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// Copyright 2012 The Closure Library Authors. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS-IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
/**
* @fileoverview Implementation of AES in JavaScript.
* @see http://en.wikipedia.org/wiki/Advanced_Encryption_Standard
*
* @author nnaze@google.com (Nathan Naze) - port to Closure
*/
goog.provide('goog.crypt.Aes');
goog.require('goog.asserts');
goog.require('goog.crypt.BlockCipher');
/**
* Implementation of AES in JavaScript.
* See http://en.wikipedia.org/wiki/Advanced_Encryption_Standard
*
* WARNING: This is ECB mode only. If you are encrypting something
* longer than 16 bytes, or encrypting more than one value with the same key
* (so basically, always) you need to use this with a block cipher mode of
* operation. See goog.crypt.Cbc.
*
* See http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation for more
* information.
*
* @constructor
* @implements {goog.crypt.BlockCipher}
* @param {!Array<number>} key The key as an array of integers in {0, 255}.
* The key must have lengths of 16, 24, or 32 integers for 128-,
* 192-, or 256-bit encryption, respectively.
* @final
* @struct
*/
goog.crypt.Aes = function(key) {
goog.crypt.Aes.assertKeyArray_(key);
/**
* The AES key.
* @type {!Array<number>}
* @private
*/
this.key_ = key;
/**
* Key length, in words.
* @type {number}
* @private
*/
this.keyLength_ = this.key_.length / 4;
/**
* Number of rounds. Based on key length per AES spec.
* @type {number}
* @private
*/
this.numberOfRounds_ = this.keyLength_ + 6;
/**
* 4x4 byte array containing the current state.
* @type {!Array<!Array<number>>}
* @private
*/
this.state_ = [[], [], [], []];
/**
* Scratch temporary array for calculation.
* @type {!Array<!Array<number>>}
* @private
*/
this.temp_ = [[], [], [], []];
this.keyExpansion_();
};
/**
* @define {boolean} Whether to call test method stubs. This can be enabled
* for unit testing.
*/
goog.define('goog.crypt.Aes.ENABLE_TEST_MODE', false);
/**
* @override
*/
goog.crypt.Aes.prototype.encrypt = function(input) {
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testKeySchedule_(0, this.keySchedule_, 0);
}
this.copyInput_(input);
this.addRoundKey_(0);
for (var round = 1; round < this.numberOfRounds_; ++round) {
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testKeySchedule_(round, this.keySchedule_, round);
this.testStartRound_(round, this.state_);
}
this.subBytes_(goog.crypt.Aes.SBOX_);
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testAfterSubBytes_(round, this.state_);
}
this.shiftRows_();
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testAfterShiftRows_(round, this.state_);
}
this.mixColumns_();
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testAfterMixColumns_(round, this.state_);
}
this.addRoundKey_(round);
}
this.subBytes_(goog.crypt.Aes.SBOX_);
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testAfterSubBytes_(round, this.state_);
}
this.shiftRows_();
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testAfterShiftRows_(round, this.state_);
}
this.addRoundKey_(this.numberOfRounds_);
return this.generateOutput_();
};
/**
* @override
*/
goog.crypt.Aes.prototype.decrypt = function(input) {
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testKeySchedule_(0, this.keySchedule_, this.numberOfRounds_);
}
this.copyInput_(input);
this.addRoundKey_(this.numberOfRounds_);
for (var round = 1; round < this.numberOfRounds_; ++round) {
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testKeySchedule_(round, this.keySchedule_,
this.numberOfRounds_ - round);
this.testStartRound_(round, this.state_);
}
this.invShiftRows_();
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testAfterShiftRows_(round, this.state_);
}
this.subBytes_(goog.crypt.Aes.INV_SBOX_);
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testAfterSubBytes_(round, this.state_);
}
this.addRoundKey_(this.numberOfRounds_ - round);
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testAfterAddRoundKey_(round, this.state_);
}
this.invMixColumns_();
}
this.invShiftRows_();
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testAfterShiftRows_(round, this.state_);
}
this.subBytes_(goog.crypt.Aes.INV_SBOX_);
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testAfterSubBytes_(this.numberOfRounds_, this.state_);
}
if (goog.crypt.Aes.ENABLE_TEST_MODE) {
this.testKeySchedule_(this.numberOfRounds_, this.keySchedule_, 0);
}
this.addRoundKey_(0);
return this.generateOutput_();
};
/**
* Block size, in words. Fixed at 4 per AES spec.
* @type {number}
* @private
*/
goog.crypt.Aes.BLOCK_SIZE_ = 4;
/**
* Asserts that the key's array of integers is in the correct format.
* @param {!Array<number>} arr AES key as array of integers.
* @private
*/
goog.crypt.Aes.assertKeyArray_ = function(arr) {
if (goog.asserts.ENABLE_ASSERTS) {
goog.asserts.assert(arr.length == 16 || arr.length == 24 ||
arr.length == 32,
'Key must have length 16, 24, or 32.');
for (var i = 0; i < arr.length; i++) {
goog.asserts.assertNumber(arr[i]);
goog.asserts.assert(arr[i] >= 0 && arr[i] <= 255);
}
}
};
/**
* Tests can populate this with a callback, and that callback will get called
* at the start of each round *in both functions encrypt() and decrypt()*.
* @param {number} roundNum Round number.
* @param {!Array<Array<number>>} Current state.
