC 429487269D3A0016 05A2D8FB4DD5BD7A
 XorT AE2D0B76A6951EEA 429487269D3A0016 05A2D8FB4DD5BD7A
 Dec  15D4B63F66583812 429487269D3A0016 05FC2D8F8FF4B919
 5
 In   15D4B63F66583812 429487269D3A0016 05FC2D8F8FF4B919
 XorT 15D4B63F66583817 429487269D3A0016 05FC2D8F8FF4B919
 Dec  02A97C5897140591 BC164F51E20CC983 05FC2D8F8FF4B919
 4
 In   02A97C5897140591 BC164F51E20CC983 05FC2D8F8FF4B919
 XorT 02A97C5897140595 BC164F51E20CC983 05FC2D8F8FF4B919
 Dec  7B8E343CA51CF8A8 BC164F51E20CC983 51F22F3286758A2D

Schaad & Housley Informational [Page 13] RFC 3394 AES Key Wrap Algorithm September 2002

 3
 In   7B8E343CA51CF8A8 BC164F51E20CC983 51F22F3286758A2D
 XorT 7B8E343CA51CF8AB BC164F51E20CC983 51F22F3286758A2D
 Dec  9D9B32B9ED742E00 351D385096CCFB29 51F22F3286758A2D
 2
 In   9D9B32B9ED742E00 351D385096CCFB29 51F22F3286758A2D
 XorT 9D9B32B9ED742E02 351D385096CCFB29 51F22F3286758A2D
 Dec  DFE8FD5D1A3786A6 351D385096CCFB29 8899AABBCCDDEEFF
 1
 In   DFE8FD5D1A3786A6 351D385096CCFB29 8899AABBCCDDEEFF
 XorT DFE8FD5D1A3786A7 351D385096CCFB29 8899AABBCCDDEEFF
 Dec  A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
 Plaintext A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
 Output:
 Key Data:  00112233445566778899AABBCCDDEEFF

4.3 Wrap 128 bits of Key Data with a 256-bit KEK

 Input:
 KEK:000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F
 Key Data:    00112233445566778899AABBCCDDEEFF
 Wrap:
 Step t       A               R1               R2
 1
 In   A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
 Enc  794314D454E3FDE1 F661BD9F31FBFA31 8899AABBCCDDEEFF
 XorT 794314D454E3FDE0 F661BD9F31FBFA31 8899AABBCCDDEEFF
 2
 In   794314D454E3FDE0 F661BD9F31FBFA31 8899AABBCCDDEEFF
 Enc  D450EA5C5BBCB561 F661BD9F31FBFA31 F60E0CDB7F429FE8
 XorT D450EA5C5BBCB563 F661BD9F31FBFA31 F60E0CDB7F429FE8
 3
 In   D450EA5C5BBCB563 F661BD9F31FBFA31 F60E0CDB7F429FE8
 Enc  85DBDF1879D5C0A5 5602001BFA07AD8B F60E0CDB7F429FE8
 XorT 85DBDF1879D5C0A6 5602001BFA07AD8B F60E0CDB7F429FE8

Schaad & Housley Informational [Page 14] RFC 3394 AES Key Wrap Algorithm September 2002

 4
 In   85DBDF1879D5C0A6 5602001BFA07AD8B F60E0CDB7F429FE8
 Enc  738C291128B7226D 5602001BFA07AD8B 58924F777C3F678C
 XorT 738C291128B72269 5602001BFA07AD8B 58924F777C3F678C
 5
 In   738C291128B72269 5602001BFA07AD8B 58924F777C3F678C
 Enc  2656A02DFFF054DC F4DF378183E3D5B2 58924F777C3F678C
 XorT 2656A02DFFF054D9 F4DF378183E3D5B2 58924F777C3F678C
 6
 In   2656A02DFFF054D9 F4DF378183E3D5B2 58924F777C3F678C
 Enc  DDFD0C0E8B52A63A F4DF378183E3D5B2 91AC1D36A964F41B
 XorT DDFD0C0E8B52A63C F4DF378183E3D5B2 91AC1D36A964F41B
 7
 In   DDFD0C0E8B52A63C F4DF378183E3D5B2 91AC1D36A964F41B
 Enc  39AB00D4AE4399EA 5271D5CED80F34ED 91AC1D36A964F41B
 XorT 39AB00D4AE4399ED 5271D5CED80F34ED 91AC1D36A964F41B
 8
 In   39AB00D4AE4399ED 5271D5CED80F34ED 91AC1D36A964F41B
 Enc  4CE414878463EAAC 5271D5CED80F34ED 67D8ED899E7929B8
 XorT 4CE414878463EAA4 5271D5CED80F34ED 67D8ED899E7929B8
 9
 In   4CE414878463EAA4 5271D5CED80F34ED 67D8ED899E7929B8
 Enc  FBB44DB106AA0789 0DF7E50829123648 67D8ED899E7929B8
 XorT FBB44DB106AA0780 0DF7E50829123648 67D8ED899E7929B8
 10
 In   FBB44DB106AA0780 0DF7E50829123648 67D8ED899E7929B8
 Enc  877112A7308ADCC5 0DF7E50829123648 3472D5993D318FD2
 XorT 877112A7308ADCCF 0DF7E50829123648 3472D5993D318FD2
 11
 In   877112A7308ADCCF 0DF7E50829123648 3472D5993D318FD2
 Enc  78E40190807CC151 63E9777905818A2A 3472D5993D318FD2
 XorT 78E40190807CC15A 63E9777905818A2A 3472D5993D318FD2
 12
 In   78E40190807CC15A 63E9777905818A2A 3472D5993D318FD2
 Enc  64E8C3F9CE0F5BAE 63E9777905818A2A 93C8191E7D6E8AE7
 XorT 64E8C3F9CE0F5BA2 63E9777905818A2A 93C8191E7D6E8AE7
 Output:
 Ciphertext:  64E8C3F9CE0F5BA2 63E9777905818A2A 93C8191E7D6E8AE7

Schaad & Housley Informational [Page 15] RFC 3394 AES Key Wrap Algorithm September 2002

 Unwrap:
 Step t       A               R1               R2
 12
 In   64E8C3F9CE0F5BA2 63E9777905818A2A 93C8191E7D6E8AE7
 XorT 64E8C3F9CE0F5BAE 63E9777905818A2A 93C8191E7D6E8AE7
 Dec  78E40190807CC15A 63E9777905818A2A 3472D5993D318FD2
 11
 In   78E40190807CC15A 63E9777905818A2A 3472D5993D318FD2
 XorT 78E40190807CC151 63E9777905818A2A 3472D5993D318FD2
 Dec  877112A7308ADCCF 0DF7E50829123648 3472D5993D318FD2
 10
 In   877112A7308ADCCF 0DF7E50829123648 3472D5993D318FD2
 XorT 877112A7308ADCC5 0DF7E50829123648 3472D5993D318FD2
 Dec  FBB44DB106AA0780 0DF7E50829123648 67D8ED899E7929B8
 9
 In   FBB44DB106AA0780 0DF7E50829123648 67D8ED899E7929B8
 XorT FBB44DB106AA0789 0DF7E50829123648 67D8ED899E7929B8
 Dec  4CE414878463EAA4 5271D5CED80F34ED 67D8ED899E7929B8
 8
 In   4CE414878463EAA4 5271D5CED80F34ED 67D8ED899E7929B8
 XorT 4CE414878463EAAC 5271D5CED80F34ED 67D8ED899E7929B8
 Dec  39AB00D4AE4399ED 5271D5CED80F34ED 91AC1D36A964F41B
 7
 In   39AB00D4AE4399ED 5271D5CED80F34ED 91AC1D36A964F41B
 XorT 39AB00D4AE4399EA 5271D5CED80F34ED 91AC1D36A964F41B
 Dec  DDFD0C0E8B52A63C F4DF378183E3D5B2 91AC1D36A964F41B
 6
 In   DDFD0C0E8B52A63C F4DF378183E3D5B2 91AC1D36A964F41B
 XorT DDFD0C0E8B52A63A F4DF378183E3D5B2 91AC1D36A964F41B
 Dec  2656A02DFFF054D9 F4DF378183E3D5B2 58924F777C3F678C
 5
 In   2656A02DFFF054D9 F4DF378183E3D5B2 58924F777C3F678C
 XorT 2656A02DFFF054DC F4DF378183E3D5B2 58924F777C3F678C
 Dec  738C291128B72269 5602001BFA07AD8B 58924F777C3F678C
 4
 In   738C291128B72269 5602001BFA07AD8B 58924F777C3F678C
 XorT 738C291128B7226D 5602001BFA07AD8B 58924F777C3F678C
 Dec  85DBDF1879D5C0A6 5602001BFA07AD8B F60E0CDB7F429FE8

