Internet DRAFT - draft-gueron-gcmsiv
draft-gueron-gcmsiv
CFRG S. Gueron
Internet-Draft University of Haifa and Intel Corporation
Intended status: Informational A. Langley
Expires: October 16, 2016 Google
Y. Lindell
Bar Ilan University
April 14, 2016
AES-GCM-SIV: Nonce Misuse-Resistant Authenticated Encryption
draft-gueron-gcmsiv-03
Abstract
This memo specifies two authenticated encryption algorithms that are
nonce misuse-resistant - that is that they do not fail
catastrophically if a nonce is repeated.
Status of This Memo
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provisions of BCP 78 and BCP 79.
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This Internet-Draft will expire on October 16, 2016.
Copyright Notice
Copyright (c) 2016 IETF Trust and the persons identified as the
document authors. All rights reserved.
This document is subject to BCP 78 and the IETF Trust's Legal
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include Simplified BSD License text as described in Section 4.e of
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the Trust Legal Provisions and are provided without warranty as
described in the Simplified BSD License.
Table of Contents
1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 2
2. Requirements Language . . . . . . . . . . . . . . . . . . . . 3
3. POLYVAL . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
4. Encryption . . . . . . . . . . . . . . . . . . . . . . . . . 4
5. Decryption . . . . . . . . . . . . . . . . . . . . . . . . . 4
6. AEADs . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
7. Field operation examples . . . . . . . . . . . . . . . . . . 5
8. Worked example . . . . . . . . . . . . . . . . . . . . . . . 6
9. Security Considerations . . . . . . . . . . . . . . . . . . . 7
10. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 7
11. Acknowledgements . . . . . . . . . . . . . . . . . . . . . . 7
12. References . . . . . . . . . . . . . . . . . . . . . . . . . 7
12.1. Normative References . . . . . . . . . . . . . . . . . . 7
12.2. Informative References . . . . . . . . . . . . . . . . . 8
Appendix A. Test vectors . . . . . . . . . . . . . . . . . . . . 8
A.1. AEAD_AES_128_GCM_SIV . . . . . . . . . . . . . . . . . . 8
A.2. AEAD_AES_256_GCM_SIV . . . . . . . . . . . . . . . . . . 46
Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . 88
1. Introduction
The concept of "Authenticated encryption with additional data" (AEAD
[RFC5116]) couples confidentiality and integrity in a single
operation that is easier for practitioners to use correctly. The
most popular AEAD, AES-GCM [GCM], is seeing widespread use due to its
attractive performance.
However, most AEADs suffer catastrophic failures of confidentiality
and/or integrity when two distinct messages are encrypted with the
same nonce. While the requirements for AEADs specify that the pair
of (key, nonce) shall only ever be used once, and thus prohibit this,
in practice this is a worry.
Nonce misuse-resistant AEADs do not suffer from this problem. For
this class of AEADs, encrypting two messages with the same nonce only
discloses whether the messages were equal or not. This is the
minimum amount of information that a deterministic algorithm can leak
in this situation.
This memo specifies two nonce misuse-resistant AEADs:
"AEAD_AES_128_GCM_SIV" and "AEAD_AES_256_GCM_SIV". These AEADs are
designed to be able to take advantage of existing hardware support
for AES-GCM and can run within 5% of the speed of AES-GCM.
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We suggest that these AEADs be considered in any situation where
there is the slightest doubt about nonce uniqueness.
2. Requirements Language
The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
"SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this
document are to be interpreted as described in RFC 2119 [RFC2119].
3. POLYVAL
The GCM-SIV construction is similar to GCM: the block cipher is used
in counter mode to encrypt the plaintext and a polynomial
authenticator is used to provide integrity. The authenticator in
GCM-SIV is called POLYVAL.
POLYVAL, like GHASH, operates in a binary field of size 2^128. The
field is defined by the irreducible polynomial x^128 + x^127 + x^126
+ x^121 + 1. The sum of any two elements in the field is the result
of XORing them. The product of any two elements is calculated using
standard polynomial multiplication followed by reduction by the
irreducible polynomial.
We define another binary operation on elements of the field: dot(a,
b), where dot(a, b) = a * b * x^-128. The value x^-128 is equal to
x^127 + x^124 + x^121 + x^114 + 1. Since the result of
multiplications in the field is defined to be reduced, the result of
dot(a, b) is another field element.
Polynomials in this field are converted to and from 128-bit strings
by taking the least-significant bit of the first byte to be the
coefficient of x^0, the most-significant bit of the first byte to the
the coefficient of x^7 and so on, until the most-significant bit of
the last byte is the coefficient of x^127.
POLYVAL takes a field element, H, and a series of field elements X_1,
..., X_s. Its result is S_s, where S is defined by the iteration S_0
= 0; S_j = dot(S_{j-1} + X_j, H).
We note that POLYVAL(H, X_1, X_2, ...) is equal to
ByteSwap(GHASH(x*H, ByteSwap(X_1), ByteSwap(X_2), ...)), where
ByteSwap is a function that converts a field element to a 128-bit
string, reverses the order of the bytes, and interprets the result as
a field element again.
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4. Encryption
AES-GCM-SIV encryption takes a 16-byte authentication key, a 16- or
32-byte AES key, a 128-bit nonce, and arbitrary-length plaintext and
additional data inputs. It outputs an authenticated ciphertext that
will be 16 bytes longer than the plaintext.
If the AES key is 16 bytes long then AES-128 is used throughout and
the _record-encryption key_ is defined as the encryption of the nonce
using the AES key.
Alternatively, if the AES key is 32 bytes long then AES-256 is used
throughout. Simply encrypting the nonce (as done in the case of a 16
bytes key) is now insufficient, because 256 bits of key material are
needed. Therefore, AES-256 is used as a Pseudo Random Function to
produce the 256 bits record-encryption key. This record-encryption
key is defined as the concatenation of the result of encrypting,
using the AES key, the nonce with the least-significant bit of the
first byte set to zero and then to one.
Define the _length block_ as a 16-byte value that is the
concatenation of the 64-bit, little-endian encodings of
len(additional_length)*8 and len(plaintext)*8. Pad the plaintext and
additional data with zeros until they are each a multiple of 16
bytes, the AES block size. Then X_1, X_2, etc (the series of field
elements that are inputs to POLYVAL) are the concatenation of the
padded additional data, the padded plaintext and the length block.
Calculate S_s = POLYVAL(authentication_key, X_1, X_2, ...), XOR it
with the nonce and then set the most-significant bit of the last byte
to zero. Encrypt the result with AES using the record-encryption key
to produce the tag.
The ciphertext is produced by using AES in counter mode on the
unpadded plaintext. The initial counter is the tag with the most-
significant bit of the last byte set to one and the first 32 bits set
to zero. The counter advances by incrementing the first 32 bits
interpreted as an unsigned, little-endian integer. The result of the
encryption is the resulting ciphertext followed by the tag.
5. Decryption
Decryption takes a 16-byte authentication key, a 16- or 32-byte AES
key, a 128-bit nonce, and arbitrary-length ciphertext and additional
data inputs. It either fails, or outputs a plaintext that is 16
bytes shorter than the ciphertext.
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Firstly, the record-encryption key is derived in the same manner as
when encrypting.
If the ciphertext is less than 16 bytes or more than 2^36 + 16 bytes,
then fail. Otherwise split the input into the encrypted plaintext
and a 16-byte tag. Decrypt the encrypted plaintext with the record-
encryption key in counter mode, where the initial counter is the tag
with the most-significant bit of the last byte set to one and the
first 32 bits set to zero. The counter advances in the same way as
for encryption.
Pad the additional data and plaintext with zeros until they are each
a multiple of 16 bytes, the AES block size. Calculate length_block
and X_1, X_2, etc as above and compute S_s =
POLYVAL(authentication_key, X_1, X_2, ...). Compute the expected tag
by XORing S_s and the nonce, setting the most-significant byte of the
last byte to zero and encrypting with the record-encryption key.
Compare the provided and expected tag values in constant time. If
they do not match, fail. Otherwise return the plaintext.
6. AEADs
We define two AEADs, in the format of RFC 5116, that use AES-GCM-SIV:
AEAD_AES_128_GCM_SIV and AEAD_AES_256_GCM_SIV. They differ only in
the size of the AES key used.
Since the definition of an AEAD requires that the key be a single
value we define AEAD_AES_128_GCM_SIV to take a 32-byte key: the first
16 bytes of which are used as the authentication key and the
remaining 16 bytes are used as the AES key. Likewise
AEAD_AES_256_GCM_SIV takes an 48-byte key: the first 16 bytes are
again the authentication key and the remaining 32 bytes is the AES
key.
The parameters for AEAD_AES_128_GCM_SIV are then: K_LEN is 32, P_MAX
is 2^36, A_MAX is 2^61 - 1, N_MIN and N_MAX are 16 and C_MAX is 2^36
+ 16.
The parameters for AEAD_AES_256_GCM_SIV differ only in the key size:
K_LEN is 48, P_MAX is 2^36, A_MAX is 2^61 - 1, N_MIN and N_MAX are 16
and C_MAX is 2^36 + 16.