* @private
*/
goog.crypt.Aes.prototype.testStartRound_ = goog.nullFunction;
/**
* Tests can populate this with a callback, and that callback will get called
* each round right after the SubBytes step gets executed *in both functions
* encrypt() and decrypt()*.
* @param {number} roundNum Round number.
* @param {!Array<Array<number>>} Current state.
* @private
*/
goog.crypt.Aes.prototype.testAfterSubBytes_ = goog.nullFunction;
/**
* Tests can populate this with a callback, and that callback will get called
* each round right after the ShiftRows step gets executed *in both functions
* encrypt() and decrypt()*.
* @param {number} roundNum Round number.
* @param {!Array<Array<number>>} Current state.
* @private
*/
goog.crypt.Aes.prototype.testAfterShiftRows_ = goog.nullFunction;
/**
* Tests can populate this with a callback, and that callback will get called
* each round right after the MixColumns step gets executed *but only in the
* decrypt() function*.
* @param {number} roundNum Round number.
* @param {!Array<Array<number>>} Current state.
* @private
*/
goog.crypt.Aes.prototype.testAfterMixColumns_ = goog.nullFunction;
/**
* Tests can populate this with a callback, and that callback will get called
* each round right after the AddRoundKey step gets executed encrypt().
* @param {number} roundNum Round number.
* @param {!Array<Array<number>>} Current state.
* @private
*/
goog.crypt.Aes.prototype.testAfterAddRoundKey_ = goog.nullFunction;
/**
* Tests can populate this with a callback, and that callback will get called
* before each round on the round key. *Gets called in both the encrypt() and
* decrypt() functions.*
* @param {number} roundNum Round number.
* @param {!Array<number>} Computed key schedule.
* @param {number} index The index into the key schedule to test. This is not
* necessarily roundNum because the key schedule is used in reverse
* in the case of decryption.
* @private
*/
goog.crypt.Aes.prototype.testKeySchedule_ = goog.nullFunction;
/**
* Helper to copy input into the AES state matrix.
* @param {!Array<number>} input Byte array to copy into the state matrix.
* @private
*/
goog.crypt.Aes.prototype.copyInput_ = function(input) {
var v, p;
goog.asserts.assert(input.length == goog.crypt.Aes.BLOCK_SIZE_ * 4,
'Expecting input of 4 times block size.');
for (var r = 0; r < goog.crypt.Aes.BLOCK_SIZE_; r++) {
for (var c = 0; c < 4; c++) {
p = c * 4 + r;
v = input[p];
goog.asserts.assert(
v <= 255 && v >= 0,
'Invalid input. Value %s at position %s is not a byte.', v, p);
this.state_[r][c] = v;
}
}
};
/**
* Helper to copy the state matrix into an output array.
* @return {!Array<number>} Output byte array.
* @private
*/
goog.crypt.Aes.prototype.generateOutput_ = function() {
var output = [];
for (var r = 0; r < goog.crypt.Aes.BLOCK_SIZE_; r++) {
for (var c = 0; c < 4; c++) {
output[c * 4 + r] = this.state_[r][c];
}
}
return output;
};
/**
* AES's AddRoundKey procedure. Add the current round key to the state.
* @param {number} round The current round.
* @private
*/
goog.crypt.Aes.prototype.addRoundKey_ = function(round) {
for (var r = 0; r < 4; r++) {
for (var c = 0; c < 4; c++) {
this.state_[r][c] ^= this.keySchedule_[round * 4 + c][r];
}
}
};
/**
* AES's SubBytes procedure. Substitute bytes from the precomputed SBox lookup
* into the state.
* @param {!Array<number>} box The SBox or invSBox.
* @private
*/
goog.crypt.Aes.prototype.subBytes_ = function(box) {
for (var r = 0; r < 4; r++) {
for (var c = 0; c < 4; c++) {
this.state_[r][c] = box[this.state_[r][c]];
}
}
};
/**
* AES's ShiftRows procedure. Shift the values in each row to the right. Each
* row is shifted one more slot than the one above it.
* @private
*/
goog.crypt.Aes.prototype.shiftRows_ = function() {
for (var r = 1; r < 4; r++) {
for (var c = 0; c < 4; c++) {
this.temp_[r][c] = this.state_[r][c];
}
}
for (var r = 1; r < 4; r++) {
for (var c = 0; c < 4; c++) {
this.state_[r][c] = this.temp_[r][(c + r) %
goog.crypt.Aes.BLOCK_SIZE_];
}
}
};
/**
* AES's InvShiftRows procedure. Shift the values in each row to the right.
* @private
*/
goog.crypt.Aes.prototype.invShiftRows_ = function() {
for (var r = 1; r < 4; r++) {
for (var c = 0; c < 4; c++) {
this.temp_[r][(c + r) % goog.crypt.Aes.BLOCK_SIZE_] =
this.state_[r][c];
}
}
for (var r = 1; r < 4; r++) {
for (var c = 0; c < 4; c++) {
this.state_[r][c] = this.temp_[r][c];
}
}
};
/**
* AES's MixColumns procedure. Mix the columns of the state using magic.