Schaad & Housley Informational [Page 16] RFC 3394 AES Key Wrap Algorithm September 2002

 3
 In   85DBDF1879D5C0A6 5602001BFA07AD8B F60E0CDB7F429FE8
 XorT 85DBDF1879D5C0A5 5602001BFA07AD8B F60E0CDB7F429FE8
 Dec  D450EA5C5BBCB563 F661BD9F31FBFA31 F60E0CDB7F429FE8
 2
 In   D450EA5C5BBCB563 F661BD9F31FBFA31 F60E0CDB7F429FE8
 XorT D450EA5C5BBCB561 F661BD9F31FBFA31 F60E0CDB7F429FE8
 Dec  794314D454E3FDE0 F661BD9F31FBFA31 8899AABBCCDDEEFF
 1
 In   794314D454E3FDE0 F661BD9F31FBFA31 8899AABBCCDDEEFF
 XorT 794314D454E3FDE1 F661BD9F31FBFA31 8899AABBCCDDEEFF
 Dec  A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
 Plaintext A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
 Output:
 Key Data:  00112233445566778899AABBCCDDEEFF

4.4 Wrap 192 bits of Key Data with a 192-bit KEK

 Input:
 KEK:       000102030405060708090A0B0C0D0E0F1011121314151617
 Key Data:  00112233445566778899AABBCCDDEEFF0001020304050607
 Wrap:
 Step t     A/R3             R1               R2
 1
 In   A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
      0001020304050607
 Enc  DFE8FD5D1A3786A7 351D385096CCFB29 8899AABBCCDDEEFF
      0001020304050607
 XorT DFE8FD5D1A3786A6 351D385096CCFB29 8899AABBCCDDEEFF
      0001020304050607
 2
 In   DFE8FD5D1A3786A6 351D385096CCFB29 8899AABBCCDDEEFF
      0001020304050607
 Enc  9D9B32B9ED742E02 351D385096CCFB29 51F22F3286758A2D
      0001020304050607
 XorT 9D9B32B9ED742E00 351D385096CCFB29 51F22F3286758A2D
      0001020304050607

Schaad & Housley Informational [Page 17] RFC 3394 AES Key Wrap Algorithm September 2002

 3
 In   9D9B32B9ED742E00 351D385096CCFB29 51F22F3286758A2D
      0001020304050607
 Enc  2C8E19A519025B7C 351D385096CCFB29 51F22F3286758A2D
      FF540E514DE120A3
 XorT 2C8E19A519025B7F 351D385096CCFB29 51F22F3286758A2D
      FF540E514DE120A3
 4
 In   2C8E19A519025B7F 351D385096CCFB29 51F22F3286758A2D
      FF540E514DE120A3
 Enc  E727C7BDF822602E A08DAA041D17BBBA 51F22F3286758A2D
      FF540E514DE120A3
 XorT E727C7BDF822602A A08DAA041D17BBBA 51F22F3286758A2D
      FF540E514DE120A3
 5
 In   E727C7BDF822602A A08DAA041D17BBBA 51F22F3286758A2D
      FF540E514DE120A3
 Enc  15B61F7B25D51700 A08DAA041D17BBBA AE82BC1118A5DEA4
      FF540E514DE120A3
 XorT 15B61F7B25D51705 A08DAA041D17BBBA AE82BC1118A5DEA4
      FF540E514DE120A3
 6
 In   15B61F7B25D51705 A08DAA041D17BBBA AE82BC1118A5DEA4
      FF540E514DE120A3
 Enc  A187755AEA64719C A08DAA041D17BBBA AE82BC1118A5DEA4
      D1E708FD13778787
 XorT A187755AEA64719A A08DAA041D17BBBA AE82BC1118A5DEA4
      D1E708FD13778787
 7
 In   A187755AEA64719A A08DAA041D17BBBA AE82BC1118A5DEA4
      D1E708FD13778787
 Enc  5A994895D81644B7 926ED65A9E853FD9 AE82BC1118A5DEA4
      D1E708FD13778787
 XorT 5A994895D81644B0 926ED65A9E853FD9 AE82BC1118A5DEA4
      D1E708FD13778787
 8
 In   5A994895D81644B0 926ED65A9E853FD9 AE82BC1118A5DEA4
      D1E708FD13778787
 Enc  864F408C8AB8CDCF 926ED65A9E853FD9 552A09E141D08AE3
      D1E708FD13778787
 XorT 864F408C8AB8CDC7 926ED65A9E853FD9 552A09E141D08AE3
      D1E708FD13778787

Schaad & Housley Informational [Page 18] RFC 3394 AES Key Wrap Algorithm September 2002

 9
 In   864F408C8AB8CDC7 926ED65A9E853FD9 552A09E141D08AE3
      D1E708FD13778787
 Enc  53F4373F575EB7A4 926ED65A9E853FD9 552A09E141D08AE3
      ED5E8456E61BD295
 XorT 53F4373F575EB7AD 926ED65A9E853FD9 552A09E141D08AE3
      ED5E8456E61BD295
 10
 In   53F4373F575EB7AD 926ED65A9E853FD9 552A09E141D08AE3
      ED5E8456E61BD295
 Enc  9EAA4CDA0B1BA5FF 98883EDC6B080FB5 552A09E141D08AE3
      ED5E8456E61BD295
 XorT 9EAA4CDA0B1BA5F5 98883EDC6B080FB5 552A09E141D08AE3
      ED5E8456E61BD295
 11
 In   9EAA4CDA0B1BA5F5 98883EDC6B080FB5 552A09E141D08AE3
      ED5E8456E61BD295
 Enc  B1B9902C68E0EB52 98883EDC6B080FB5 63F6D88A0663FEF9
      ED5E8456E61BD295
 XorT B1B9902C68E0EB59 98883EDC6B080FB5 63F6D88A0663FEF9
      ED5E8456E61BD295
 12
 In   B1B9902C68E0EB59 98883EDC6B080FB5 63F6D88A0663FEF9
      ED5E8456E61BD295
 Enc  FCE591D77709A6E0 98883EDC6B080FB5 63F6D88A0663FEF9
      463437433A93EFE5
 XorT FCE591D77709A6EC 98883EDC6B080FB5 63F6D88A0663FEF9
      463437433A93EFE5
 13
 In   FCE591D77709A6EC 98883EDC6B080FB5 63F6D88A0663FEF9
      463437433A93EFE5
 Enc  428428D2BD88CF58 C46965F34EFB2261 63F6D88A0663FEF9
      463437433A93EFE5
 XorT 428428D2BD88CF55 C46965F34EFB2261 63F6D88A0663FEF9
      463437433A93EFE5
 14
 In   428428D2BD88CF55 C46965F34EFB2261 63F6D88A0663FEF9
      463437433A93EFE5
 Enc  6AC861AB961DA578 C46965F34EFB2261 56E3CEE892BBEFC4
      463437433A93EFE5
 XorT 6AC861AB961DA576 C46965F34EFB2261 56E3CEE892BBEFC4
      463437433A93EFE5

Schaad & Housley Informational [Page 19] RFC 3394 AES Key Wrap Algorithm September 2002