7. Field operation examples
Polynomials in this document will be written as 16-byte values. For
example, the sixteen bytes 01000000000000000000000000000492 would
represent the polynomial x^127 + x^124 + x^121 + x^114 + 1, which is
also the value of x^-128 in this field.
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If a = 66e94bd4ef8a2c3b884cfa59ca342b2e and b =
ff000000000000000000000000000000 then a+b =
99e94bd4ef8a2c3b884cfa59ca342b2e, a*b =
37856175e9dc9df26ebc6d6171aa0ae9 and dot(a, b) =
ebe563401e7e91ea3ad6426b8140c394.
8. Worked example
Consider the encryption of the plaintext "Hello world" with the
additional data "example" under key
4f2229294acbdf99c4584ec0e6e23638fab3a110b8ae672eba07d91ba52d6cea
using AEAD_AES_128_GCM_SIV. The random nonce that we'll use for this
example is 752abad3e0afb5f434dc4310f71f3d21.
The record encryption key will be AES(key =
fab3a110b8ae672eba07d91ba52d6cea, data =
752abad3e0afb5f434dc4310f71f3d21) = b55e60e9e8886006db16db23e1e0e103.
The length block contains the encoding of the bit-lengths of the
additional data and plaintext, respectively, which are and 56 and 88.
Thus length_block is 38000000000000005800000000000000.
The input to POLYVAL is the padded additional data, padded plaintext
and then the length block. This is 6578616d706c650000000000000000004
8656c6c6f20776f726c64000000000058000000000000003800000000000000.
The POLYVAL key will be the first 16 bytes of the AEAD key, namely
4f2229294acbdf99c4584ec0e6e23638. Calling POLYVAL with that key and
the input above results in S_s = 0b9ae2c5bd7fe4dcd17a007d11ac280e.
XORing this with the nonce gives 7eb058165dd05128e5a6436de6b3152f.
Before encrypting the most-significant bit of the last byte is
cleared. This again gives 7eb058165dd05128e5a6436de6b3152f because
that bit happened to be zero already. Encrypting with the record key
gives the tag, which is 8e2d69ed54c0997cae05d8b2be1d963e.
In order to form the initial counter block, the most-significant bit
of the last byte of the tag is set to one and a 32-bit, little-endian
counter is written to the first four bytes. This gives
0000000054c0997cae05d8b2be1d96be. Encrypting this with the record
key gives the first block of the keystream:
b30b19ed9ba05d29b6aecc0146b7fb19.
The final ciphertext is the result of XORing the plaintext with the
keystream and appending the tag. That gives
fb6e7581f4802a46c4c2a88e2d69ed54c0997cae05d8b2be1d963e.
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9. Security Considerations
The AEADs defined in this document calculate fresh AES keys for each
nonce. This allows a larger number of plaintexts to be encrypted
under a given key. Without this step, each SIV encryption would be
like a standard GCM encryption with a random nonce. Since the nonce
size for GCM is only 12 bytes, NIST set a limit [GCM] of 2^32
encryptions before the probability of duplicate nonces becomes too
high.
The authors felt that, while large, 2^32 wasn't so large that this
limit could be safely ignored. For example, consider encrypting the
contents of a hard disk where the AEAD record size is 512 bytes, to
match the traditional size of a disk sector. This process would have
encrypted 2^32 records after processing 2TB, yet hard drives of
multiple terabytes are now common.
Deriving fresh AES keys for each nonce eliminates this problem.
It's worth noting that the 2^32 limit still applies as the number of
distinct messages that can be encrypted under a fixed nonce. Nonces
should be unique and the misuse-resistance of these AEADs should not
be depended on to the extent that 2^32 duplicates may occur. (Or
2^31 duplicates in the case of AEAD_AES_256_GCM_SIV.)
The construction of the record-encryption key in AEAD_AES_256_GCM_SIV
cannot result in the first and second halves of the key having the
same value. Thus 2^128 of the 2^256 keys cannot occur. We consider
this to be insignificant.
A security analysis of a similar scheme appears in [GCM-SIV].
10. IANA Considerations
This document has no actions for IANA.
11. Acknowledgements
12. References
12.1. Normative References
[RFC2119] Bradner, S., "Key words for use in RFCs to Indicate
Requirement Levels", BCP 14, RFC 2119,
DOI 10.17487/RFC2119, March 1997,
<http://www.rfc-editor.org/info/rfc2119>.
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12.2. Informative References
[GCM] Dworkin, M., "Recommendation for Block Cipher Modes of
Operation: Galois/Counter Mode (GCM) and GMAC", NIST SP-
800-38D, November 2007,
<http://csrc.nist.gov/publications/nistpubs/800-38D/
SP-800-38D.pdf>.
[GCM-SIV] Gueron, S. and Y. Lindell, "GCM-SIV: Full Nonce Misuse-
Resistant Authenticated Encryption at Under One Cycle Per
Byte", Proceedings of the 22nd ACM SIGSAC Conference on
Computer and Communications Security , 2015,
<http://doi.acm.org/10.1145/2810103.2813613>.
[RFC5116] McGrew, D., "An Interface and Algorithms for Authenticated
Encryption", RFC 5116, DOI 10.17487/RFC5116, January 2008,
<http://www.rfc-editor.org/info/rfc5116>.
Appendix A. Test vectors
A.1. AEAD_AES_128_GCM_SIV
--------------------- TWO_KEYS (AAD = 0, MSG = 0)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 0
MSG_bit_len = 0
padded_AAD_byte_len = 0
padded_MSG_byte_len = 0
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 0
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG =
PADDED_AAD_and_MSG =
LENBLK = 00000000000000000000000000000000
Computing POLYVAL on a
buffer of 0 blocks + LENBLK.
POLYVAL = 00000000000000000000000000000000
POLYVAL_xor_NONCE = 03000000000000000000000000000000
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with MSBit cleared = 03000000000000000000000000000000
TAG = fabfd7964630aa6128ee6269f061f08b
AAD =
CT =
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
--------------------- TWO_KEYS (AAD = 0, MSG = 8)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 8
MSG_bit_len = 64
padded_AAD_byte_len = 0
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 0100000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
LENBLK = 00000000000000004000000000000000
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Computing POLYVAL on a
buffer of 1 blocks + LENBLK.
POLYVAL = 04000000000000809100000000283b1c
POLYVAL_xor_NONCE = 07000000000000809100000000283b1c
with MSBit cleared = 07000000000000809100000000283b1c
TAG = 5537355b0a4f4cb05ce77d1b815d7299
AAD =
CT = 3b0f5baabe526e9f
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
000000000a4f4cb05ce77d1b815d7299
--------------------- TWO_KEYS (AAD = 0, MSG = 12)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 12
MSG_bit_len = 96
padded_AAD_byte_len = 0
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
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AAD =
MSG = 010000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
LENBLK = 00000000000000006000000000000000
Computing POLYVAL on a
buffer of 1 blocks + LENBLK.
POLYVAL = 0400000000000040d900000000283b1c
POLYVAL_xor_NONCE = 0700000000000040d900000000283b1c
with MSBit cleared = 0700000000000040d900000000283b1c
TAG = dd55830c690eadd7fd2155b3615470bd
AAD =
CT = 9391b4122fccfecb60ec40ab
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000690eadd7fd2155b3615470bd
--------------------- TWO_KEYS (AAD = 0, MSG = 16)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 16
MSG_bit_len = 128
padded_AAD_byte_len = 0
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
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00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
LENBLK = 00000000000000008000000000000000
Computing POLYVAL on a
buffer of 1 blocks + LENBLK.
POLYVAL = 04000000000000002301000000283b1c
POLYVAL_xor_NONCE = 07000000000000002301000000283b1c
with MSBit cleared = 07000000000000002301000000283b1c
TAG = 147650d36f064f6b5dbbe8f04077d903
AAD =
CT = 565e4a931280ecdece8620abcf90b65e
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
000000006f064f6b5dbbe8f04077d983
--------------------- TWO_KEYS (AAD = 0, MSG = 32)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 32
MSG_bit_len = 256
padded_AAD_byte_len = 0
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padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
02000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 00000000000000000001000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 010000000000000046020000f0507615
POLYVAL_xor_NONCE = 020000000000000046020000f0507615
with MSBit cleared = 020000000000000046020000f0507615
TAG = 78a50cb3f901ee38c588f6662d785a24
AAD =
CT = 9b1d2ba7d2d3a02efeecc18d03be2b56
1753b147ae642183f2c4bbd72e4ed8e1
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000f901ee38c588f6662d785aa4
01000000f901ee38c588f6662d785aa4
Gueron, et al. Expires October 16, 2016 [Page 13]
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--------------------- TWO_KEYS (AAD = 0, MSG = 48)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 48
MSG_bit_len = 384
padded_AAD_byte_len = 0
padded_MSG_byte_len = 48
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 3
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
LENBLK = 00000000000000008001000000000000
Computing POLYVAL on a
buffer of 3 blocks + LENBLK.