* @private
*/
goog.crypt.Aes.prototype.mixColumns_ = function() {
var s = this.state_;
var t = this.temp_[0];
for (var c = 0; c < 4; c++) {
t[0] = s[0][c];
t[1] = s[1][c];
t[2] = s[2][c];
t[3] = s[3][c];
s[0][c] = (goog.crypt.Aes.MULT_2_[t[0]] ^
goog.crypt.Aes.MULT_3_[t[1]] ^ t[2] ^ t[3]);
s[1][c] = (t[0] ^ goog.crypt.Aes.MULT_2_[t[1]] ^
goog.crypt.Aes.MULT_3_[t[2]] ^ t[3]);
s[2][c] = (t[0] ^ t[1] ^ goog.crypt.Aes.MULT_2_[t[2]] ^
goog.crypt.Aes.MULT_3_[t[3]]);
s[3][c] = (goog.crypt.Aes.MULT_3_[t[0]] ^ t[1] ^ t[2] ^
goog.crypt.Aes.MULT_2_[t[3]]);
}
};
/**
* AES's InvMixColumns procedure.
* @private
*/
goog.crypt.Aes.prototype.invMixColumns_ = function() {
var s = this.state_;
var t = this.temp_[0];
for (var c = 0; c < 4; c++) {
t[0] = s[0][c];
t[1] = s[1][c];
t[2] = s[2][c];
t[3] = s[3][c];
s[0][c] = (
goog.crypt.Aes.MULT_E_[t[0]] ^ goog.crypt.Aes.MULT_B_[t[1]] ^
goog.crypt.Aes.MULT_D_[t[2]] ^ goog.crypt.Aes.MULT_9_[t[3]]);
s[1][c] = (
goog.crypt.Aes.MULT_9_[t[0]] ^ goog.crypt.Aes.MULT_E_[t[1]] ^
goog.crypt.Aes.MULT_B_[t[2]] ^ goog.crypt.Aes.MULT_D_[t[3]]);
s[2][c] = (
goog.crypt.Aes.MULT_D_[t[0]] ^ goog.crypt.Aes.MULT_9_[t[1]] ^
goog.crypt.Aes.MULT_E_[t[2]] ^ goog.crypt.Aes.MULT_B_[t[3]]);
s[3][c] = (
goog.crypt.Aes.MULT_B_[t[0]] ^ goog.crypt.Aes.MULT_D_[t[1]] ^
goog.crypt.Aes.MULT_9_[t[2]] ^ goog.crypt.Aes.MULT_E_[t[3]]);
}
};
/**
* AES's KeyExpansion procedure. Create the key schedule from the initial key.
* @private
*/
goog.crypt.Aes.prototype.keyExpansion_ = function() {
this.keySchedule_ = new Array(goog.crypt.Aes.BLOCK_SIZE_ * (
this.numberOfRounds_ + 1));
for (var rowNum = 0; rowNum < this.keyLength_; rowNum++) {
this.keySchedule_[rowNum] = [
this.key_[4 * rowNum],
this.key_[4 * rowNum + 1],
this.key_[4 * rowNum + 2],
this.key_[4 * rowNum + 3]
];
}
var temp = new Array(4);
for (var rowNum = this.keyLength_;
rowNum < (goog.crypt.Aes.BLOCK_SIZE_ * (this.numberOfRounds_ + 1));
rowNum++) {
temp[0] = this.keySchedule_[rowNum - 1][0];
temp[1] = this.keySchedule_[rowNum - 1][1];
temp[2] = this.keySchedule_[rowNum - 1][2];
temp[3] = this.keySchedule_[rowNum - 1][3];
if (rowNum % this.keyLength_ == 0) {
this.rotWord_(temp);
this.subWord_(temp);
temp[0] ^= goog.crypt.Aes.RCON_[rowNum / this.keyLength_][0];
temp[1] ^= goog.crypt.Aes.RCON_[rowNum / this.keyLength_][1];
temp[2] ^= goog.crypt.Aes.RCON_[rowNum / this.keyLength_][2];
temp[3] ^= goog.crypt.Aes.RCON_[rowNum / this.keyLength_][3];
} else if (this.keyLength_ > 6 && rowNum % this.keyLength_ == 4) {
this.subWord_(temp);
}
this.keySchedule_[rowNum] = new Array(4);
this.keySchedule_[rowNum][0] =
this.keySchedule_[rowNum - this.keyLength_][0] ^ temp[0];
this.keySchedule_[rowNum][1] =
this.keySchedule_[rowNum - this.keyLength_][1] ^ temp[1];
this.keySchedule_[rowNum][2] =
this.keySchedule_[rowNum - this.keyLength_][2] ^ temp[2];
this.keySchedule_[rowNum][3] =
this.keySchedule_[rowNum - this.keyLength_][3] ^ temp[3];
}
};
/**
* AES's SubWord procedure.
* @param {!Array<number>} w Bytes to find the SBox substitution for.
* @return {!Array<number>} The substituted bytes.
* @private
*/
goog.crypt.Aes.prototype.subWord_ = function(w) {
w[0] = goog.crypt.Aes.SBOX_[w[0]];
w[1] = goog.crypt.Aes.SBOX_[w[1]];
w[2] = goog.crypt.Aes.SBOX_[w[2]];
w[3] = goog.crypt.Aes.SBOX_[w[3]];
return w;
};
/**
* AES's RotWord procedure.
* @param {!Array<number>} w Array of bytes to rotate.
* @return {!Array<number>} The rotated bytes.
* @private
*/
goog.crypt.Aes.prototype.rotWord_ = function(w) {
var temp = w[0];
w[0] = w[1];
w[1] = w[2];
w[2] = w[3];
w[3] = temp;
return w;
};
/**
* The key schedule.
* @type {!Array<number>}
* @private
*/
goog.crypt.Aes.prototype.keySchedule_;
/**
* Precomputed SBox lookup.