 15
 In   6AC861AB961DA576 C46965F34EFB2261 56E3CEE892BBEFC4
      463437433A93EFE5
 Enc  E80DB49CC9A1EA61 C46965F34EFB2261 56E3CEE892BBEFC4
      84943C8C67FCFD53
 XorT E80DB49CC9A1EA6E C46965F34EFB2261 56E3CEE892BBEFC4
      84943C8C67FCFD53
 16
 In   E80DB49CC9A1EA6E C46965F34EFB2261 56E3CEE892BBEFC4
      84943C8C67FCFD53
 Enc  ABEE3534AC465C2C 68F24EC260743EDC 56E3CEE892BBEFC4
      84943C8C67FCFD53
 XorT ABEE3534AC465C3C 68F24EC260743EDC 56E3CEE892BBEFC4
      84943C8C67FCFD53
 17
 In   ABEE3534AC465C3C 68F24EC260743EDC 56E3CEE892BBEFC4
      84943C8C67FCFD53
 Enc  E7CC8D8CEDE62BF7 68F24EC260743EDC E1C6C7DDEE725A93
      84943C8C67FCFD53
 XorT E7CC8D8CEDE62BE6 68F24EC260743EDC E1C6C7DDEE725A93
      84943C8C67FCFD53
 18
 In   E7CC8D8CEDE62BE6 68F24EC260743EDC E1C6C7DDEE725A93
      84943C8C67FCFD53
 Enc  031D33264E15D320 68F24EC260743EDC E1C6C7DDEE725A93
      6BA814915C6762D2
 XorT 031D33264E15D332 68F24EC260743EDC E1C6C7DDEE725A93
      6BA814915C6762D2
 Output:
 Ciphertext  031D33264E15D332 68F24EC260743EDC E1C6C7DDEE725A93
             6BA814915C6762D2
 Unwrap:
 Step t     A/R3             R1               R2
 18
 In   031D33264E15D332 68F24EC260743EDC E1C6C7DDEE725A93
      6BA814915C6762D2
 XorT 031D33264E15D320 68F24EC260743EDC E1C6C7DDEE725A93
      6BA814915C6762D2
 Dec  E7CC8D8CEDE62BE6 68F24EC260743EDC E1C6C7DDEE725A93
      84943C8C67FCFD53

Schaad & Housley Informational [Page 20] RFC 3394 AES Key Wrap Algorithm September 2002

 17
 In   E7CC8D8CEDE62BE6 68F24EC260743EDC E1C6C7DDEE725A93
      84943C8C67FCFD53
 XorT E7CC8D8CEDE62BF7 68F24EC260743EDC E1C6C7DDEE725A93
      84943C8C67FCFD53
 Dec  ABEE3534AC465C3C 68F24EC260743EDC 56E3CEE892BBEFC4
      84943C8C67FCFD53
 16
 In   ABEE3534AC465C3C 68F24EC260743EDC 56E3CEE892BBEFC4
      84943C8C67FCFD53
 XorT ABEE3534AC465C2C 68F24EC260743EDC 56E3CEE892BBEFC4
      84943C8C67FCFD53
 Dec  E80DB49CC9A1EA6E C46965F34EFB2261 56E3CEE892BBEFC4
      84943C8C67FCFD53
 15
 In   E80DB49CC9A1EA6E C46965F34EFB2261 56E3CEE892BBEFC4
      84943C8C67FCFD53
 XorT E80DB49CC9A1EA61 C46965F34EFB2261 56E3CEE892BBEFC4
      84943C8C67FCFD53
 Dec  6AC861AB961DA576 C46965F34EFB2261 56E3CEE892BBEFC4
      463437433A93EFE5
 14
 In   6AC861AB961DA576 C46965F34EFB2261 56E3CEE892BBEFC4
      463437433A93EFE5
 XorT 6AC861AB961DA578 C46965F34EFB2261 56E3CEE892BBEFC4
      463437433A93EFE5
 Dec  428428D2BD88CF55 C46965F34EFB2261 63F6D88A0663FEF9
      463437433A93EFE5
 13
 In   428428D2BD88CF55 C46965F34EFB2261 63F6D88A0663FEF9
      463437433A93EFE5
 XorT 428428D2BD88CF58 C46965F34EFB2261 63F6D88A0663FEF9
      463437433A93EFE5
 Dec  FCE591D77709A6EC 98883EDC6B080FB5 63F6D88A0663FEF9
      463437433A93EFE5
 12
 In   FCE591D77709A6EC 98883EDC6B080FB5 63F6D88A0663FEF9
      463437433A93EFE5
 XorT FCE591D77709A6E0 98883EDC6B080FB5 63F6D88A0663FEF9
      463437433A93EFE5
 Dec  B1B9902C68E0EB59 98883EDC6B080FB5 63F6D88A0663FEF9
      ED5E8456E61BD295

Schaad & Housley Informational [Page 21] RFC 3394 AES Key Wrap Algorithm September 2002

 11
 In   B1B9902C68E0EB59 98883EDC6B080FB5 63F6D88A0663FEF9
      ED5E8456E61BD295
 XorT B1B9902C68E0EB52 98883EDC6B080FB5 63F6D88A0663FEF9
      ED5E8456E61BD295
 Dec  9EAA4CDA0B1BA5F5 98883EDC6B080FB5 552A09E141D08AE3
      ED5E8456E61BD295
 10
 In   9EAA4CDA0B1BA5F5 98883EDC6B080FB5 552A09E141D08AE3
      ED5E8456E61BD295
 XorT 9EAA4CDA0B1BA5FF 98883EDC6B080FB5 552A09E141D08AE3
      ED5E8456E61BD295
 Dec  53F4373F575EB7AD 926ED65A9E853FD9 552A09E141D08AE3
      ED5E8456E61BD295
 9
 In   53F4373F575EB7AD 926ED65A9E853FD9 552A09E141D08AE3
      ED5E8456E61BD295
 XorT 53F4373F575EB7A4 926ED65A9E853FD9 552A09E141D08AE3
      ED5E8456E61BD295
 Dec  864F408C8AB8CDC7 926ED65A9E853FD9 552A09E141D08AE3
      D1E708FD13778787
 8
 In   864F408C8AB8CDC7 926ED65A9E853FD9 552A09E141D08AE3
      D1E708FD13778787
 XorT 864F408C8AB8CDCF 926ED65A9E853FD9 552A09E141D08AE3
      D1E708FD13778787
 Dec  5A994895D81644B0 926ED65A9E853FD9 AE82BC1118A5DEA4
      D1E708FD13778787
 7
 In   5A994895D81644B0 926ED65A9E853FD9 AE82BC1118A5DEA4
      D1E708FD13778787
 XorT 5A994895D81644B7 926ED65A9E853FD9 AE82BC1118A5DEA4
      D1E708FD13778787
 Dec  A187755AEA64719A A08DAA041D17BBBA AE82BC1118A5DEA4
      D1E708FD13778787
 6
 In   A187755AEA64719A A08DAA041D17BBBA AE82BC1118A5DEA4
      D1E708FD13778787
 XorT A187755AEA64719C A08DAA041D17BBBA AE82BC1118A5DEA4
      D1E708FD13778787
 Dec  15B61F7B25D51705 A08DAA041D17BBBA AE82BC1118A5DEA4
      FF540E514DE120A3

Schaad & Housley Informational [Page 22] RFC 3394 AES Key Wrap Algorithm September 2002

 5
 In   15B61F7B25D51705 A08DAA041D17BBBA AE82BC1118A5DEA4
      FF540E514DE120A3
 XorT 15B61F7B25D51700 A08DAA041D17BBBA AE82BC1118A5DEA4
      FF540E514DE120A3
 Dec  E727C7BDF822602A A08DAA041D17BBBA 51F22F3286758A2D
      FF540E514DE120A3
 4
 In   E727C7BDF822602A A08DAA041D17BBBA 51F22F3286758A2D
      FF540E514DE120A3
 XorT E727C7BDF822602E A08DAA041D17BBBA 51F22F3286758A2D
      FF540E514DE120A3
 Dec  2C8E19A519025B7F 351D385096CCFB29 51F22F3286758A2D
      FF540E514DE120A3
 3
 In   2C8E19A519025B7F 351D385096CCFB29 51F22F3286758A2D
      FF540E514DE120A3
 XorT 2C8E19A519025B7C 351D385096CCFB29 51F22F3286758A2D
      FF540E514DE120A3
 Dec  9D9B32B9ED742E00 351D385096CCFB29 51F22F3286758A2D
      0001020304050607
 2
 In   9D9B32B9ED742E00 351D385096CCFB29 51F22F3286758A2D
      0001020304050607
 XorT 9D9B32B9ED742E02 351D385096CCFB29 51F22F3286758A2D
      0001020304050607
 Dec  DFE8FD5D1A3786A6 351D385096CCFB29 8899AABBCCDDEEFF
      0001020304050607
 1
 In   DFE8FD5D1A3786A6 351D385096CCFB29 8899AABBCCDDEEFF
      0001020304050607
 XorT DFE8FD5D1A3786A7 351D385096CCFB29 8899AABBCCDDEEFF
      0001020304050607
 Dec  A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
      0001020304050607
 Plaintext  A6A6A6A6A6A6A6A6 0011223344556677
            8899AABBCCDDEEFF 0001020304050607
 Output:
 Key Data:  00112233445566778899AABBCCDDEEFF0001020304050607