POLYVAL = 0e00000000000000650300203e788f7f
POLYVAL_xor_NONCE = 0d00000000000000650300203e788f7f
with MSBit cleared = 0d00000000000000650300203e788f7f
TAG = a75aa62b704e826d984a72184e370598
AAD =
CT = dcc8d2f2c0e30b565f5d3ef58bf6638f
f50e8909ced008e0515b79f7c8c3d1f5
8ec1bb09177133b4cd1b375911d81579
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
Gueron, et al. Expires October 16, 2016 [Page 14]
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2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000704e826d984a72184e370598
01000000704e826d984a72184e370598
02000000704e826d984a72184e370598
--------------------- TWO_KEYS (AAD = 0, MSG = 64)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 64
MSG_bit_len = 512
padded_AAD_byte_len = 0
padded_MSG_byte_len = 64
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 4
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = 00000000000000000002000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 0f000000000000008c04c04c63ad584f
POLYVAL_xor_NONCE = 0c000000000000008c04c04c63ad584f
with MSBit cleared = 0c000000000000008c04c04c63ad584f
TAG = d7f4efe2f6c72e3b8df168cab6b790ab
AAD =
Gueron, et al. Expires October 16, 2016 [Page 15]
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CT = 472d6309563c74b6d5497145e929725a
ab08979e6c4fc72c30c2e3a1ce568b94
92e1b0351167937ee2faae79d40af93e
24eee045fdab1b2040440632f1a34433
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000f6c72e3b8df168cab6b790ab
01000000f6c72e3b8df168cab6b790ab
02000000f6c72e3b8df168cab6b790ab
03000000f6c72e3b8df168cab6b790ab
--------------------- TWO_KEYS (AAD = 1, MSG = 8)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 8
MSG_bit_len = 64
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
Gueron, et al. Expires October 16, 2016 [Page 16]
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MSG = 0200000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 08000000000000004000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 130000000000008091000000f0501631
POLYVAL_xor_NONCE = 100000000000008091000000f0501631
with MSBit cleared = 100000000000008091000000f0501631
TAG = 633c11b2eee1f65be0e3f1e0c824c5e0
AAD = 01
CT = 5adcda74026afb99
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000eee1f65be0e3f1e0c824c5e0
--------------------- TWO_KEYS (AAD = 1, MSG = 12)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 12
MSG_bit_len = 96
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
Gueron, et al. Expires October 16, 2016 [Page 17]
Internet-Draft aes-gcm-siv April 2016
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 020000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 08000000000000006000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 1300000000000040d9000000f0501631
POLYVAL_xor_NONCE = 1000000000000040d9000000f0501631
with MSBit cleared = 1000000000000040d9000000f0501631
TAG = f229e75b2c4c3048fc70f163c9aefe0d
AAD = 01
CT = b4fabbadb27257bbe8b807d5
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
000000002c4c3048fc70f163c9aefe8d
--------------------- TWO_KEYS (AAD = 1, MSG = 16)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 16
MSG_bit_len = 128
Gueron, et al. Expires October 16, 2016 [Page 18]
Internet-Draft aes-gcm-siv April 2016
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 08000000000000008000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 130000000000000023010000f0501631
POLYVAL_xor_NONCE = 100000000000000023010000f0501631
with MSBit cleared = 100000000000000023010000f0501631
TAG = cfb5aa16cdd9d39acc5d99b6eee2c6fc
AAD = 01
CT = dce7c7cd4d1060fdc663b9fe8de25385
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000cdd9d39acc5d99b6eee2c6fc
Gueron, et al. Expires October 16, 2016 [Page 19]
Internet-Draft aes-gcm-siv April 2016
--------------------- TWO_KEYS (AAD = 1, MSG = 32)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 32
MSG_bit_len = 256
padded_AAD_byte_len = 16
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
03000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
LENBLK = 08000000000000000001000000000000
Computing POLYVAL on a
buffer of 3 blocks + LENBLK.
POLYVAL = 1c00000000000000460200203e78ef5b
POLYVAL_xor_NONCE = 1f00000000000000460200203e78ef5b
with MSBit cleared = 1f00000000000000460200203e78ef5b
TAG = 8df5606f057468e4b38e89736255ad2d
AAD = 01
CT = c6d3098e12ac653520764cbccdb90655
b3d91bf034f7549d5f775fca5d6ad34f
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
Gueron, et al. Expires October 16, 2016 [Page 20]
Internet-Draft aes-gcm-siv April 2016
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000057468e4b38e89736255adad
01000000057468e4b38e89736255adad
--------------------- TWO_KEYS (AAD = 1, MSG = 48)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 48
MSG_bit_len = 384
padded_AAD_byte_len = 16
padded_MSG_byte_len = 48
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 3
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = 08000000000000008001000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 1d000000000000006503c04c63ad386b
POLYVAL_xor_NONCE = 1e000000000000006503c04c63ad386b
with MSBit cleared = 1e000000000000006503c04c63ad386b
TAG = b52274e14d6111c74edf5d95855256a2
AAD = 01
CT = 186abbbe486294281b1514c11c240e6a
4d959a1ac6da46e5b83bbe2d3d37de44
ab009bb885b5c0bf83db80b651c06e74
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
Gueron, et al. Expires October 16, 2016 [Page 21]
Internet-Draft aes-gcm-siv April 2016
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
000000004d6111c74edf5d95855256a2
010000004d6111c74edf5d95855256a2
020000004d6111c74edf5d95855256a2
--------------------- TWO_KEYS (AAD = 1, MSG = 64)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 64
MSG_bit_len = 512
padded_AAD_byte_len = 16
padded_MSG_byte_len = 64
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 4
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
05000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
Gueron, et al. Expires October 16, 2016 [Page 22]
Internet-Draft aes-gcm-siv April 2016
04000000000000000000000000000000
05000000000000000000000000000000
LENBLK = 08000000000000000002000000000000
Computing POLYVAL on a
buffer of 5 blocks + LENBLK.
POLYVAL = 1b000000000000008c841a01712a376e
POLYVAL_xor_NONCE = 18000000000000008c841a01712a376e
with MSBit cleared = 18000000000000008c841a01712a376e
TAG = 668fc00b6b40b4bb0c8d6cdb9730358d
AAD = 01
CT = 499ec09c83c2b79cf6b219e6b79ec81c
7c7b572c8a04b322094ec011e7003ded
388627f831ee79bd3df5db27f648125a
fbfe2774388c34bb652b866ca84bdcd8
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
000000006b40b4bb0c8d6cdb9730358d
010000006b40b4bb0c8d6cdb9730358d
020000006b40b4bb0c8d6cdb9730358d
030000006b40b4bb0c8d6cdb9730358d
--------------------- TWO_KEYS (AAD = 12, MSG = 4)---------
AAD_byte_len = 12
AAD_bit_len = 96
MSG_byte_len = 4
MSG_bit_len = 32
padded_AAD_byte_len = 16
Gueron, et al. Expires October 16, 2016 [Page 23]
Internet-Draft aes-gcm-siv April 2016
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 010000000000000000000000
MSG = 02000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 60000000000000002000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = d8000000000000c048000000f050f665
POLYVAL_xor_NONCE = db000000000000c048000000f050f665
with MSBit cleared = db000000000000c048000000f050f665
TAG = 488346eaebe2d64ffa58e0fa82f8cd43
AAD = 010000000000000000000000
CT = 7d5240be
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000ebe2d64ffa58e0fa82f8cdc3
--------------------- TWO_KEYS (AAD = 18, MSG = 20)---------
Gueron, et al. Expires October 16, 2016 [Page 24]
Internet-Draft aes-gcm-siv April 2016
AAD_byte_len = 18
AAD_bit_len = 144
MSG_byte_len = 20
MSG_bit_len = 160
padded_AAD_byte_len = 32
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 2
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01000000000000000000000000000000
0200
MSG = 03000000000000000000000000000000
04000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = 9000000000000000a000000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 08010000000000c06b01c04c63ad9807
POLYVAL_xor_NONCE = 0b010000000000c06b01c04c63ad9807
with MSBit cleared = 0b010000000000c06b01c04c63ad9807
TAG = d010794cfdbbc65ef641b8ccb9c2dda3
AAD = 01000000000000000000000000000000
0200
CT = 6d98c309d4f472480c5b1389e83569e5
217ddb9c
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
Gueron, et al. Expires October 16, 2016 [Page 25]
Internet-Draft aes-gcm-siv April 2016
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000fdbbc65ef641b8ccb9c2dda3
01000000fdbbc65ef641b8ccb9c2dda3
--------------------- TWO_KEYS (AAD = 20, MSG = 18)---------
AAD_byte_len = 20
AAD_bit_len = 160
MSG_byte_len = 18
MSG_bit_len = 144
padded_AAD_byte_len = 32
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 2
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01000000000000000000000000000000
02000000
MSG = 03000000000000000000000000000000
0400
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = a0000000000000009000000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 64010000000000600701c04c63add8de
POLYVAL_xor_NONCE = 67010000000000600701c04c63add8de
with MSBit cleared = 67010000000000600701c04c63add85e
TAG = 98e16515942fb8ff9ef108e7ce53a963
AAD = 01000000000000000000000000000000
02000000
CT = 4649087685b01b476bd3420f36ca67d3
b18b
Gueron, et al. Expires October 16, 2016 [Page 26]
Internet-Draft aes-gcm-siv April 2016
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000942fb8ff9ef108e7ce53a9e3
01000000942fb8ff9ef108e7ce53a9e3
--------------------- TWO_KEYS (AAD = 0, MSG = 0)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 0
MSG_bit_len = 0
padded_AAD_byte_len = 0
padded_MSG_byte_len = 0
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 0
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG =
PADDED_AAD_and_MSG =
LENBLK = 00000000000000000000000000000000
Computing POLYVAL on a
buffer of 0 blocks + LENBLK.