* @type {!Array<number>}
* @private
*/
goog.crypt.Aes.SBOX_ = [
0x63, 0x7c, 0x77, 0x7b, 0xf2, 0x6b, 0x6f, 0xc5, 0x30, 0x01, 0x67, 0x2b, 0xfe,
0xd7, 0xab, 0x76,
0xca, 0x82, 0xc9, 0x7d, 0xfa, 0x59, 0x47, 0xf0, 0xad, 0xd4, 0xa2, 0xaf, 0x9c,
0xa4, 0x72, 0xc0,
0xb7, 0xfd, 0x93, 0x26, 0x36, 0x3f, 0xf7, 0xcc, 0x34, 0xa5, 0xe5, 0xf1, 0x71,
0xd8, 0x31, 0x15,
0x04, 0xc7, 0x23, 0xc3, 0x18, 0x96, 0x05, 0x9a, 0x07, 0x12, 0x80, 0xe2, 0xeb,
0x27, 0xb2, 0x75,
0x09, 0x83, 0x2c, 0x1a, 0x1b, 0x6e, 0x5a, 0xa0, 0x52, 0x3b, 0xd6, 0xb3, 0x29,
0xe3, 0x2f, 0x84,
0x53, 0xd1, 0x00, 0xed, 0x20, 0xfc, 0xb1, 0x5b, 0x6a, 0xcb, 0xbe, 0x39, 0x4a,
0x4c, 0x58, 0xcf,
0xd0, 0xef, 0xaa, 0xfb, 0x43, 0x4d, 0x33, 0x85, 0x45, 0xf9, 0x02, 0x7f, 0x50,
0x3c, 0x9f, 0xa8,
0x51, 0xa3, 0x40, 0x8f, 0x92, 0x9d, 0x38, 0xf5, 0xbc, 0xb6, 0xda, 0x21, 0x10,
0xff, 0xf3, 0xd2,
0xcd, 0x0c, 0x13, 0xec, 0x5f, 0x97, 0x44, 0x17, 0xc4, 0xa7, 0x7e, 0x3d, 0x64,
0x5d, 0x19, 0x73,
0x60, 0x81, 0x4f, 0xdc, 0x22, 0x2a, 0x90, 0x88, 0x46, 0xee, 0xb8, 0x14, 0xde,
0x5e, 0x0b, 0xdb,
0xe0, 0x32, 0x3a, 0x0a, 0x49, 0x06, 0x24, 0x5c, 0xc2, 0xd3, 0xac, 0x62, 0x91,
0x95, 0xe4, 0x79,
0xe7, 0xc8, 0x37, 0x6d, 0x8d, 0xd5, 0x4e, 0xa9, 0x6c, 0x56, 0xf4, 0xea, 0x65,
0x7a, 0xae, 0x08,
0xba, 0x78, 0x25, 0x2e, 0x1c, 0xa6, 0xb4, 0xc6, 0xe8, 0xdd, 0x74, 0x1f, 0x4b,
0xbd, 0x8b, 0x8a,
0x70, 0x3e, 0xb5, 0x66, 0x48, 0x03, 0xf6, 0x0e, 0x61, 0x35, 0x57, 0xb9, 0x86,
0xc1, 0x1d, 0x9e,
0xe1, 0xf8, 0x98, 0x11, 0x69, 0xd9, 0x8e, 0x94, 0x9b, 0x1e, 0x87, 0xe9, 0xce,
0x55, 0x28, 0xdf,
0x8c, 0xa1, 0x89, 0x0d, 0xbf, 0xe6, 0x42, 0x68, 0x41, 0x99, 0x2d, 0x0f, 0xb0,
0x54, 0xbb, 0x16
];
/**
* Precomputed InvSBox lookup.
* @type {!Array<number>}
* @private
*/
goog.crypt.Aes.INV_SBOX_ = [
0x52, 0x09, 0x6a, 0xd5, 0x30, 0x36, 0xa5, 0x38, 0xbf, 0x40, 0xa3, 0x9e, 0x81,
0xf3, 0xd7, 0xfb,
0x7c, 0xe3, 0x39, 0x82, 0x9b, 0x2f, 0xff, 0x87, 0x34, 0x8e, 0x43, 0x44, 0xc4,
0xde, 0xe9, 0xcb,
0x54, 0x7b, 0x94, 0x32, 0xa6, 0xc2, 0x23, 0x3d, 0xee, 0x4c, 0x95, 0x0b, 0x42,
0xfa, 0xc3, 0x4e,
0x08, 0x2e, 0xa1, 0x66, 0x28, 0xd9, 0x24, 0xb2, 0x76, 0x5b, 0xa2, 0x49, 0x6d,
0x8b, 0xd1, 0x25,
0x72, 0xf8, 0xf6, 0x64, 0x86, 0x68, 0x98, 0x16, 0xd4, 0xa4, 0x5c, 0xcc, 0x5d,
0x65, 0xb6, 0x92,
0x6c, 0x70, 0x48, 0x50, 0xfd, 0xed, 0xb9, 0xda, 0x5e, 0x15, 0x46, 0x57, 0xa7,
0x8d, 0x9d, 0x84,
0x90, 0xd8, 0xab, 0x00, 0x8c, 0xbc, 0xd3, 0x0a, 0xf7, 0xe4, 0x58, 0x05, 0xb8,
0xb3, 0x45, 0x06,
0xd0, 0x2c, 0x1e, 0x8f, 0xca, 0x3f, 0x0f, 0x02, 0xc1, 0xaf, 0xbd, 0x03, 0x01,