Schaad & Housley Informational [Page 23] RFC 3394 AES Key Wrap Algorithm September 2002

4.5 Wrap 192 bits of Key Data with a 256-bit KEK

 Input:
 KEK:
   000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F
 Key Data:    00112233445566778899AABBCCDDEEFF0001020304050607
 Wrap:
 Step t     A/R3             R1               R2
 1
 In   A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
      0001020304050607
 Enc  794314D454E3FDE1 F661BD9F31FBFA31 8899AABBCCDDEEFF
      0001020304050607
 XorT 794314D454E3FDE0 F661BD9F31FBFA31 8899AABBCCDDEEFF
      0001020304050607
 2
 In   794314D454E3FDE0 F661BD9F31FBFA31 8899AABBCCDDEEFF
      0001020304050607
 Enc  D450EA5C5BBCB561 F661BD9F31FBFA31 F60E0CDB7F429FE8
      0001020304050607
 XorT D450EA5C5BBCB563 F661BD9F31FBFA31 F60E0CDB7F429FE8
      0001020304050607
 3
 In   D450EA5C5BBCB563 F661BD9F31FBFA31 F60E0CDB7F429FE8
      0001020304050607
 Enc  9DF8F5405FBC00C1 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154
 XorT 9DF8F5405FBC00C2 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154
 4
 In   9DF8F5405FBC00C2 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154
 Enc  F1D28EA6295891EC 0CC86A4D9B9C6A31 F60E0CDB7F429FE8
      6CA405593A3B5154
 XorT F1D28EA6295891E8 0CC86A4D9B9C6A31 F60E0CDB7F429FE8
      6CA405593A3B5154

Schaad & Housley Informational [Page 24] RFC 3394 AES Key Wrap Algorithm September 2002

 5
 In   F1D28EA6295891E8 0CC86A4D9B9C6A31 F60E0CDB7F429FE8
      6CA405593A3B5154
 Enc  BF213BFD04E8A24F 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
      6CA405593A3B5154
 XorT BF213BFD04E8A24A 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
      6CA405593A3B5154
 6
 In   BF213BFD04E8A24A 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
      6CA405593A3B5154
 Enc  6F85BFBDB7E880E3 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
      39EBC1A1A53FF55B
 XorT 6F85BFBDB7E880E5 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
      39EBC1A1A53FF55B
 7
 In   6F85BFBDB7E880E5 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
      39EBC1A1A53FF55B
 Enc  D532789E4E79D819 444F92BF78E77BB1 AEBE2D5C8BF747A9
      39EBC1A1A53FF55B
 XorT D532789E4E79D81E 444F92BF78E77BB1 AEBE2D5C8BF747A9
      39EBC1A1A53FF55B
 8
 In   D532789E4E79D81E 444F92BF78E77BB1 AEBE2D5C8BF747A9
      39EBC1A1A53FF55B
 Enc  2A5FFCEF1F1916D8 444F92BF78E77BB1 C6874607903270CD
      39EBC1A1A53FF55B
 XorT 2A5FFCEF1F1916D0 444F92BF78E77BB1 C6874607903270CD
      39EBC1A1A53FF55B
 9
 In   2A5FFCEF1F1916D0 444F92BF78E77BB1 C6874607903270CD
      39EBC1A1A53FF55B
 Enc  01271BA91D9804F6 444F92BF78E77BB1 C6874607903270CD
      740A273461ED82C6
 XorT 01271BA91D9804FF 444F92BF78E77BB1 C6874607903270CD
      740A273461ED82C6
 10
 In   01271BA91D9804FF 444F92BF78E77BB1 C6874607903270CD
      740A273461ED82C6
 Enc  A3223BD7237F7033 FB1611A83BEB567F C6874607903270CD
      740A273461ED82C6
 XorT A3223BD7237F7039 FB1611A83BEB567F C6874607903270CD
      740A273461ED82C6

Schaad & Housley Informational [Page 25] RFC 3394 AES Key Wrap Algorithm September 2002

 11
 In   A3223BD7237F7039 FB1611A83BEB567F C6874607903270CD
      740A273461ED82C6
 Enc  B50C330616E7B1C7 FB1611A83BEB567F 73EDC8CB9322C34E
      740A273461ED82C6
 XorT B50C330616E7B1CC FB1611A83BEB567F 73EDC8CB9322C34E
      740A273461ED82C6
 12
 In   B50C330616E7B1CC FB1611A83BEB567F 73EDC8CB9322C34E
      740A273461ED82C6
 Enc  FB8AFF3F083E12CE FB1611A83BEB567F 73EDC8CB9322C34E
      0B08CFDF48020F0D
 XorT FB8AFF3F083E12C2 FB1611A83BEB567F 73EDC8CB9322C34E
      0B08CFDF48020F0D
 13
 In   FB8AFF3F083E12C2 FB1611A83BEB567F 73EDC8CB9322C34E
      0B08CFDF48020F0D
 Enc  82F597607784A33C FB1F2965FCE1E783 73EDC8CB9322C34E
      0B08CFDF48020F0D
 XorT 82F597607784A331 FB1F2965FCE1E783 73EDC8CB9322C34E
      0B08CFDF48020F0D
 14
 In   82F597607784A331 FB1F2965FCE1E783 73EDC8CB9322C34E
      0B08CFDF48020F0D
 Enc  D48E5E83B7C906DB FB1F2965FCE1E783 D36F4FFBA2C82ED9
      0B08CFDF48020F0D
 XorT D48E5E83B7C906D5 FB1F2965FCE1E783 D36F4FFBA2C82ED9
      0B08CFDF48020F0D
 15
 In   D48E5E83B7C906D5 FB1F2965FCE1E783 D36F4FFBA2C82ED9
      0B08CFDF48020F0D
 Enc  1BF2B1CD947311B6 FB1F2965FCE1E783 D36F4FFBA2C82ED9
      C490C33642717146
 XorT 1BF2B1CD947311B9 FB1F2965FCE1E783 D36F4FFBA2C82ED9
      C490C33642717146
 16
 In   1BF2B1CD947311B9 FB1F2965FCE1E783 D36F4FFBA2C82ED9
      C490C33642717146
 Enc  C9F5F26A378011DE F6E6F4FBE30E71E4 D36F4FFBA2C82ED9
      C490C33642717146
 XorT C9F5F26A378011CE F6E6F4FBE30E71E4 D36F4FFBA2C82ED9
      C490C33642717146

Schaad & Housley Informational [Page 26] RFC 3394 AES Key Wrap Algorithm September 2002