Gueron, et al. Expires October 16, 2016 [Page 27]
Internet-Draft aes-gcm-siv April 2016
POLYVAL = 00000000000000000000000000000000
POLYVAL_xor_NONCE = 03000000000000000000000000000000
with MSBit cleared = 03000000000000000000000000000000
TAG = fabfd7964630aa6128ee6269f061f08b
AAD =
CT =
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
--------------------- TWO_KEYS (AAD = 0, MSG = 8)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 8
MSG_bit_len = 64
padded_AAD_byte_len = 0
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 0100000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
Gueron, et al. Expires October 16, 2016 [Page 28]
Internet-Draft aes-gcm-siv April 2016
LENBLK = 00000000000000004000000000000000
Computing POLYVAL on a
buffer of 1 blocks + LENBLK.
POLYVAL = 04000000000000809100000000283b1c
POLYVAL_xor_NONCE = 07000000000000809100000000283b1c
with MSBit cleared = 07000000000000809100000000283b1c
TAG = 5537355b0a4f4cb05ce77d1b815d7299
AAD =
CT = 3b0f5baabe526e9f
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
000000000a4f4cb05ce77d1b815d7299
--------------------- TWO_KEYS (AAD = 0, MSG = 12)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 12
MSG_bit_len = 96
padded_AAD_byte_len = 0
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
Gueron, et al. Expires October 16, 2016 [Page 29]
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K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 010000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
LENBLK = 00000000000000006000000000000000
Computing POLYVAL on a
buffer of 1 blocks + LENBLK.
POLYVAL = 0400000000000040d900000000283b1c
POLYVAL_xor_NONCE = 0700000000000040d900000000283b1c
with MSBit cleared = 0700000000000040d900000000283b1c
TAG = dd55830c690eadd7fd2155b3615470bd
AAD =
CT = 9391b4122fccfecb60ec40ab
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000690eadd7fd2155b3615470bd
--------------------- TWO_KEYS (AAD = 0, MSG = 16)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 16
MSG_bit_len = 128
padded_AAD_byte_len = 0
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 1
Gueron, et al. Expires October 16, 2016 [Page 30]
Internet-Draft aes-gcm-siv April 2016
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
LENBLK = 00000000000000008000000000000000
Computing POLYVAL on a
buffer of 1 blocks + LENBLK.
POLYVAL = 04000000000000002301000000283b1c
POLYVAL_xor_NONCE = 07000000000000002301000000283b1c
with MSBit cleared = 07000000000000002301000000283b1c
TAG = 147650d36f064f6b5dbbe8f04077d903
AAD =
CT = 565e4a931280ecdece8620abcf90b65e
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
000000006f064f6b5dbbe8f04077d983
--------------------- TWO_KEYS (AAD = 0, MSG = 32)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 32
Gueron, et al. Expires October 16, 2016 [Page 31]
Internet-Draft aes-gcm-siv April 2016
MSG_bit_len = 256
padded_AAD_byte_len = 0
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
02000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 00000000000000000001000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 010000000000000046020000f0507615
POLYVAL_xor_NONCE = 020000000000000046020000f0507615
with MSBit cleared = 020000000000000046020000f0507615
TAG = 78a50cb3f901ee38c588f6662d785a24
AAD =
CT = 9b1d2ba7d2d3a02efeecc18d03be2b56
1753b147ae642183f2c4bbd72e4ed8e1
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000f901ee38c588f6662d785aa4
Gueron, et al. Expires October 16, 2016 [Page 32]
Internet-Draft aes-gcm-siv April 2016
01000000f901ee38c588f6662d785aa4
--------------------- TWO_KEYS (AAD = 0, MSG = 48)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 48
MSG_bit_len = 384
padded_AAD_byte_len = 0
padded_MSG_byte_len = 48
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 3
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
LENBLK = 00000000000000008001000000000000
Computing POLYVAL on a
buffer of 3 blocks + LENBLK.
POLYVAL = 0e00000000000000650300203e788f7f
POLYVAL_xor_NONCE = 0d00000000000000650300203e788f7f
with MSBit cleared = 0d00000000000000650300203e788f7f
TAG = a75aa62b704e826d984a72184e370598
AAD =
CT = dcc8d2f2c0e30b565f5d3ef58bf6638f
f50e8909ced008e0515b79f7c8c3d1f5
8ec1bb09177133b4cd1b375911d81579
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
Gueron, et al. Expires October 16, 2016 [Page 33]
Internet-Draft aes-gcm-siv April 2016
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000704e826d984a72184e370598
01000000704e826d984a72184e370598
02000000704e826d984a72184e370598
--------------------- TWO_KEYS (AAD = 0, MSG = 64)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 64
MSG_bit_len = 512
padded_AAD_byte_len = 0
padded_MSG_byte_len = 64
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 4
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = 00000000000000000002000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 0f000000000000008c04c04c63ad584f
Gueron, et al. Expires October 16, 2016 [Page 34]
Internet-Draft aes-gcm-siv April 2016
POLYVAL_xor_NONCE = 0c000000000000008c04c04c63ad584f
with MSBit cleared = 0c000000000000008c04c04c63ad584f
TAG = d7f4efe2f6c72e3b8df168cab6b790ab
AAD =
CT = 472d6309563c74b6d5497145e929725a
ab08979e6c4fc72c30c2e3a1ce568b94
92e1b0351167937ee2faae79d40af93e
24eee045fdab1b2040440632f1a34433
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000f6c72e3b8df168cab6b790ab
01000000f6c72e3b8df168cab6b790ab
02000000f6c72e3b8df168cab6b790ab
03000000f6c72e3b8df168cab6b790ab
--------------------- TWO_KEYS (AAD = 1, MSG = 8)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 8
MSG_bit_len = 64
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
Gueron, et al. Expires October 16, 2016 [Page 35]
Internet-Draft aes-gcm-siv April 2016
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 0200000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 08000000000000004000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 130000000000008091000000f0501631
POLYVAL_xor_NONCE = 100000000000008091000000f0501631
with MSBit cleared = 100000000000008091000000f0501631
TAG = 633c11b2eee1f65be0e3f1e0c824c5e0
AAD = 01
CT = 5adcda74026afb99
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000eee1f65be0e3f1e0c824c5e0
--------------------- TWO_KEYS (AAD = 1, MSG = 12)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 12
MSG_bit_len = 96
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
Gueron, et al. Expires October 16, 2016 [Page 36]
Internet-Draft aes-gcm-siv April 2016
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 020000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 08000000000000006000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 1300000000000040d9000000f0501631
POLYVAL_xor_NONCE = 1000000000000040d9000000f0501631
with MSBit cleared = 1000000000000040d9000000f0501631
TAG = f229e75b2c4c3048fc70f163c9aefe0d
AAD = 01
CT = b4fabbadb27257bbe8b807d5
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
000000002c4c3048fc70f163c9aefe8d
--------------------- TWO_KEYS (AAD = 1, MSG = 16)---------
Gueron, et al. Expires October 16, 2016 [Page 37]
Internet-Draft aes-gcm-siv April 2016
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 16
MSG_bit_len = 128
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 08000000000000008000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 130000000000000023010000f0501631
POLYVAL_xor_NONCE = 100000000000000023010000f0501631
with MSBit cleared = 100000000000000023010000f0501631
TAG = cfb5aa16cdd9d39acc5d99b6eee2c6fc
AAD = 01
CT = dce7c7cd4d1060fdc663b9fe8de25385
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
Gueron, et al. Expires October 16, 2016 [Page 38]
Internet-Draft aes-gcm-siv April 2016
00000000cdd9d39acc5d99b6eee2c6fc
--------------------- TWO_KEYS (AAD = 1, MSG = 32)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 32
MSG_bit_len = 256
padded_AAD_byte_len = 16
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
03000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
LENBLK = 08000000000000000001000000000000
Computing POLYVAL on a
buffer of 3 blocks + LENBLK.