0x13, 0x8a, 0x6b,
0x3a, 0x91, 0x11, 0x41, 0x4f, 0x67, 0xdc, 0xea, 0x97, 0xf2, 0xcf, 0xce, 0xf0,
0xb4, 0xe6, 0x73,
0x96, 0xac, 0x74, 0x22, 0xe7, 0xad, 0x35, 0x85, 0xe2, 0xf9, 0x37, 0xe8, 0x1c,
0x75, 0xdf, 0x6e,
0x47, 0xf1, 0x1a, 0x71, 0x1d, 0x29, 0xc5, 0x89, 0x6f, 0xb7, 0x62, 0x0e, 0xaa,
0x18, 0xbe, 0x1b,
0xfc, 0x56, 0x3e, 0x4b, 0xc6, 0xd2, 0x79, 0x20, 0x9a, 0xdb, 0xc0, 0xfe, 0x78,
0xcd, 0x5a, 0xf4,
0x1f, 0xdd, 0xa8, 0x33, 0x88, 0x07, 0xc7, 0x31, 0xb1, 0x12, 0x10, 0x59, 0x27,
0x80, 0xec, 0x5f,
0x60, 0x51, 0x7f, 0xa9, 0x19, 0xb5, 0x4a, 0x0d, 0x2d, 0xe5, 0x7a, 0x9f, 0x93,
0xc9, 0x9c, 0xef,
0xa0, 0xe0, 0x3b, 0x4d, 0xae, 0x2a, 0xf5, 0xb0, 0xc8, 0xeb, 0xbb, 0x3c, 0x83,
0x53, 0x99, 0x61,
0x17, 0x2b, 0x04, 0x7e, 0xba, 0x77, 0xd6, 0x26, 0xe1, 0x69, 0x14, 0x63, 0x55,
0x21, 0x0c, 0x7d
];
/**
* Precomputed RCon lookup.
* @type {!Array<number>}
* @private
*/
goog.crypt.Aes.RCON_ = [
[0x00, 0x00, 0x00, 0x00],
[0x01, 0x00, 0x00, 0x00],
[0x02, 0x00, 0x00, 0x00],
[0x04, 0x00, 0x00, 0x00],
[0x08, 0x00, 0x00, 0x00],
[0x10, 0x00, 0x00, 0x00],
[0x20, 0x00, 0x00, 0x00],
[0x40, 0x00, 0x00, 0x00],
[0x80, 0x00, 0x00, 0x00],
[0x1b, 0x00, 0x00, 0x00],
[0x36, 0x00, 0x00, 0x00]
];
/**
* Precomputed lookup of multiplication by 2 in GF(2^8)
* @type {!Array<number>}
* @private
*/
goog.crypt.Aes.MULT_2_ = [
0x00, 0x02, 0x04, 0x06, 0x08, 0x0A, 0x0C, 0x0E, 0x10, 0x12, 0x14, 0x16,
0x18, 0x1A, 0x1C, 0x1E,
0x20, 0x22, 0x24, 0x26, 0x28, 0x2A, 0x2C, 0x2E, 0x30, 0x32, 0x34, 0x36,
0x38, 0x3A, 0x3C, 0x3E,
0x40, 0x42, 0x44, 0x46, 0x48, 0x4A, 0x4C, 0x4E, 0x50, 0x52, 0x54, 0x56,
0x58, 0x5A, 0x5C, 0x5E,
0x60, 0x62, 0x64, 0x66, 0x68, 0x6A, 0x6C, 0x6E, 0x70, 0x72, 0x74, 0x76,
0x78, 0x7A, 0x7C, 0x7E,
0x80, 0x82, 0x84, 0x86, 0x88, 0x8A, 0x8C, 0x8E, 0x90, 0x92, 0x94, 0x96,
0x98, 0x9A, 0x9C, 0x9E,
0xA0, 0xA2, 0xA4, 0xA6, 0xA8, 0xAA, 0xAC, 0xAE, 0xB0, 0xB2, 0xB4, 0xB6,
0xB8, 0xBA, 0xBC, 0xBE,
0xC0, 0xC2, 0xC4, 0xC6, 0xC8, 0xCA, 0xCC, 0xCE, 0xD0, 0xD2, 0xD4, 0xD6,
0xD8, 0xDA, 0xDC, 0xDE,
0xE0, 0xE2, 0xE4, 0xE6, 0xE8, 0xEA, 0xEC, 0xEE, 0xF0, 0xF2, 0xF4, 0xF6,
0xF8, 0xFA, 0xFC, 0xFE,
0x1B, 0x19, 0x1F, 0x1D, 0x13, 0x11, 0x17, 0x15, 0x0B, 0x09, 0x0F, 0x0D,
0x03, 0x01, 0x07, 0x05,
0x3B, 0x39, 0x3F, 0x3D, 0x33, 0x31, 0x37, 0x35, 0x2B, 0x29, 0x2F, 0x2D,
0x23, 0x21, 0x27, 0x25,
0x5B, 0x59, 0x5F, 0x5D, 0x53, 0x51, 0x57, 0x55, 0x4B, 0x49, 0x4F, 0x4D,
0x43, 0x41, 0x47, 0x45,
0x7B, 0x79, 0x7F, 0x7D, 0x73, 0x71, 0x77, 0x75, 0x6B, 0x69, 0x6F, 0x6D,
