One document matched: draft-ietf-smime-aes-keywrap-00.txt-74123.txt
S/MIME Working Group J. Schaad
Internet Draft Soaring Hawk Consulting
Document: draft-ietf-smime-aes-keywrap-00.txt R. Housley
Category: Informational RSA Laboratories
February 2002
AES Key Wrap Algorithm
Status of this Memo
This document is an Internet-Draft and is in full conformance with
all provisions of Section 10 of RFC2026.
Internet-Drafts are working documents of the Internet Engineering
Task Force (IETF), its areas, and its working groups. Note that
other groups may also distribute working documents as Internet-
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six months and may be updated, replaced, or obsoleted by other
documents at any time. It is inappropriate to use Internet- Drafts
as reference material or to cite them other than as "work in
progress."
The list of current Internet-Drafts can be accessed at
http://www.ietf.org/ietf/1id-abstracts.txt
The list of Internet-Draft Shadow Directories can be accessed at
http://www.ietf.org/shadow.html.
Comments on this draft should be sent to ietf-smime@imc.org.
Abstract
The purpose of this document is to make the 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.
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
Schaad & Housley Informational- July 2002 1
AES Key Wrap Algorithm February 2002
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.
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
Schaad & Housley Informational - July 2002 2
AES Key Wrap Algorithm February 2002
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 Ri 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.
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.
Schaad & Housley Informational - July 2002 3
AES Key Wrap Algorithm February 2002
Set C[0] = A[t]
For i = 1 to n
C[i] = R[t][i]
The motion of the key wrap is shown below.
An alternative description of the key wrap algorithm involves
indexing rather than shifting. This approach allows you 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.
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]
Schaad & Housley Informational - July 2002 4
AES Key Wrap Algorithm February 2002
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]
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
Schaad & Housley Informational - July 2002 5
AES Key Wrap Algorithm February 2002
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 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.
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)
Schaad & Housley Informational - July 2002 6
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 7
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 8
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 9
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 10
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 11
AES Key Wrap Algorithm February 2002
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
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 - July 2002 12
AES Key Wrap Algorithm February 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
Unwrap:
Step t A R1 R2
12
In 64E8C3F9CE0F5BA2 63E9777905818A2A 93C8191E7D6E8AE7
Schaad & Housley Informational - July 2002 13
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 14
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 15
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 16
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 17
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 18
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 19
AES Key Wrap Algorithm February 2002
Dec A187755AEA64719A A08DAA041D17BBBA AE82BC1118A5DEA4
D1E708FD13778787
6
In A187755AEA64719A A08DAA041D17BBBA AE82BC1118A5DEA4
D1E708FD13778787
XorT A187755AEA64719C A08DAA041D17BBBA AE82BC1118A5DEA4
D1E708FD13778787
Dec 15B61F7B25D51705 A08DAA041D17BBBA AE82BC1118A5DEA4
FF540E514DE120A3
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
Schaad & Housley Informational - July 2002 20
AES Key Wrap Algorithm February 2002
Output:
Key Data: 00112233445566778899AABBCCDDEEFF0001020304050607
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
5
In F1D28EA6295891E8 0CC86A4D9B9C6A31 F60E0CDB7F429FE8
6CA405593A3B5154
Enc BF213BFD04E8A24F 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
6CA405593A3B5154
XorT BF213BFD04E8A24A 0CC86A4D9B9C6A31 AEBE2D5C8BF747A9
Schaad & Housley Informational - July 2002 21
AES Key Wrap Algorithm February 2002
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
11
In A3223BD7237F7039 FB1611A83BEB567F C6874607903270CD
740A273461ED82C6
Enc B50C330616E7B1C7 FB1611A83BEB567F 73EDC8CB9322C34E
740A273461ED82C6
XorT B50C330616E7B1CC FB1611A83BEB567F 73EDC8CB9322C34E
740A273461ED82C6
12
In B50C330616E7B1CC FB1611A83BEB567F 73EDC8CB9322C34E
740A273461ED82C6
Schaad & Housley Informational - July 2002 22
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 23
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 24
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 25
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 26
AES Key Wrap Algorithm February 2002
Input:
KEK:
000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F
Key Data:
00112233445566778899AABBCCDDEEFF000102030405060708090A0B0C0D0E0F
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
6
In 4EF02EDD3146AFBE E7D1194D853E53F8 F60E0CDB7F429FE8
6CA405593A3B5154 E5923CB9FDB56FBC
Schaad & Housley Informational - July 2002 27
AES Key Wrap Algorithm February 2002
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
12
In 0629EB29A42E4FD2 D6AE29ECE7192D43 FBEC169FA5C0F6BA
F56701DAF0388216 73E3B6CBE5D05D74
Enc F9ED8A1429515665 D6AE29ECE7192D43 FBEC169FA5C0F6BA
F56701DAF0388216 3CF149E90E8C04D9
XorT F9ED8A1429515669 D6AE29ECE7192D43 FBEC169FA5C0F6BA
F56701DAF0388216 3CF149E90E8C04D9
Schaad & Housley Informational - July 2002 28
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 29
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 30
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 31
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 32
AES Key Wrap Algorithm February 2002
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
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
Schaad & Housley Informational - July 2002 33
AES Key Wrap Algorithm February 2002
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
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.
Schaad & Housley Informational - July 2002 34
AES Key Wrap Algorithm February 2002
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]
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 Author's 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 - July 2002 35
AES Key Wrap Algorithm February 2002
Full Copyright Statement
"Copyright (C) The Internet Society 2002. All Rights Reserved.
This document and translations of it may be copied and
furnished to others, and derivative works that comment on or
otherwise explain it or assist in its implementation may be
prepared, copied, published and distributed, in whole or in
part, without restriction of any kind, provided that the above
copyright notice and this paragraph are included on all such
copies and derivative works. However, this document itself may
not be modified in any way, such as by removing the copyright
notice or references to the Internet Society or other Internet
organizations, except as needed for the purpose of developing
Internet standards in which case the procedures for copyrights
defined in the Internet Standards process must be followed, or
as required to translate it into languages other than English.
The limited permissions granted above are perpetual and will
not be revoked by the Internet Society or its successors or assigns.
Schaad & Housley Informational - July 2002 36
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