POLYVAL = 1c00000000000000460200203e78ef5b
POLYVAL_xor_NONCE = 1f00000000000000460200203e78ef5b
with MSBit cleared = 1f00000000000000460200203e78ef5b
TAG = 8df5606f057468e4b38e89736255ad2d
AAD = 01
CT = c6d3098e12ac653520764cbccdb90655
b3d91bf034f7549d5f775fca5d6ad34f
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
Gueron, et al. Expires October 16, 2016 [Page 39]
Internet-Draft aes-gcm-siv April 2016
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000057468e4b38e89736255adad
01000000057468e4b38e89736255adad
--------------------- TWO_KEYS (AAD = 1, MSG = 48)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 48
MSG_bit_len = 384
padded_AAD_byte_len = 16
padded_MSG_byte_len = 48
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 3
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = 08000000000000008001000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 1d000000000000006503c04c63ad386b
POLYVAL_xor_NONCE = 1e000000000000006503c04c63ad386b
with MSBit cleared = 1e000000000000006503c04c63ad386b
TAG = b52274e14d6111c74edf5d95855256a2
AAD = 01
Gueron, et al. Expires October 16, 2016 [Page 40]
Internet-Draft aes-gcm-siv April 2016
CT = 186abbbe486294281b1514c11c240e6a
4d959a1ac6da46e5b83bbe2d3d37de44
ab009bb885b5c0bf83db80b651c06e74
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
000000004d6111c74edf5d95855256a2
010000004d6111c74edf5d95855256a2
020000004d6111c74edf5d95855256a2
--------------------- TWO_KEYS (AAD = 1, MSG = 64)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 64
MSG_bit_len = 512
padded_AAD_byte_len = 16
padded_MSG_byte_len = 64
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 4
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
03000000000000000000000000000000
Gueron, et al. Expires October 16, 2016 [Page 41]
Internet-Draft aes-gcm-siv April 2016
04000000000000000000000000000000
05000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
05000000000000000000000000000000
LENBLK = 08000000000000000002000000000000
Computing POLYVAL on a
buffer of 5 blocks + LENBLK.
POLYVAL = 1b000000000000008c841a01712a376e
POLYVAL_xor_NONCE = 18000000000000008c841a01712a376e
with MSBit cleared = 18000000000000008c841a01712a376e
TAG = 668fc00b6b40b4bb0c8d6cdb9730358d
AAD = 01
CT = 499ec09c83c2b79cf6b219e6b79ec81c
7c7b572c8a04b322094ec011e7003ded
388627f831ee79bd3df5db27f648125a
fbfe2774388c34bb652b866ca84bdcd8
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
000000006b40b4bb0c8d6cdb9730358d
010000006b40b4bb0c8d6cdb9730358d
020000006b40b4bb0c8d6cdb9730358d
030000006b40b4bb0c8d6cdb9730358d
--------------------- TWO_KEYS (AAD = 12, MSG = 4)---------
Gueron, et al. Expires October 16, 2016 [Page 42]
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AAD_byte_len = 12
AAD_bit_len = 96
MSG_byte_len = 4
MSG_bit_len = 32
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 010000000000000000000000
MSG = 02000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 60000000000000002000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = d8000000000000c048000000f050f665
POLYVAL_xor_NONCE = db000000000000c048000000f050f665
with MSBit cleared = db000000000000c048000000f050f665
TAG = 488346eaebe2d64ffa58e0fa82f8cd43
AAD = 010000000000000000000000
CT = 7d5240be
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
Gueron, et al. Expires October 16, 2016 [Page 43]
Internet-Draft aes-gcm-siv April 2016
00000000ebe2d64ffa58e0fa82f8cdc3
--------------------- TWO_KEYS (AAD = 18, MSG = 20)---------
AAD_byte_len = 18
AAD_bit_len = 144
MSG_byte_len = 20
MSG_bit_len = 160
padded_AAD_byte_len = 32
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 2
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01000000000000000000000000000000
0200
MSG = 03000000000000000000000000000000
04000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = 9000000000000000a000000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 08010000000000c06b01c04c63ad9807
POLYVAL_xor_NONCE = 0b010000000000c06b01c04c63ad9807
with MSBit cleared = 0b010000000000c06b01c04c63ad9807
TAG = d010794cfdbbc65ef641b8ccb9c2dda3
AAD = 01000000000000000000000000000000
0200
CT = 6d98c309d4f472480c5b1389e83569e5
217ddb9c
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
Gueron, et al. Expires October 16, 2016 [Page 44]
Internet-Draft aes-gcm-siv April 2016
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000fdbbc65ef641b8ccb9c2dda3
01000000fdbbc65ef641b8ccb9c2dda3
--------------------- TWO_KEYS (AAD = 20, MSG = 18)---------
AAD_byte_len = 20
AAD_bit_len = 160
MSG_byte_len = 18
MSG_bit_len = 144
padded_AAD_byte_len = 32
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 2
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01000000000000000000000000000000
02000000
MSG = 03000000000000000000000000000000
0400
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = a0000000000000009000000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 64010000000000600701c04c63add8de
POLYVAL_xor_NONCE = 67010000000000600701c04c63add8de
Gueron, et al. Expires October 16, 2016 [Page 45]
Internet-Draft aes-gcm-siv April 2016
with MSBit cleared = 67010000000000600701c04c63add85e
TAG = 98e16515942fb8ff9ef108e7ce53a963
AAD = 01000000000000000000000000000000
02000000
CT = 4649087685b01b476bd3420f36ca67d3
b18b
Encryption_Key= 57d4b7aec8de993e30a6861b61e6ce4e
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) 57d4b7aec8de993e30a6861b61e6ce4e
d85f98411081017f2027876441c1492a
a2647dc2b2e57cbd92c2fbd9d303b2f3
dd5370a46fb60c19fd74f7c02e774533
203db3954f8bbf8cb2ff484c9c880d7f
f4ea614bbb61dec7099e968b95169bf4
93fede61289f00a62101962db4170dd9
2329ebec0bb6eb4a2ab77d679ea070be
437845e748ceaead6279d3cafcd9a374
6d72d75725bc79fa47c5aa30bb1c0944
c773ccbde2cfb547a50a1f771e161633
CTRBLKS (with MSbit set to 1)
00000000942fb8ff9ef108e7ce53a9e3
01000000942fb8ff9ef108e7ce53a9e3
A.2. AEAD_AES_256_GCM_SIV
--------------------- TWO_KEYS (AAD = 0, MSG = 0)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 0
MSG_bit_len = 0
padded_AAD_byte_len = 0
padded_MSG_byte_len = 0
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 0
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
Gueron, et al. Expires October 16, 2016 [Page 46]
Internet-Draft aes-gcm-siv April 2016
AAD =
MSG =
PADDED_AAD_and_MSG =
LENBLK = 00000000000000000000000000000000
Computing POLYVAL on a
buffer of 0 blocks + LENBLK.
POLYVAL = 00000000000000000000000000000000
POLYVAL_xor_NONCE = 03000000000000000000000000000000
with MSBit cleared = 03000000000000000000000000000000
TAG = de1a5fcd85a5217d91d8b349ab9cd224
AAD =
CT =
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
--------------------- TWO_KEYS (AAD = 0, MSG = 8)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 8
MSG_bit_len = 64
padded_AAD_byte_len = 0
padded_MSG_byte_len = 16
Gueron, et al. Expires October 16, 2016 [Page 47]
Internet-Draft aes-gcm-siv April 2016
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 0100000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
LENBLK = 00000000000000004000000000000000
Computing POLYVAL on a
buffer of 1 blocks + LENBLK.
POLYVAL = 04000000000000809100000000283b1c
POLYVAL_xor_NONCE = 07000000000000809100000000283b1c
with MSBit cleared = 07000000000000809100000000283b1c
TAG = 90d1e4ad87f53fbf3eb26c066193fdf3
AAD =
CT = 4b0619edd74c6a09
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
0000000087f53fbf3eb26c066193fdf3
Gueron, et al. Expires October 16, 2016 [Page 48]
Internet-Draft aes-gcm-siv April 2016
--------------------- TWO_KEYS (AAD = 0, MSG = 12)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 12
MSG_bit_len = 96
padded_AAD_byte_len = 0
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 010000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
LENBLK = 00000000000000006000000000000000
Computing POLYVAL on a
buffer of 1 blocks + LENBLK.
POLYVAL = 0400000000000040d900000000283b1c
POLYVAL_xor_NONCE = 0700000000000040d900000000283b1c
with MSBit cleared = 0700000000000040d900000000283b1c
TAG = a42c36bcd7dd95273c5ded5a5ab0a8fc
AAD =
CT = ea410b6727fe50357dc2c9f9
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
Gueron, et al. Expires October 16, 2016 [Page 49]
Internet-Draft aes-gcm-siv April 2016
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
00000000d7dd95273c5ded5a5ab0a8fc
--------------------- TWO_KEYS (AAD = 0, MSG = 16)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 16
MSG_bit_len = 128
padded_AAD_byte_len = 0
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
LENBLK = 00000000000000008000000000000000
Computing POLYVAL on a
buffer of 1 blocks + LENBLK.
POLYVAL = 04000000000000002301000000283b1c
POLYVAL_xor_NONCE = 07000000000000002301000000283b1c
with MSBit cleared = 07000000000000002301000000283b1c
TAG = a86f26245dea30d23ec045223ef5851e
AAD =
CT = d5d6c0782d45de97a027156334229387
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
Gueron, et al. Expires October 16, 2016 [Page 50]
Internet-Draft aes-gcm-siv April 2016
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
000000005dea30d23ec045223ef5859e
--------------------- TWO_KEYS (AAD = 0, MSG = 32)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 32
MSG_bit_len = 256
padded_AAD_byte_len = 0
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
02000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 00000000000000000001000000000000
Computing POLYVAL on a
Gueron, et al. Expires October 16, 2016 [Page 51]
Internet-Draft aes-gcm-siv April 2016
buffer of 2 blocks + LENBLK.