0x63, 0x61, 0x67, 0x65,
0x9B, 0x99, 0x9F, 0x9D, 0x93, 0x91, 0x97, 0x95, 0x8B, 0x89, 0x8F, 0x8D,
0x83, 0x81, 0x87, 0x85,
0xBB, 0xB9, 0xBF, 0xBD, 0xB3, 0xB1, 0xB7, 0xB5, 0xAB, 0xA9, 0xAF, 0xAD,
0xA3, 0xA1, 0xA7, 0xA5,
0xDB, 0xD9, 0xDF, 0xDD, 0xD3, 0xD1, 0xD7, 0xD5, 0xCB, 0xC9, 0xCF, 0xCD,
0xC3, 0xC1, 0xC7, 0xC5,
0xFB, 0xF9, 0xFF, 0xFD, 0xF3, 0xF1, 0xF7, 0xF5, 0xEB, 0xE9, 0xEF, 0xED,
0xE3, 0xE1, 0xE7, 0xE5
];
/**
* Precomputed lookup of multiplication by 3 in GF(2^8)
* @type {!Array<number>}
* @private
*/
goog.crypt.Aes.MULT_3_ = [
0x00, 0x03, 0x06, 0x05, 0x0C, 0x0F, 0x0A, 0x09, 0x18, 0x1B, 0x1E, 0x1D,
0x14, 0x17, 0x12, 0x11,
0x30, 0x33, 0x36, 0x35, 0x3C, 0x3F, 0x3A, 0x39, 0x28, 0x2B, 0x2E, 0x2D,
0x24, 0x27, 0x22, 0x21,
0x60, 0x63, 0x66, 0x65, 0x6C, 0x6F, 0x6A, 0x69, 0x78, 0x7B, 0x7E, 0x7D,
0x74, 0x77, 0x72, 0x71,
0x50, 0x53, 0x56, 0x55, 0x5C, 0x5F, 0x5A, 0x59, 0x48, 0x4B, 0x4E, 0x4D,
0x44, 0x47, 0x42, 0x41,
0xC0, 0xC3, 0xC6, 0xC5, 0xCC, 0xCF, 0xCA, 0xC9, 0xD8, 0xDB, 0xDE, 0xDD,
0xD4, 0xD7, 0xD2, 0xD1,
0xF0, 0xF3, 0xF6, 0xF5, 0xFC, 0xFF, 0xFA, 0xF9, 0xE8, 0xEB, 0xEE, 0xED,
0xE4, 0xE7, 0xE2, 0xE1,
0xA0, 0xA3, 0xA6, 0xA5, 0xAC, 0xAF, 0xAA, 0xA9, 0xB8, 0xBB, 0xBE, 0xBD,
0xB4, 0xB7, 0xB2, 0xB1,
0x90, 0x93, 0x96, 0x95, 0x9C, 0x9F, 0x9A, 0x99, 0x88, 0x8B, 0x8E, 0x8D,
0x84, 0x87, 0x82, 0x81,
0x9B, 0x98, 0x9D, 0x9E, 0x97, 0x94, 0x91, 0x92, 0x83, 0x80, 0x85, 0x86,
0x8F, 0x8C, 0x89, 0x8A,
0xAB, 0xA8, 0xAD, 0xAE, 0xA7, 0xA4, 0xA1, 0xA2, 0xB3, 0xB0, 0xB5, 0xB6,
0xBF, 0xBC, 0xB9, 0xBA,
0xFB, 0xF8, 0xFD, 0xFE, 0xF7, 0xF4, 0xF1, 0xF2, 0xE3, 0xE0, 0xE5, 0xE6,
0xEF, 0xEC, 0xE9, 0xEA,
0xCB, 0xC8, 0xCD, 0xCE, 0xC7, 0xC4, 0xC1, 0xC2, 0xD3, 0xD0, 0xD5, 0xD6,
0xDF, 0xDC, 0xD9, 0xDA,
0x5B, 0x58, 0x5D, 0x5E, 0x57, 0x54, 0x51, 0x52, 0x43, 0x40, 0x45, 0x46,
0x4F, 0x4C, 0x49, 0x4A,
0x6B, 0x68, 0x6D, 0x6E, 0x67, 0x64, 0x61, 0x62, 0x73, 0x70, 0x75, 0x76,
0x7F, 0x7C, 0x79, 0x7A,
0x3B, 0x38, 0x3D, 0x3E, 0x37, 0x34, 0x31, 0x32, 0x23, 0x20, 0x25, 0x26,
0x2F, 0x2C, 0x29, 0x2A,
0x0B, 0x08, 0x0D, 0x0E, 0x07, 0x04, 0x01, 0x02, 0x13, 0x10, 0x15, 0x16,
0x1F, 0x1C, 0x19, 0x1A
];
/**
* Precomputed lookup of multiplication by 9 in GF(2^8)
* @type {!Array<number>}
* @private
*/
goog.crypt.Aes.MULT_9_ = [
0x00, 0x09, 0x12, 0x1B, 0x24, 0x2D, 0x36, 0x3F, 0x48, 0x41, 0x5A, 0x53,
0x6C, 0x65, 0x7E, 0x77,
0x90, 0x99, 0x82, 0x8B, 0xB4, 0xBD, 0xA6, 0xAF, 0xD8, 0xD1, 0xCA, 0xC3,
0xFC, 0xF5, 0xEE, 0xE7,