 17
 In   C9F5F26A378011CE F6E6F4FBE30E71E4 D36F4FFBA2C82ED9
      C490C33642717146
 Enc  39128CE5E435F3A0 F6E6F4FBE30E71E4 769C8B80A32CB895
      C490C33642717146
 XorT 39128CE5E4325F3B1 F6E6F4FBE30E71E4 769C8B80A32CB895
      C490C33642717146
 18
 In   39128CE5E435F3B1 F6E6F4FBE30E71E4 769C8B80A32CB895
      C490C33642717146
 Enc  A8F9BC1612C68B2D F6E6F4FBE30E71E4 769C8B80A32CB895
      8CD5D17D6B254DA1
 XorT A8F9BC1612C68B3F F6E6F4FBE30E71E4 769C8B80A32CB895
      8CD5D17D6B254DA1
 Ciphertext   A8F9BC1612C68B3F F6E6F4FBE30E71E4
              769C8B80A32CB895 8CD5D17D6B254DA1
 Unwrap:
 Step t     A/R3             R1               R2
 18
 In   A8F9BC1612C68B3F F6E6F4FBE30E71E4 769C8B80A32CB895
      8CD5D17D6B254DA1
 XorT A8F9BC1612C68B2D F6E6F4FBE30E71E4 769C8B80A32CB895
      8CD5D17D6B254DA1
 Dec  39128CE5E435F3B1 F6E6F4FBE30E71E4 769C8B80A32CB895
      C490C33642717146
 17
 In   39128CE5E435F3B1 F6E6F4FBE30E71E4 769C8B80A32CB895
      C490C33642717146
 XorT 39128CE5E435F3A0 F6E6F4FBE30E71E4 769C8B80A32CB895
      C490C33642717146
 Dec  C9F5F26A378011CE F6E6F4FBE30E71E4 D36F4FFBA2C82ED9
      C490C33642717146
 16
 In   C9F5F26A378011CE F6E6F4FBE30E71E4 D36F4FFBA2C82ED9
      C490C33642717146
 XorT C9F5F26A378011DE F6E6F4FBE30E71E4 D36F4FFBA2C82ED9
      C490C33642717146
 Dec  1BF2B1CD947311B9 FB1F2965FCE1E783 D36F4FFBA2C82ED9
      C490C33642717146

Schaad & Housley Informational [Page 27] RFC 3394 AES Key Wrap Algorithm September 2002

 15
 In   1BF2B1CD947311B9 FB1F2965FCE1E783 D36F4FFBA2C82ED9
      C490C33642717146
 XorT 1BF2B1CD947311B6 FB1F2965FCE1E783 D36F4FFBA2C82ED9
      C490C33642717146
 Dec  D48E5E83B7C906D5 FB1F2965FCE1E783 D36F4FFBA2C82ED9
      0B08CFDF48020F0D
 14
 In   D48E5E83B7C906D5 FB1F2965FCE1E783 D36F4FFBA2C82ED9
      0B08CFDF48020F0D
 XorT D48E5E83B7C906DB FB1F2965FCE1E783 D36F4FFBA2C82ED9
      0B08CFDF48020F0D
 Dec  82F597607784A331 FB1F2965FCE1E783 73EDC8CB9322C34E
      0B08CFDF48020F0D
 13
 In   82F597607784A331 FB1F2965FCE1E783 73EDC8CB9322C34E
      0B08CFDF48020F0D
 XorT 82F597607784A33C FB1F2965FCE1E783 73EDC8CB9322C34E
      0B08CFDF48020F0D
 Dec  FB8AFF3F083E12C2 FB1611A83BEB567F 73EDC8CB9322C34E
      0B08CFDF48020F0D
 12
 In   FB8AFF3F083E12C2 FB1611A83BEB567F 73EDC8CB9322C34E
      0B08CFDF48020F0D
 XorT FB8AFF3F083E12CE FB1611A83BEB567F 73EDC8CB9322C34E
      0B08CFDF48020F0D
 Dec  B50C330616E7B1CC FB1611A83BEB567F 73EDC8CB9322C34E
      740A273461ED82C6
 11
 In   B50C330616E7B1CC FB1611A83BEB567F 73EDC8CB9322C34E
      740A273461ED82C6
 XorT B50C330616E7B1C7 FB1611A83BEB567F 73EDC8CB9322C34E
      740A273461ED82C6
 Dec  A3223BD7237F7039 FB1611A83BEB567F C6874607903270CD
      740A273461ED82C6
 10
 In   A3223BD7237F7039 FB1611A83BEB567F C6874607903270CD
      740A273461ED82C6
 XorT A3223BD7237F7033 FB1611A83BEB567F C6874607903270CD
      740A273461ED82C6
 Dec  01271BA91D9804FF 444F92BF78E77BB1 C6874607903270CD
      740A273461ED82C6

Schaad & Housley Informational [Page 28] RFC 3394 AES Key Wrap Algorithm September 2002

 9
 In   01271BA91D9804FF 444F92BF78E77BB1 C6874607903270CD
      740A273461ED82C6
 XorT 01271BA91D9804F6 444F92BF78E77BB1 C6874607903270CD
      740A273461ED82C6
 Dec  2A5FFCEF1F1916D0 444F92BF78E77BB1 C6874607903270CD
      39EBC1A1A53FF55B
 8
 In   2A5FFCEF1F1916D0 444F92BF78E77BB1 C6874607903270CD
      39EBC1A1A53FF55B
 XorT 2A5FFCEF1F1916D8 444F92BF78E77BB1 C6874607903270CD
      39EBC1A1A53FF55B
 Dec  D532789E4E79D81E 444F92BF78E77BB1 AEBE2D5C8BF747A9
      39EBC1A1A53FF55B
 7
 In   D532789E4E79D81E 444F92BF78E77BB1 AEBE2D5C8BF747A9
      39EBC1A1A53FF55B
 XorT D532789E4E79D819 444F92BF78E77BB1 AEBE2D5C8BF747A9
      39EBC1A1A53FF55B
 Dec  6F85BFBDB7E880E5 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
      39EBC1A1A53FF55B
 6
 In   6F85BFBDB7E880E5 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
      39EBC1A1A53FF55B
 XorT 6F85BFBDB7E880E3 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
      39EBC1A1A53FF55B
 Dec  BF213BFD04E8A24A 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
      6CA405593A3B5154
 5
 In   BF213BFD04E8A24A 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
      6CA405593A3B5154
 XorT BF213BFD04E8A24F 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
      6CA405593A3B5154
 Dec  F1D28EA6295891E8 0CC86A4D9B9C6A31 F60E0CDB7F429FE8
      6CA405593A3B5154
 4
 In   F1D28EA6295891E8 0CC86A4D9B9C6A31 F60E0CDB7F429FE8
      6CA405593A3B5154
 XorT F1D28EA6295891EC 0CC86A4D9B9C6A31 F60E0CDB7F429FE8
      6CA405593A3B5154
 Dec  9DF8F5405FBC00C2 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154

Schaad & Housley Informational [Page 29] RFC 3394 AES Key Wrap Algorithm September 2002

 3
 In   9DF8F5405FBC00C2 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154
 XorT 9DF8F5405FBC00C1 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154
 Dec  D450EA5C5BBCB563 F661BD9F31FBFA31 F60E0CDB7F429FE8
      0001020304050607
 2
 In   D450EA5C5BBCB563 F661BD9F31FBFA31 F60E0CDB7F429FE8
      0001020304050607
 XorT D450EA5C5BBCB561 F661BD9F31FBFA31 F60E0CDB7F429FE8
      0001020304050607
 Dec  794314D454E3FDE0 F661BD9F31FBFA31 8899AABBCCDDEEFF
      0001020304050607
 1
 In   794314D454E3FDE0 F661BD9F31FBFA31 8899AABBCCDDEEFF
      0001020304050607
 XorT 794314D454E3FDE1 F661BD9F31FBFA31 8899AABBCCDDEEFF
      0001020304050607
 Dec  A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
      0001020304050607
 Plaintext  A6A6A6A6A6A6A6A6 0011223344556677
            8899AABBCCDDEEFF 0001020304050607
 Output:
 Key Data:  00112233445566778899AABBCCDDEEFF0001020304050607

4.6 Wrap 256 bits of Key Data with a 256-bit KEK

 Input:
 KEK:
   000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F
 Key Data:
   00112233445566778899AABBCCDDEEFF000102030405060708090A0B0C0D0E0F

Schaad & Housley Informational [Page 30] RFC 3394 AES Key Wrap Algorithm September 2002