POLYVAL = 010000000000000046020000f0507615
POLYVAL_xor_NONCE = 020000000000000046020000f0507615
with MSBit cleared = 020000000000000046020000f0507615
TAG = ac78c482d3499b26ae97bf353c2c1bdb
AAD =
CT = cac82890d7f5a8330fa2f0f03701901a
ed8a98666b42f74cc1887bd18964cf37
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
00000000d3499b26ae97bf353c2c1bdb
01000000d3499b26ae97bf353c2c1bdb
--------------------- TWO_KEYS (AAD = 0, MSG = 48)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 48
MSG_bit_len = 384
padded_AAD_byte_len = 0
padded_MSG_byte_len = 48
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 3
BYTES ORDER
Gueron, et al. Expires October 16, 2016 [Page 52]
Internet-Draft aes-gcm-siv April 2016
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
LENBLK = 00000000000000008001000000000000
Computing POLYVAL on a
buffer of 3 blocks + LENBLK.
POLYVAL = 0e00000000000000650300203e788f7f
POLYVAL_xor_NONCE = 0d00000000000000650300203e788f7f
with MSBit cleared = 0d00000000000000650300203e788f7f
TAG = d47a0a762c2dea133c87aea50fb1c1b3
AAD =
CT = bd562c8f8bbde467149c17a3f316fd2c
8859c748760332d3296a5b233c4059e3
e70a042dfc2b1812f484801a184b23ae
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
Gueron, et al. Expires October 16, 2016 [Page 53]
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CTRBLKS (with MSbit set to 1)
000000002c2dea133c87aea50fb1c1b3
010000002c2dea133c87aea50fb1c1b3
020000002c2dea133c87aea50fb1c1b3
--------------------- TWO_KEYS (AAD = 0, MSG = 64)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 64
MSG_bit_len = 512
padded_AAD_byte_len = 0
padded_MSG_byte_len = 64
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 4
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = 00000000000000000002000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 0f000000000000008c04c04c63ad584f
POLYVAL_xor_NONCE = 0c000000000000008c04c04c63ad584f
with MSBit cleared = 0c000000000000008c04c04c63ad584f
TAG = 15e4bd316b19caa3a3493a81a3e4153c
AAD =
CT = d53e727defb0fe560c87f405ab19b1a2
6fd85249324b974564c477b2eb4d4162
943fa821946537d507e0713dcc556075
220130acb5f3daa8dd46ee9af3b36642
Gueron, et al. Expires October 16, 2016 [Page 54]
Internet-Draft aes-gcm-siv April 2016
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
000000006b19caa3a3493a81a3e415bc
010000006b19caa3a3493a81a3e415bc
020000006b19caa3a3493a81a3e415bc
030000006b19caa3a3493a81a3e415bc
--------------------- TWO_KEYS (AAD = 1, MSG = 8)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 8
MSG_bit_len = 64
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
Gueron, et al. Expires October 16, 2016 [Page 55]
Internet-Draft aes-gcm-siv April 2016
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 0200000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 08000000000000004000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 130000000000008091000000f0501631
POLYVAL_xor_NONCE = 100000000000008091000000f0501631
with MSBit cleared = 100000000000008091000000f0501631
TAG = 4cac1deb89734986b5f0546c661932e9
AAD = 01
CT = 8e5a22875d5d692e
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
0000000089734986b5f0546c661932e9
--------------------- TWO_KEYS (AAD = 1, MSG = 12)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 12
Gueron, et al. Expires October 16, 2016 [Page 56]
Internet-Draft aes-gcm-siv April 2016
MSG_bit_len = 96
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 020000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 08000000000000006000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 1300000000000040d9000000f0501631
POLYVAL_xor_NONCE = 1000000000000040d9000000f0501631
with MSBit cleared = 1000000000000040d9000000f0501631
TAG = 42794bd56cd0b78ebdad8dc2c2c11720
AAD = 01
CT = ed921994f8d27aad941bfb6f
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
Gueron, et al. Expires October 16, 2016 [Page 57]
Internet-Draft aes-gcm-siv April 2016
CTRBLKS (with MSbit set to 1)
000000006cd0b78ebdad8dc2c2c117a0
--------------------- TWO_KEYS (AAD = 1, MSG = 16)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 16
MSG_bit_len = 128
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 08000000000000008000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 130000000000000023010000f0501631
POLYVAL_xor_NONCE = 100000000000000023010000f0501631
with MSBit cleared = 100000000000000023010000f0501631
TAG = 1e1fb157ee961567ee5a686a3ac66e74
AAD = 01
CT = 295cb156a7ccc66c9026829a26b08a92
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
Gueron, et al. Expires October 16, 2016 [Page 58]
Internet-Draft aes-gcm-siv April 2016
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
00000000ee961567ee5a686a3ac66ef4
--------------------- TWO_KEYS (AAD = 1, MSG = 32)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 32
MSG_bit_len = 256
padded_AAD_byte_len = 16
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
03000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
LENBLK = 08000000000000000001000000000000
Computing POLYVAL on a
buffer of 3 blocks + LENBLK.
POLYVAL = 1c00000000000000460200203e78ef5b
POLYVAL_xor_NONCE = 1f00000000000000460200203e78ef5b
Gueron, et al. Expires October 16, 2016 [Page 59]
Internet-Draft aes-gcm-siv April 2016
with MSBit cleared = 1f00000000000000460200203e78ef5b
TAG = c5558db375fc7fb253b477d990435e79
AAD = 01
CT = b1403a920a945105017054ccd7754e54
7f471b9e42bd847f9ff2a6d5e1f72b92
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
0000000075fc7fb253b477d990435ef9
0100000075fc7fb253b477d990435ef9
--------------------- TWO_KEYS (AAD = 1, MSG = 48)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 48
MSG_bit_len = 384
padded_AAD_byte_len = 16
padded_MSG_byte_len = 48
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 3
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
Gueron, et al. Expires October 16, 2016 [Page 60]
Internet-Draft aes-gcm-siv April 2016
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = 08000000000000008001000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 1d000000000000006503c04c63ad386b
POLYVAL_xor_NONCE = 1e000000000000006503c04c63ad386b
with MSBit cleared = 1e000000000000006503c04c63ad386b
TAG = 54538b4b90c4877f29632ec9441d9809
AAD = 01
CT = 687c9c5846e8fde28bc1bde37dd15b80
7ab731537d765e93f0d74bcac390ffbd
b71ddb1af7505791ca74e87c697120b8
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
Gueron, et al. Expires October 16, 2016 [Page 61]
Internet-Draft aes-gcm-siv April 2016
0000000090c4877f29632ec9441d9889
0100000090c4877f29632ec9441d9889
0200000090c4877f29632ec9441d9889
--------------------- TWO_KEYS (AAD = 1, MSG = 64)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 64
MSG_bit_len = 512
padded_AAD_byte_len = 16
padded_MSG_byte_len = 64
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 4
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
05000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
05000000000000000000000000000000
LENBLK = 08000000000000000002000000000000
Computing POLYVAL on a
buffer of 5 blocks + LENBLK.
POLYVAL = 1b000000000000008c841a01712a376e
POLYVAL_xor_NONCE = 18000000000000008c841a01712a376e
with MSBit cleared = 18000000000000008c841a01712a376e
TAG = 49650717f842d3d193e3cc498e80f2c7
AAD = 01
CT = c17abb9e321814304f3844af4c90cb8e
a89be09bd7a43a05021266c59a31609a
3a2e7edf107c4c83d8370b36e52caca9
de04c10dfd7eac3008852914cd9e900d
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
Gueron, et al. Expires October 16, 2016 [Page 62]
Internet-Draft aes-gcm-siv April 2016
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
00000000f842d3d193e3cc498e80f2c7
01000000f842d3d193e3cc498e80f2c7
02000000f842d3d193e3cc498e80f2c7
03000000f842d3d193e3cc498e80f2c7
--------------------- TWO_KEYS (AAD = 12, MSG = 4)---------
AAD_byte_len = 12
AAD_bit_len = 96
MSG_byte_len = 4
MSG_bit_len = 32
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
Gueron, et al. Expires October 16, 2016 [Page 63]
Internet-Draft aes-gcm-siv April 2016
AAD = 010000000000000000000000
MSG = 02000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 60000000000000002000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = d8000000000000c048000000f050f665
POLYVAL_xor_NONCE = db000000000000c048000000f050f665
with MSBit cleared = db000000000000c048000000f050f665
TAG = 0ee2162b829d1b8087a61dec79c2b4dd
AAD = 010000000000000000000000
CT = 7f25e1eb
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
00000000829d1b8087a61dec79c2b4dd
--------------------- TWO_KEYS (AAD = 18, MSG = 20)---------
AAD_byte_len = 18
AAD_bit_len = 144
MSG_byte_len = 20
MSG_bit_len = 160
Gueron, et al. Expires October 16, 2016 [Page 64]
Internet-Draft aes-gcm-siv April 2016
padded_AAD_byte_len = 32
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 2
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01000000000000000000000000000000
0200
MSG = 03000000000000000000000000000000
04000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = 9000000000000000a000000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 08010000000000c06b01c04c63ad9807
POLYVAL_xor_NONCE = 0b010000000000c06b01c04c63ad9807
with MSBit cleared = 0b010000000000c06b01c04c63ad9807
TAG = 07e3ed3f0c192bb05b8de76bba7901aa
AAD = 01000000000000000000000000000000
0200
CT = 4f39b03d1cf9f45d74e756ff1a382004
54b94c28
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
Gueron, et al. Expires October 16, 2016 [Page 65]
Internet-Draft aes-gcm-siv April 2016
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
000000000c192bb05b8de76bba7901aa
010000000c192bb05b8de76bba7901aa
--------------------- TWO_KEYS (AAD = 20, MSG = 18)---------
AAD_byte_len = 20
AAD_bit_len = 160
MSG_byte_len = 18
MSG_bit_len = 144
padded_AAD_byte_len = 32
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 2
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01000000000000000000000000000000
02000000
MSG = 03000000000000000000000000000000
0400
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = a0000000000000009000000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 64010000000000600701c04c63add8de
POLYVAL_xor_NONCE = 67010000000000600701c04c63add8de
with MSBit cleared = 67010000000000600701c04c63add85e
TAG = 33f0e38bd6fb197ed4f7eaaea861d60b
AAD = 01000000000000000000000000000000
Gueron, et al. Expires October 16, 2016 [Page 66]
Internet-Draft aes-gcm-siv April 2016
02000000
CT = 625534f47020a12f11754fbc86ed46cf
41d0
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
00000000d6fb197ed4f7eaaea861d68b
01000000d6fb197ed4f7eaaea861d68b
--------------------- TWO_KEYS (AAD = 0, MSG = 0)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 0
MSG_bit_len = 0
padded_AAD_byte_len = 0
padded_MSG_byte_len = 0
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 0
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
Gueron, et al. Expires October 16, 2016 [Page 67]
Internet-Draft aes-gcm-siv April 2016
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG =
PADDED_AAD_and_MSG =
LENBLK = 00000000000000000000000000000000
Computing POLYVAL on a
buffer of 0 blocks + LENBLK.