0x3B, 0x32, 0x29, 0x20, 0x1F, 0x16, 0x0D, 0x04, 0x73, 0x7A, 0x61, 0x68,
0x57, 0x5E, 0x45, 0x4C,
0xAB, 0xA2, 0xB9, 0xB0, 0x8F, 0x86, 0x9D, 0x94, 0xE3, 0xEA, 0xF1, 0xF8,
0xC7, 0xCE, 0xD5, 0xDC,
0x76, 0x7F, 0x64, 0x6D, 0x52, 0x5B, 0x40, 0x49, 0x3E, 0x37, 0x2C, 0x25,
0x1A, 0x13, 0x08, 0x01,
0xE6, 0xEF, 0xF4, 0xFD, 0xC2, 0xCB, 0xD0, 0xD9, 0xAE, 0xA7, 0xBC, 0xB5,
0x8A, 0x83, 0x98, 0x91,
0x4D, 0x44, 0x5F, 0x56, 0x69, 0x60, 0x7B, 0x72, 0x05, 0x0C, 0x17, 0x1E,
0x21, 0x28, 0x33, 0x3A,
0xDD, 0xD4, 0xCF, 0xC6, 0xF9, 0xF0, 0xEB, 0xE2, 0x95, 0x9C, 0x87, 0x8E,
0xB1, 0xB8, 0xA3, 0xAA,
0xEC, 0xE5, 0xFE, 0xF7, 0xC8, 0xC1, 0xDA, 0xD3, 0xA4, 0xAD, 0xB6, 0xBF,
0x80, 0x89, 0x92, 0x9B,
0x7C, 0x75, 0x6E, 0x67, 0x58, 0x51, 0x4A, 0x43, 0x34, 0x3D, 0x26, 0x2F,
0x10, 0x19, 0x02, 0x0B,
0xD7, 0xDE, 0xC5, 0xCC, 0xF3, 0xFA, 0xE1, 0xE8, 0x9F, 0x96, 0x8D, 0x84,
0xBB, 0xB2, 0xA9, 0xA0,
0x47, 0x4E, 0x55, 0x5C, 0x63, 0x6A, 0x71, 0x78, 0x0F, 0x06, 0x1D, 0x14,
0x2B, 0x22, 0x39, 0x30,
0x9A, 0x93, 0x88, 0x81, 0xBE, 0xB7, 0xAC, 0xA5, 0xD2, 0xDB, 0xC0, 0xC9,
0xF6, 0xFF, 0xE4, 0xED,
0x0A, 0x03, 0x18, 0x11, 0x2E, 0x27, 0x3C, 0x35, 0x42, 0x4B, 0x50, 0x59,
0x66, 0x6F, 0x74, 0x7D,
0xA1, 0xA8, 0xB3, 0xBA, 0x85, 0x8C, 0x97, 0x9E, 0xE9, 0xE0, 0xFB, 0xF2,
0xCD, 0xC4, 0xDF, 0xD6,
0x31, 0x38, 0x23, 0x2A, 0x15, 0x1C, 0x07, 0x0E, 0x79, 0x70, 0x6B, 0x62,
0x5D, 0x54, 0x4F, 0x46
];
/**
* Precomputed lookup of multiplication by 11 in GF(2^8)
* @type {!Array<number>}
* @private
*/
goog.crypt.Aes.MULT_B_ = [
0x00, 0x0B, 0x16, 0x1D, 0x2C, 0x27, 0x3A, 0x31, 0x58, 0x53, 0x4E, 0x45,
0x74, 0x7F, 0x62, 0x69,
0xB0, 0xBB, 0xA6, 0xAD, 0x9C, 0x97, 0x8A, 0x81, 0xE8, 0xE3, 0xFE, 0xF5,
0xC4, 0xCF, 0xD2, 0xD9,
0x7B, 0x70, 0x6D, 0x66, 0x57, 0x5C, 0x41, 0x4A, 0x23, 0x28, 0x35, 0x3E,
0x0F, 0x04, 0x19, 0x12,
0xCB, 0xC0, 0xDD, 0xD6, 0xE7, 0xEC, 0xF1, 0xFA, 0x93, 0x98, 0x85, 0x8E,
0xBF, 0xB4, 0xA9, 0xA2,
0xF6, 0xFD, 0xE0, 0xEB, 0xDA, 0xD1, 0xCC, 0xC7, 0xAE, 0xA5, 0xB8, 0xB3,
0x82, 0x89, 0x94, 0x9F,
0x46, 0x4D, 0x50, 0x5B, 0x6A, 0x61, 0x7C, 0x77, 0x1E, 0x15, 0x08, 0x03,
0x32, 0x39, 0x24, 0x2F,
0x8D, 0x86, 0x9B, 0x90, 0xA1, 0xAA, 0xB7, 0xBC, 0xD5, 0xDE, 0xC3, 0xC8,
0xF9, 0xF2, 0xEF, 0xE4,
0x3D, 0x36, 0x2B, 0x20, 0x11, 0x1A, 0x07, 0x0C, 0x65, 0x6E, 0x73, 0x78,
0x49, 0x42, 0x5F, 0x54,
0xF7, 0xFC, 0xE1, 0xEA, 0xDB, 0xD0, 0xCD, 0xC6, 0xAF, 0xA4, 0xB9, 0xB2,
0x83, 0x88, 0x95, 0x9E,
0x47, 0x4C, 0x51, 0x5A, 0x6B, 0x60, 0x7D, 0x76, 0x1F, 0x14, 0x09, 0x02,
0x33, 0x38, 0x25, 0x2E,