 Wrap:
 Step t     A/R3             R1/R4            R2
 1
 In   A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
      0001020304050607 08090A0B0C0D0E0F
 Enc  794314D454E3FDE1 F661BD9F31FBFA31 8899AABBCCDDEEFF
      0001020304050607 08090A0B0C0D0E0F
 XorT 794314D454E3FDE0 F661BD9F31FBFA31 8899AABBCCDDEEFF
      0001020304050607 08090A0B0C0D0E0F
 2
 In   794314D454E3FDE0 F661BD9F31FBFA31 8899AABBCCDDEEFF
      0001020304050607 08090A0B0C0D0E0F
 Enc  D450EA5C5BBCB561 F661BD9F31FBFA31 F60E0CDB7F429FE8
      0001020304050607 08090A0B0C0D0E0F
 XorT D450EA5C5BBCB563 F661BD9F31FBFA31 F60E0CDB7F429FE8
      0001020304050607 08090A0B0C0D0E0F
 3
 In   D450EA5C5BBCB563 F661BD9F31FBFA31 F60E0CDB7F429FE8
      0001020304050607 08090A0B0C0D0E0F
 Enc  9DF8F5405FBC00C1 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154 08090A0B0C0D0E0F
 XorT 9DF8F5405FBC00C2 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154 08090A0B0C0D0E0F
 4
 In   9DF8F5405FBC00C2 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154 08090A0B0C0D0E0F
 Enc  564408FDD0DD2EA4 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154 E5923CB9FDB56FBC
 XorT 564408FDD0DD2EA0 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154 E5923CB9FDB56FBC
 5
 In   564408FDD0DD2EA0 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154 E5923CB9FDB56FBC
 Enc  4EF02EDD3146AFBB E7D1194D853E53F8 F60E0CDB7F429FE8
      6CA405593A3B5154 E5923CB9FDB56FBC
 XorT 4EF02EDD3146AFBE E7D1194D853E53F8 F60E0CDB7F429FE8
      6CA405593A3B5154 E5923CB9FDB56FBC

Schaad & Housley Informational [Page 31] RFC 3394 AES Key Wrap Algorithm September 2002

 6
 In   4EF02EDD3146AFBE E7D1194D853E53F8 F60E0CDB7F429FE8
      6CA405593A3B5154 E5923CB9FDB56FBC
 Enc  963AAFFD96B223EC E7D1194D853E53F8 EFD48BA304945576
      6CA405593A3B5154 E5923CB9FDB56FBC
 XorT 963AAFFD96B223EA E7D1194D853E53F8 EFD48BA304945576
      6CA405593A3B5154 E5923CB9FDB56FBC
 7
 In   963AAFFD96B223EA E7D1194D853E53F8 EFD48BA304945576
      6CA405593A3B5154 E5923CB9FDB56FBC
 Enc  66D7A8ADD086B9DD E7D1194D853E53F8 EFD48BA304945576
      C365B66943E2D760 E5923CB9FDB56FBC
 XorT 66D7A8ADD086B9DA E7D1194D853E53F8 EFD48BA304945576
      C365B66943E2D760 E5923CB9FDB56FBC
 8
 In   66D7A8ADD086B9DA E7D1194D853E53F8 EFD48BA304945576
      C365B66943E2D760 E5923CB9FDB56FBC
 Enc  C58B9D3AC6D5B94E E7D1194D853E53F8 EFD48BA304945576
      C365B66943E2D760 73E3B6CBE5D05D74
 XorT C58B9D3AC6D5B946 E7D1194D853E53F8 EFD48BA304945576
      C365B66943E2D760 73E3B6CBE5D05D74
 9
 In   C58B9D3AC6D5B946 E7D1194D853E53F8 EFD48BA304945576
      C365B66943E2D760 73E3B6CBE5D05D74
 Enc  1A681354E84C41F8 D6AE29ECE7192D43 EFD48BA304945576
      C365B66943E2D760 73E3B6CBE5D05D74
 XorT 1A681354E84C41F1 D6AE29ECE7192D43 EFD48BA304945576
      C365B66943E2D760 73E3B6CBE5D05D74
 10
 In   1A681354E84C41F1 D6AE29ECE7192D43 EFD48BA304945576
      C365B66943E2D760 73E3B6CBE5D05D74
 Enc  DBA417FB51F9E3CB D6AE29ECE7192D43 FBEC169FA5C0F6BA
      C365B66943E2D760 73E3B6CBE5D05D74
 XorT DBA417FB51F9E3C1 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      C365B66943E2D760 73E3B6CBE5D05D74
 11
 In   DBA417FB51F9E3C1 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      C365B66943E2D760 73E3B6CBE5D05D74
 Enc  0629EB29A42E4FD9 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      F56701DAF0388216 73E3B6CBE5D05D74
 XorT 0629EB29A42E4FD2 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      F56701DAF0388216 73E3B6CBE5D05D74

Schaad & Housley Informational [Page 32] RFC 3394 AES Key Wrap Algorithm September 2002

 12
 In   0629EB29A42E4FD2 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      F56701DAF0388216 73E3B6CBE5D05D74
 Enc  F9ED8A1429515665 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      F56701DAF0388216 3CF149E90E8C04D9
 XorT F9ED8A1429515669 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      F56701DAF0388216 3CF149E90E8C04D9
 13
 In   F9ED8A1429515669 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      F56701DAF0388216 3CF149E90E8C04D9
 Enc  2E8E2B6BB2016696 4745856AF333F01F FBEC169FA5C0F6BA
      F56701DAF0388216 3CF149E90E8C04D9
 XorT 2E8E2B6BB201669B 4745856AF333F01F FBEC169FA5C0F6BA
      F56701DAF0388216 3CF149E90E8C04D9
 14
 In   2E8E2B6BB201669B 4745856AF333F01F FBEC169FA5C0F6BA
      F56701DAF0388216 3CF149E90E8C04D9
 Enc  15342443CB95ADB1 4745856AF333F01F BCA418BBF7DCE60B
      F56701DAF0388216 3CF149E90E8C04D9
 XorT 15342443CB95ADBF 4745856AF333F01F BCA418BBF7DCE60B
      F56701DAF0388216 3CF149E90E8C04D9
 15
 In   15342443CB95ADBF 4745856AF333F01F BCA418BBF7DCE60B
      F56701DAF0388216 3CF149E90E8C04D9
 Enc  33FE29365885C4B7 4745856AF333F01F BCA418BBF7DCE60B
      C272E9466AAE98F9 3CF149E90E8C04D9
 XorT 33FE29365885C4B8 4745856AF333F01F BCA418BBF7DCE60B
      C272E9466AAE98F9 3CF149E90E8C04D9
 16
 In   33FE29365885C4B8 4745856AF333F01F BCA418BBF7DCE60B
      C272E9466AAE98F9 3CF149E90E8C04D9
 Enc  5075496800978B4A 4745856AF333F01F BCA418BBF7DCE60B
      C272E9466AAE98F9 40F68C91DB49702C
 XorT 5075496800978B5A 4745856AF333F01F BCA418BBF7DCE60B
      C272E9466AAE98F9 40F68C91DB49702C
 17
 In   5075496800978B5A 4745856AF333F01F BCA418BBF7DCE60B
      C272E9466AAE98F9 40F68C91DB49702C
 Enc  A5382A26B47551F1 1BB8C765A84195E7 BCA418BBF7DCE60B
      C272E9466AAE98F9 40F68C91DB49702C
 XorT A5382A26B47551E0 1BB8C765A84195E7 BCA418BBF7DCE60B
      C272E9466AAE98F9 40F68C91DB49702C

Schaad & Housley Informational [Page 33] RFC 3394 AES Key Wrap Algorithm September 2002