POLYVAL = 00000000000000000000000000000000
POLYVAL_xor_NONCE = 03000000000000000000000000000000
with MSBit cleared = 03000000000000000000000000000000
TAG = de1a5fcd85a5217d91d8b349ab9cd224
AAD =
CT =
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
--------------------- TWO_KEYS (AAD = 0, MSG = 8)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 8
MSG_bit_len = 64
Gueron, et al. Expires October 16, 2016 [Page 68]
Internet-Draft aes-gcm-siv April 2016
padded_AAD_byte_len = 0
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 0100000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
LENBLK = 00000000000000004000000000000000
Computing POLYVAL on a
buffer of 1 blocks + LENBLK.
POLYVAL = 04000000000000809100000000283b1c
POLYVAL_xor_NONCE = 07000000000000809100000000283b1c
with MSBit cleared = 07000000000000809100000000283b1c
TAG = 90d1e4ad87f53fbf3eb26c066193fdf3
AAD =
CT = 4b0619edd74c6a09
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
Gueron, et al. Expires October 16, 2016 [Page 69]
Internet-Draft aes-gcm-siv April 2016
0000000087f53fbf3eb26c066193fdf3
--------------------- TWO_KEYS (AAD = 0, MSG = 12)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 12
MSG_bit_len = 96
padded_AAD_byte_len = 0
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 010000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
LENBLK = 00000000000000006000000000000000
Computing POLYVAL on a
buffer of 1 blocks + LENBLK.
POLYVAL = 0400000000000040d900000000283b1c
POLYVAL_xor_NONCE = 0700000000000040d900000000283b1c
with MSBit cleared = 0700000000000040d900000000283b1c
TAG = a42c36bcd7dd95273c5ded5a5ab0a8fc
AAD =
CT = ea410b6727fe50357dc2c9f9
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
Gueron, et al. Expires October 16, 2016 [Page 70]
Internet-Draft aes-gcm-siv April 2016
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
00000000d7dd95273c5ded5a5ab0a8fc
--------------------- TWO_KEYS (AAD = 0, MSG = 16)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 16
MSG_bit_len = 128
padded_AAD_byte_len = 0
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
LENBLK = 00000000000000008000000000000000
Computing POLYVAL on a
buffer of 1 blocks + LENBLK.
POLYVAL = 04000000000000002301000000283b1c
POLYVAL_xor_NONCE = 07000000000000002301000000283b1c
with MSBit cleared = 07000000000000002301000000283b1c
TAG = a86f26245dea30d23ec045223ef5851e
AAD =
CT = d5d6c0782d45de97a027156334229387
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
Gueron, et al. Expires October 16, 2016 [Page 71]
Internet-Draft aes-gcm-siv April 2016
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
000000005dea30d23ec045223ef5859e
--------------------- TWO_KEYS (AAD = 0, MSG = 32)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 32
MSG_bit_len = 256
padded_AAD_byte_len = 0
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
02000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
Gueron, et al. Expires October 16, 2016 [Page 72]
Internet-Draft aes-gcm-siv April 2016
LENBLK = 00000000000000000001000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 010000000000000046020000f0507615
POLYVAL_xor_NONCE = 020000000000000046020000f0507615
with MSBit cleared = 020000000000000046020000f0507615
TAG = ac78c482d3499b26ae97bf353c2c1bdb
AAD =
CT = cac82890d7f5a8330fa2f0f03701901a
ed8a98666b42f74cc1887bd18964cf37
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
00000000d3499b26ae97bf353c2c1bdb
01000000d3499b26ae97bf353c2c1bdb
--------------------- TWO_KEYS (AAD = 0, MSG = 48)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 48
MSG_bit_len = 384
padded_AAD_byte_len = 0
padded_MSG_byte_len = 48
Gueron, et al. Expires October 16, 2016 [Page 73]
Internet-Draft aes-gcm-siv April 2016
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 3
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
LENBLK = 00000000000000008001000000000000
Computing POLYVAL on a
buffer of 3 blocks + LENBLK.
POLYVAL = 0e00000000000000650300203e788f7f
POLYVAL_xor_NONCE = 0d00000000000000650300203e788f7f
with MSBit cleared = 0d00000000000000650300203e788f7f
TAG = d47a0a762c2dea133c87aea50fb1c1b3
AAD =
CT = bd562c8f8bbde467149c17a3f316fd2c
8859c748760332d3296a5b233c4059e3
e70a042dfc2b1812f484801a184b23ae
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
Gueron, et al. Expires October 16, 2016 [Page 74]
Internet-Draft aes-gcm-siv April 2016
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
000000002c2dea133c87aea50fb1c1b3
010000002c2dea133c87aea50fb1c1b3
020000002c2dea133c87aea50fb1c1b3
--------------------- TWO_KEYS (AAD = 0, MSG = 64)---------
AAD_byte_len = 0
AAD_bit_len = 0
MSG_byte_len = 64
MSG_bit_len = 512
padded_AAD_byte_len = 0
padded_MSG_byte_len = 64
L1 blocks AAD(padded) = 0
L2 blocks MSG(padded) = 4
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD =
MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = 00000000000000000002000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 0f000000000000008c04c04c63ad584f
POLYVAL_xor_NONCE = 0c000000000000008c04c04c63ad584f
with MSBit cleared = 0c000000000000008c04c04c63ad584f
TAG = 15e4bd316b19caa3a3493a81a3e4153c
AAD =
CT = d53e727defb0fe560c87f405ab19b1a2
Gueron, et al. Expires October 16, 2016 [Page 75]
Internet-Draft aes-gcm-siv April 2016
6fd85249324b974564c477b2eb4d4162
943fa821946537d507e0713dcc556075
220130acb5f3daa8dd46ee9af3b36642
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
000000006b19caa3a3493a81a3e415bc
010000006b19caa3a3493a81a3e415bc
020000006b19caa3a3493a81a3e415bc
030000006b19caa3a3493a81a3e415bc
--------------------- TWO_KEYS (AAD = 1, MSG = 8)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 8
MSG_bit_len = 64
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
Gueron, et al. Expires October 16, 2016 [Page 76]
Internet-Draft aes-gcm-siv April 2016
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 0200000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 08000000000000004000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 130000000000008091000000f0501631
POLYVAL_xor_NONCE = 100000000000008091000000f0501631
with MSBit cleared = 100000000000008091000000f0501631
TAG = 4cac1deb89734986b5f0546c661932e9
AAD = 01
CT = 8e5a22875d5d692e
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
0000000089734986b5f0546c661932e9
--------------------- TWO_KEYS (AAD = 1, MSG = 12)---------
Gueron, et al. Expires October 16, 2016 [Page 77]
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AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 12
MSG_bit_len = 96
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 020000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 08000000000000006000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 1300000000000040d9000000f0501631
POLYVAL_xor_NONCE = 1000000000000040d9000000f0501631
with MSBit cleared = 1000000000000040d9000000f0501631
TAG = 42794bd56cd0b78ebdad8dc2c2c11720
AAD = 01
CT = ed921994f8d27aad941bfb6f
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
Gueron, et al. Expires October 16, 2016 [Page 78]
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deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
000000006cd0b78ebdad8dc2c2c117a0
--------------------- TWO_KEYS (AAD = 1, MSG = 16)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 16
MSG_bit_len = 128
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 08000000000000008000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = 130000000000000023010000f0501631
POLYVAL_xor_NONCE = 100000000000000023010000f0501631
with MSBit cleared = 100000000000000023010000f0501631
TAG = 1e1fb157ee961567ee5a686a3ac66e74
AAD = 01
CT = 295cb156a7ccc66c9026829a26b08a92
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
Gueron, et al. Expires October 16, 2016 [Page 79]
Internet-Draft aes-gcm-siv April 2016
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
00000000ee961567ee5a686a3ac66ef4
--------------------- TWO_KEYS (AAD = 1, MSG = 32)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 32
MSG_bit_len = 256
padded_AAD_byte_len = 16
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
03000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
LENBLK = 08000000000000000001000000000000
Gueron, et al. Expires October 16, 2016 [Page 80]
Internet-Draft aes-gcm-siv April 2016
Computing POLYVAL on a
buffer of 3 blocks + LENBLK.