 18
 In   A5382A26B47551E0 1BB8C765A84195E7 BCA418BBF7DCE60B
      C272E9466AAE98F9 40F68C91DB49702C
 Enc  F19D80D437EFE8F9 1BB8C765A84195E7 F7EDAD518C960D36
      C272E9466AAE98F9 40F68C91DB49702C
 XorT F19D80D437EFE8EB 1BB8C765A84195E7 F7EDAD518C960D36
      C272E9466AAE98F9 40F68C91DB49702C
 19
 In   F19D80D437EFE8EB 1BB8C765A84195E7 F7EDAD518C960D36
      C272E9466AAE98F9 40F68C91DB49702C
 Enc  B422B444B87A190B 1BB8C765A84195E7 F7EDAD518C960D36
      1CFBF6B4C24CB982 40F68C91DB49702C
 XorT B422B444B87A1918 1BB8C765A84195E7 F7EDAD518C960D36
      1CFBF6B4C24CB982 40F68C91DB49702C
 20
 In   B422B444B87A1918 1BB8C765A84195E7 F7EDAD518C960D36
      1CFBF6B4C24CB982 40F68C91DB49702C
 Enc  D058823360F88A37 1BB8C765A84195E7 F7EDAD518C960D36
      1CFBF6B4C24CB982 07DFE775B9687E73
 XorT D058823360F88A23 1BB8C765A84195E7 F7EDAD518C960D36
      1CFBF6B4C24CB982 07DFE775B9687E73
 21
 In   D058823360F88A23 1BB8C765A84195E7 F7EDAD518C960D36
      1CFBF6B4C24CB982 07DFE775B9687E73
 Enc  C89A96CA7B163ECC CBCCB35CFB87F826 F7EDAD518C960D36
      1CFBF6B4C24CB982 07DFE775B9687E73
 XorT C89A96CA7B163ED9 CBCCB35CFB87F826 F7EDAD518C960D36
      1CFBF6B4C24CB982 07DFE775B9687E73
 22
 In   C89A96CA7B163ED9 CBCCB35CFB87F826 F7EDAD518C960D36
      1CFBF6B4C24CB982 07DFE775B9687E73
 Enc  39D02FE7435870ED CBCCB35CFB87F826 3F5786E2D80ED326
      1CFBF6B4C24CB982 07DFE775B9687E73
 XorT 39D02FE7435870FB CBCCB35CFB87F826 3F5786E2D80ED326
      1CFBF6B4C24CB982 07DFE775B9687E73
 23
 In   39D02FE7435870FB CBCCB35CFB87F826 3F5786E2D80ED326
      1CFBF6B4C24CB982 07DFE775B9687E73
 Enc  0AEB82AE3146A91B CBCCB35CFB87F826 3F5786E2D80ED326
      CBC7F0E71A99F43B 07DFE775B9687E73
 XorT 0AEB82AE3146A90C CBCCB35CFB87F826 3F5786E2D80ED326
      CBC7F0E71A99F43B 07DFE775B9687E73

Schaad & Housley Informational [Page 34] RFC 3394 AES Key Wrap Algorithm September 2002

 24
 In   0AEB82AE3146A90C CBCCB35CFB87F826 3F5786E2D80ED326
      CBC7F0E71A99F43B 07DFE775B9687E73
 Enc  28C9F404C4B810EC CBCCB35CFB87F826 3F5786E2D80ED326
      CBC7F0E71A99F43B FB988B9B7A02DD21
 XorT 28C9F404C4B810F4 CBCCB35CFB87F826 3F5786E2D80ED326
      CBC7F0E71A99F43B FB988B9B7A02DD21
 Output:
 Ciphertext  28C9F404C4B810F4 CBCCB35CFB87F826 3F5786E2D80ED326
             CBC7F0E71A99F43B FB988B9B7A02DD21
 Unwrap:
 Step t     A/R3             R1/R4            R2
 24
 In   28C9F404C4B810F4 CBCCB35CFB87F826 3F5786E2D80ED326
      CBC7F0E71A99F43B FB988B9B7A02DD21
 XorT 28C9F404C4B810EC CBCCB35CFB87F826 3F5786E2D80ED326
      CBC7F0E71A99F43B FB988B9B7A02DD21
 Dec  0AEB82AE3146A90C CBCCB35CFB87F826 3F5786E2D80ED326
      CBC7F0E71A99F43B 07DFE775B9687E73
 23
 In   0AEB82AE3146A90C CBCCB35CFB87F826 3F5786E2D80ED326
      CBC7F0E71A99F43B 07DFE775B9687E73
 XorT 0AEB82AE3146A91B CBCCB35CFB87F826 3F5786E2D80ED326
      CBC7F0E71A99F43B 07DFE775B9687E73
 Dec  39D02FE7435870FB CBCCB35CFB87F826 3F5786E2D80ED326
      1CFBF6B4C24CB982 07DFE775B9687E73
 22
 In   39D02FE7435870FB CBCCB35CFB87F826 3F5786E2D80ED326
      1CFBF6B4C24CB982 07DFE775B9687E73
 XorT 39D02FE7435870ED CBCCB35CFB87F826 3F5786E2D80ED326
      1CFBF6B4C24CB982 07DFE775B9687E73
 Dec  C89A96CA7B163ED9 CBCCB35CFB87F826 F7EDAD518C960D36
      1CFBF6B4C24CB982 07DFE775B9687E73
 21
 In   C89A96CA7B163ED9 CBCCB35CFB87F826 F7EDAD518C960D36
      1CFBF6B4C24CB982 07DFE775B9687E73
 XorT C89A96CA7B163ECC CBCCB35CFB87F826 F7EDAD518C960D36
      1CFBF6B4C24CB982 07DFE775B9687E73
 Dec  D058823360F88A23 1BB8C765A84195E7 F7EDAD518C960D36
      1CFBF6B4C24CB982 07DFE775B9687E73

Schaad & Housley Informational [Page 35] RFC 3394 AES Key Wrap Algorithm September 2002

 20
 In   D058823360F88A23 1BB8C765A84195E7 F7EDAD518C960D36
      1CFBF6B4C24CB982 07DFE775B9687E73
 XorT D058823360F88A37 1BB8C765A84195E7 F7EDAD518C960D36
      1CFBF6B4C24CB982 07DFE775B9687E73
 Dec  B422B444B87A1918 1BB8C765A84195E7 F7EDAD518C960D36
      1CFBF6B4C24CB982 40F68C91DB49702C
 19
 In   B422B444B87A1918 1BB8C765A84195E7 F7EDAD518C960D36
      1CFBF6B4C24CB982 40F68C91DB49702C
 XorT B422B444B87A190B 1BB8C765A84195E7 F7EDAD518C960D36
      1CFBF6B4C24CB982 40F68C91DB49702C
 Dec  F19D80D437EFE8EB 1BB8C765A84195E7 F7EDAD518C960D36
      C272E9466AAE98F9 40F68C91DB49702C
 18
 In   F19D80D437EFE8EB 1BB8C765A84195E7 F7EDAD518C960D36
      C272E9466AAE98F9 40F68C91DB49702C
 XorT F19D80D437EFE8F9 1BB8C765A84195E7 F7EDAD518C960D36
      C272E9466AAE98F9 40F68C91DB49702C
 Dec  A5382A26B47551E0 1BB8C765A84195E7 BCA418BBF7DCE60B
      C272E9466AAE98F9 40F68C91DB49702C
 17
 In   A5382A26B47551E0 1BB8C765A84195E7 BCA418BBF7DCE60B
      C272E9466AAE98F9 40F68C91DB49702C
 XorT A5382A26B47551F1 1BB8C765A84195E7 BCA418BBF7DCE60B
      C272E9466AAE98F9 40F68C91DB49702C
 Dec  5075496800978B5A 4745856AF333F01F BCA418BBF7DCE60B
      C272E9466AAE98F9 40F68C91DB49702C
 16
 In   5075496800978B5A 4745856AF333F01F BCA418BBF7DCE60B
      C272E9466AAE98F9 40F68C91DB49702C
 XorT 5075496800978B4A 4745856AF333F01F BCA418BBF7DCE60B
      C272E9466AAE98F9 40F68C91DB49702C
 Dec  33FE29365885C4B8 4745856AF333F01F BCA418BBF7DCE60B
      C272E9466AAE98F9 3CF149E90E8C04D9
 15
 In   33FE29365885C4B8 4745856AF333F01F BCA418BBF7DCE60B
      C272E9466AAE98F9 3CF149E90E8C04D9
 XorT 33FE29365885C4B7 4745856AF333F01F BCA418BBF7DCE60B
      C272E9466AAE98F9 3CF149E90E8C04D9
 Dec  15342443CB95ADBF 4745856AF333F01F BCA418BBF7DCE60B
      F56701DAF0388216 3CF149E90E8C04D9

Schaad & Housley Informational [Page 36] RFC 3394 AES Key Wrap Algorithm September 2002