POLYVAL = 1c00000000000000460200203e78ef5b
POLYVAL_xor_NONCE = 1f00000000000000460200203e78ef5b
with MSBit cleared = 1f00000000000000460200203e78ef5b
TAG = c5558db375fc7fb253b477d990435e79
AAD = 01
CT = b1403a920a945105017054ccd7754e54
7f471b9e42bd847f9ff2a6d5e1f72b92
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
0000000075fc7fb253b477d990435ef9
0100000075fc7fb253b477d990435ef9
--------------------- TWO_KEYS (AAD = 1, MSG = 48)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 48
MSG_bit_len = 384
padded_AAD_byte_len = 16
padded_MSG_byte_len = 48
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 3
Gueron, et al. Expires October 16, 2016 [Page 81]
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BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = 08000000000000008001000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 1d000000000000006503c04c63ad386b
POLYVAL_xor_NONCE = 1e000000000000006503c04c63ad386b
with MSBit cleared = 1e000000000000006503c04c63ad386b
TAG = 54538b4b90c4877f29632ec9441d9809
AAD = 01
CT = 687c9c5846e8fde28bc1bde37dd15b80
7ab731537d765e93f0d74bcac390ffbd
b71ddb1af7505791ca74e87c697120b8
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
Gueron, et al. Expires October 16, 2016 [Page 82]
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47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
0000000090c4877f29632ec9441d9889
0100000090c4877f29632ec9441d9889
0200000090c4877f29632ec9441d9889
--------------------- TWO_KEYS (AAD = 1, MSG = 64)---------
AAD_byte_len = 1
AAD_bit_len = 8
MSG_byte_len = 64
MSG_bit_len = 512
padded_AAD_byte_len = 16
padded_MSG_byte_len = 64
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 4
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01
MSG = 02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
05000000000000000000000000000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
05000000000000000000000000000000
LENBLK = 08000000000000000002000000000000
Computing POLYVAL on a
buffer of 5 blocks + LENBLK.
POLYVAL = 1b000000000000008c841a01712a376e
POLYVAL_xor_NONCE = 18000000000000008c841a01712a376e
with MSBit cleared = 18000000000000008c841a01712a376e
TAG = 49650717f842d3d193e3cc498e80f2c7
AAD = 01
CT = c17abb9e321814304f3844af4c90cb8e
Gueron, et al. Expires October 16, 2016 [Page 83]
Internet-Draft aes-gcm-siv April 2016
a89be09bd7a43a05021266c59a31609a
3a2e7edf107c4c83d8370b36e52caca9
de04c10dfd7eac3008852914cd9e900d
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
00000000f842d3d193e3cc498e80f2c7
01000000f842d3d193e3cc498e80f2c7
02000000f842d3d193e3cc498e80f2c7
03000000f842d3d193e3cc498e80f2c7
--------------------- TWO_KEYS (AAD = 12, MSG = 4)---------
AAD_byte_len = 12
AAD_bit_len = 96
MSG_byte_len = 4
MSG_bit_len = 32
padded_AAD_byte_len = 16
padded_MSG_byte_len = 16
L1 blocks AAD(padded) = 1
L2 blocks MSG(padded) = 1
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
Gueron, et al. Expires October 16, 2016 [Page 84]
Internet-Draft aes-gcm-siv April 2016
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 010000000000000000000000
MSG = 02000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
LENBLK = 60000000000000002000000000000000
Computing POLYVAL on a
buffer of 2 blocks + LENBLK.
POLYVAL = d8000000000000c048000000f050f665
POLYVAL_xor_NONCE = db000000000000c048000000f050f665
with MSBit cleared = db000000000000c048000000f050f665
TAG = 0ee2162b829d1b8087a61dec79c2b4dd
AAD = 010000000000000000000000
CT = 7f25e1eb
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
00000000829d1b8087a61dec79c2b4dd
--------------------- TWO_KEYS (AAD = 18, MSG = 20)---------
Gueron, et al. Expires October 16, 2016 [Page 85]
Internet-Draft aes-gcm-siv April 2016
AAD_byte_len = 18
AAD_bit_len = 144
MSG_byte_len = 20
MSG_bit_len = 160
padded_AAD_byte_len = 32
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 2
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01000000000000000000000000000000
0200
MSG = 03000000000000000000000000000000
04000000
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = 9000000000000000a000000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 08010000000000c06b01c04c63ad9807
POLYVAL_xor_NONCE = 0b010000000000c06b01c04c63ad9807
with MSBit cleared = 0b010000000000c06b01c04c63ad9807
TAG = 07e3ed3f0c192bb05b8de76bba7901aa
AAD = 01000000000000000000000000000000
0200
CT = 4f39b03d1cf9f45d74e756ff1a382004
54b94c28
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
Gueron, et al. Expires October 16, 2016 [Page 86]
Internet-Draft aes-gcm-siv April 2016
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
000000000c192bb05b8de76bba7901aa
010000000c192bb05b8de76bba7901aa
--------------------- TWO_KEYS (AAD = 20, MSG = 18)---------
AAD_byte_len = 20
AAD_bit_len = 160
MSG_byte_len = 18
MSG_bit_len = 144
padded_AAD_byte_len = 32
padded_MSG_byte_len = 32
L1 blocks AAD(padded) = 2
L2 blocks MSG(padded) = 2
BYTES ORDER
LSB--------------------------MSB
00010203040506070809101112131415
--------------------------------
K1 = H = 03000000000000000000000000000000
K2 = K = 01000000000000000000000000000000
00000000000000000000000000000000
NONCE = 03000000000000000000000000000000
AAD = 01000000000000000000000000000000
02000000
MSG = 03000000000000000000000000000000
0400
PADDED_AAD_and_MSG = 01000000000000000000000000000000
02000000000000000000000000000000
03000000000000000000000000000000
04000000000000000000000000000000
LENBLK = a0000000000000009000000000000000
Computing POLYVAL on a
buffer of 4 blocks + LENBLK.
POLYVAL = 64010000000000600701c04c63add8de
Gueron, et al. Expires October 16, 2016 [Page 87]
Internet-Draft aes-gcm-siv April 2016
POLYVAL_xor_NONCE = 67010000000000600701c04c63add8de
with MSBit cleared = 67010000000000600701c04c63add85e
TAG = 33f0e38bd6fb197ed4f7eaaea861d60b
AAD = 01000000000000000000000000000000
02000000
CT = 625534f47020a12f11754fbc86ed46cf
41d0
Encryption_Key = d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
***************************
APPENDIX
***************************
KEY_SCHEDULE (Encryption_Key) d77cdb05a40231d52ec7ef3b115a4259
c88735cffb99fd5cd4c805dcf487f5ae
c19a3fba65980e6f4b5fe1545a05a30d
76ec3f188d75c24459bdc798ad3a3236
43b93a2f262134406d7ed514377b7619
eccd07cc61b8c58838050210953f3026
32bdcd05149cf94579e22c514e995a48
c323b99ea29b7c169a9e7e060fa14e20
08927a731c0e833665ecaf672b75f52f
32be5f8b9025239d0abb5d9b051a13bb
baef9018a6e1132ec30dbc49e8784966
a90264b839274725339c1abe36860905
deeefb1d780fe833bb02547a537a1d1c
44d8c0247dff87014e639dbf78e594ba
47cc0fa13fc3e79284c1b3e8d7bbaef4
CTRBLKS (with MSbit set to 1)
00000000d6fb197ed4f7eaaea861d68b
01000000d6fb197ed4f7eaaea861d68b
Authors' Addresses
Shay Gueron
University of Haifa and Intel Corporation
Abba Khoushy Ave 199
Haifa 3498838
Israel
Email: shay@math.haifa.ac.il
Gueron, et al. Expires October 16, 2016 [Page 88]
Internet-Draft aes-gcm-siv April 2016
Adam Langley
Google
345 Spear St
San Francisco, CA 94105
US
Email: agl@google.com
Yehuda Lindell
Bar Ilan University
Bar Ilan University
Ramat Gan 5290002
Israel
Email: Yehuda.Lindell@biu.ac.il
Gueron, et al. Expires October 16, 2016 [Page 89]