 14
 In   15342443CB95ADBF 4745856AF333F01F BCA418BBF7DCE60B
      F56701DAF0388216 3CF149E90E8C04D9
 XorT 15342443CB95ADB1 4745856AF333F01F BCA418BBF7DCE60B
      F56701DAF0388216 3CF149E90E8C04D9
 Dec  2E8E2B6BB201669B 4745856AF333F01F FBEC169FA5C0F6BA
      F56701DAF0388216 3CF149E90E8C04D9
 13
 In   2E8E2B6BB201669B 4745856AF333F01F FBEC169FA5C0F6BA
      F56701DAF0388216 3CF149E90E8C04D9
 XorT 2E8E2B6BB2016696 4745856AF333F01F FBEC169FA5C0F6BA
      F56701DAF0388216 3CF149E90E8C04D9
 Dec  F9ED8A1429515669 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      F56701DAF0388216 3CF149E90E8C04D9
 12
 In   F9ED8A1429515669 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      F56701DAF0388216 3CF149E90E8C04D9
 XorT F9ED8A1429515665 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      F56701DAF0388216 3CF149E90E8C04D9
 Dec  0629EB29A42E4FD2 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      F56701DAF0388216 73E3B6CBE5D05D74
 11
 In   0629EB29A42E4FD2 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      F56701DAF0388216 73E3B6CBE5D05D74
 XorT 0629EB29A42E4FD9 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      F56701DAF0388216 73E3B6CBE5D05D74
 Dec  DBA417FB51F9E3C1 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      C365B66943E2D760 73E3B6CBE5D05D74
 10
 In   DBA417FB51F9E3C1 D6AE29ECE7192D43 FBEC169FA5C0F6BA
      C365B66943E2D760 73E3B6CBE5D05D74
 XorT DBA417FB51F9E3CB D6AE29ECE7192D43 FBEC169FA5C0F6BA
      C365B66943E2D760 73E3B6CBE5D05D74
 Dec  1A681354E84C41F1 D6AE29ECE7192D43 EFD48BA304945576
      C365B66943E2D760 73E3B6CBE5D05D74
 9
 In   1A681354E84C41F1 D6AE29ECE7192D43 EFD48BA304945576
      C365B66943E2D760 73E3B6CBE5D05D74
 XorT 1A681354E84C41F8 D6AE29ECE7192D43 EFD48BA304945576
      C365B66943E2D760 73E3B6CBE5D05D74
 Dec  C58B9D3AC6D5B946 E7D1194D853E53F8 EFD48BA304945576
      C365B66943E2D760 73E3B6CBE5D05D74

Schaad & Housley Informational [Page 37] RFC 3394 AES Key Wrap Algorithm September 2002

 8
 In   C58B9D3AC6D5B946 E7D1194D853E53F8 EFD48BA304945576
      C365B66943E2D760 73E3B6CBE5D05D74
 XorT C58B9D3AC6D5B94E E7D1194D853E53F8 EFD48BA304945576
      C365B66943E2D760 73E3B6CBE5D05D74
 Dec  66D7A8ADD086B9DA E7D1194D853E53F8 EFD48BA304945576
      C365B66943E2D760 E5923CB9FDB56FBC
 7
 In   66D7A8ADD086B9DA E7D1194D853E53F8 EFD48BA304945576
      C365B66943E2D760 E5923CB9FDB56FBC
 XorT 66D7A8ADD086B9DD E7D1194D853E53F8 EFD48BA304945576
      C365B66943E2D760 E5923CB9FDB56FBC
 Dec  963AAFFD96B223EA E7D1194D853E53F8 EFD48BA304945576
      6CA405593A3B5154 E5923CB9FDB56FBC
 6
 In   963AAFFD96B223EA E7D1194D853E53F8 EFD48BA304945576
      6CA405593A3B5154 E5923CB9FDB56FBC
 XorT 963AAFFD96B223EC E7D1194D853E53F8 EFD48BA304945576
      6CA405593A3B5154 E5923CB9FDB56FBC
 Dec  4EF02EDD3146AFBE E7D1194D853E53F8 F60E0CDB7F429FE8
      6CA405593A3B5154 E5923CB9FDB56FBC
 5
 In   4EF02EDD3146AFBE E7D1194D853E53F8 F60E0CDB7F429FE8
      6CA405593A3B5154 E5923CB9FDB56FBC
 XorT 4EF02EDD3146AFBB E7D1194D853E53F8 F60E0CDB7F429FE8
      6CA405593A3B5154 E5923CB9FDB56FBC
 Dec  564408FDD0DD2EA0 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154 E5923CB9FDB56FBC
 4
 In   564408FDD0DD2EA0 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154 E5923CB9FDB56FBC
 XorT 564408FDD0DD2EA4 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154 E5923CB9FDB56FBC
 Dec  9DF8F5405FBC00C2 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154 08090A0B0C0D0E0F
 3
 In   9DF8F5405FBC00C2 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154 08090A0B0C0D0E0F
 XorT 9DF8F5405FBC00C1 F661BD9F31FBFA31 F60E0CDB7F429FE8
      6CA405593A3B5154 08090A0B0C0D0E0F
 Dec  D450EA5C5BBCB563 F661BD9F31FBFA31 F60E0CDB7F429FE8
      0001020304050607 08090A0B0C0D0E0F

Schaad & Housley Informational [Page 38] RFC 3394 AES Key Wrap Algorithm September 2002

 2
 In   D450EA5C5BBCB563 F661BD9F31FBFA31 F60E0CDB7F429FE8
      0001020304050607 08090A0B0C0D0E0F
 XorT D450EA5C5BBCB561 F661BD9F31FBFA31 F60E0CDB7F429FE8
      0001020304050607 08090A0B0C0D0E0F
 Dec  794314D454E3FDE0 F661BD9F31FBFA31 8899AABBCCDDEEFF
      0001020304050607 08090A0B0C0D0E0F
 1
 In   794314D454E3FDE0 F661BD9F31FBFA31 8899AABBCCDDEEFF
      0001020304050607 08090A0B0C0D0E0F
 XorT 794314D454E3FDE1 F661BD9F31FBFA31 8899AABBCCDDEEFF
      0001020304050607 08090A0B0C0D0E0F
 Dec  A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
      0001020304050607 08090A0B0C0D0E0F
 Plaintext  A6A6A6A6A6A6A6A6 0011223344556677 8899AABBCCDDEEFF
            0001020304050607 08090A0B0C0D0E0F
 Output:
 Key Data:
      00112233445566778899AABBCCDDEEFF000102030405060708090A0B0C0D0E0F

5. Security Considerations

 The key wrap algorithm includes a strong integrity check on the key
 data.  If unwrapping produces the expected check value in A[0], then
 the chance that the key data is corrupt is 2^-64.  If unwrapping
 produces an unexpected value, then the algorithm implementation MUST
 return an error, and it MUST NOT return any key data.
 Implementations must protect the KEK from disclosure.  Compromise of
 the KEK may result in the disclosure of all key data protected with
 that KEK.

6. References

 AES       National Institute of Standards and Technology. FIPS Pub
           197: Advanced Encryption Standard (AES). 26 November 2001.
 AES-WRAP  National Institute of Standards and Technology. AES Key
           Wrap Specification. 17 November 2001.
           [http://csrc.nist.gov/encryption/kms/key-wrap.pdf]

Schaad & Housley Informational [Page 39] RFC 3394 AES Key Wrap Algorithm September 2002

7. Acknowledgments

 Most of the text in this document is taken from [AES-WRAP].  The
 authors of that document are responsible for the development of the
 AES key wrap algorithm.

8. Authors' Addresses

 Jim Schaad
 Soaring Hawk Consulting
 EMail: jimsch@exmsft.com
 Russell Housley
 RSA Laboratories
 918 Spring Knoll Drive
 Herndon, VA 20170
 USA
 EMail: rhousley@rsasecurity.com

Schaad & Housley Informational [Page 40] RFC 3394 AES Key Wrap Algorithm September 2002

9. 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 provided that the above copyright notice and this paragraph
 are included on all such copies.  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 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.

Schaad & Housley Informational [Page 41]

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