0x8C, 0x87, 0x9A, 0x91, 0xA0, 0xAB, 0xB6, 0xBD, 0xD4, 0xDF, 0xC2, 0xC9,
0xF8, 0xF3, 0xEE, 0xE5,
0x3C, 0x37, 0x2A, 0x21, 0x10, 0x1B, 0x06, 0x0D, 0x64, 0x6F, 0x72, 0x79,
0x48, 0x43, 0x5E, 0x55,
0x01, 0x0A, 0x17, 0x1C, 0x2D, 0x26, 0x3B, 0x30, 0x59, 0x52, 0x4F, 0x44,
0x75, 0x7E, 0x63, 0x68,
0xB1, 0xBA, 0xA7, 0xAC, 0x9D, 0x96, 0x8B, 0x80, 0xE9, 0xE2, 0xFF, 0xF4,
0xC5, 0xCE, 0xD3, 0xD8,
0x7A, 0x71, 0x6C, 0x67, 0x56, 0x5D, 0x40, 0x4B, 0x22, 0x29, 0x34, 0x3F,
0x0E, 0x05, 0x18, 0x13,
0xCA, 0xC1, 0xDC, 0xD7, 0xE6, 0xED, 0xF0, 0xFB, 0x92, 0x99, 0x84, 0x8F,
0xBE, 0xB5, 0xA8, 0xA3
];
/**
* Precomputed lookup of multiplication by 13 in GF(2^8)
* @type {!Array<number>}
* @private
*/
goog.crypt.Aes.MULT_D_ = [
0x00, 0x0D, 0x1A, 0x17, 0x34, 0x39, 0x2E, 0x23, 0x68, 0x65, 0x72, 0x7F,
0x5C, 0x51, 0x46, 0x4B,
0xD0, 0xDD, 0xCA, 0xC7, 0xE4, 0xE9, 0xFE, 0xF3, 0xB8, 0xB5, 0xA2, 0xAF,
0x8C, 0x81, 0x96, 0x9B,
0xBB, 0xB6, 0xA1, 0xAC, 0x8F, 0x82, 0x95, 0x98, 0xD3, 0xDE, 0xC9, 0xC4,
0xE7, 0xEA, 0xFD, 0xF0,
0x6B, 0x66, 0x71, 0x7C, 0x5F, 0x52, 0x45, 0x48, 0x03, 0x0E, 0x19, 0x14,
0x37, 0x3A, 0x2D, 0x20,
0x6D, 0x60, 0x77, 0x7A, 0x59, 0x54, 0x43, 0x4E, 0x05, 0x08, 0x1F, 0x12,
0x31, 0x3C, 0x2B, 0x26,
0xBD, 0xB0, 0xA7, 0xAA, 0x89, 0x84, 0x93, 0x9E, 0xD5, 0xD8, 0xCF, 0xC2,
0xE1, 0xEC, 0xFB, 0xF6,
0xD6, 0xDB, 0xCC, 0xC1, 0xE2, 0xEF, 0xF8, 0xF5, 0xBE, 0xB3, 0xA4, 0xA9,
0x8A, 0x87, 0x90, 0x9D,
0x06, 0x0B, 0x1C, 0x11, 0x32, 0x3F, 0x28, 0x25, 0x6E, 0x63, 0x74, 0x79,
0x5A, 0x57, 0x40, 0x4D,
0xDA, 0xD7, 0xC0, 0xCD, 0xEE, 0xE3, 0xF4, 0xF9, 0xB2, 0xBF, 0xA8, 0xA5,
0x86, 0x8B, 0x9C, 0x91,
0x0A, 0x07, 0x10, 0x1D, 0x3E, 0x33, 0x24, 0x29, 0x62, 0x6F, 0x78, 0x75,
0x56, 0x5B, 0x4C, 0x41,
0x61, 0x6C, 0x7B, 0x76, 0x55, 0x58, 0x4F, 0x42, 0x09, 0x04, 0x13, 0x1E,
0x3D, 0x30, 0x27, 0x2A,
0xB1, 0xBC, 0xAB, 0xA6, 0x85, 0x88, 0x9F, 0x92, 0xD9, 0xD4, 0xC3, 0xCE,
0xED, 0xE0, 0xF7, 0xFA,
0xB7, 0xBA, 0xAD, 0xA0, 0x83, 0x8E, 0x99, 0x94, 0xDF, 0xD2, 0xC5, 0xC8,
0xEB, 0xE6, 0xF1, 0xFC,
0x67, 0x6A, 0x7D, 0x70, 0x53, 0x5E, 0x49, 0x44, 0x0F, 0x02, 0x15, 0x18,
0x3B, 0x36, 0x21, 0x2C,
0x0C, 0x01, 0x16, 0x1B, 0x38, 0x35, 0x22, 0x2F, 0x64, 0x69, 0x7E, 0x73,
0x50, 0x5D, 0x4A, 0x47,
0xDC, 0xD1, 0xC6, 0xCB, 0xE8, 0xE5, 0xF2, 0xFF, 0xB4, 0xB9, 0xAE, 0xA3,
0x80, 0x8D, 0x9A, 0x97
];
/**
* Precomputed lookup of multiplication by 14 in GF(2^8)
* @type {!Array<number>}
* @private
*/
goog.crypt.Aes.MULT_E_ = [
0x00, 0x0E, 0x1C, 0x12, 0x38, 0x36, 0x24, 0x2A, 0x70, 0x7E, 0x6C, 0x62,
0x48, 0x46, 0x54, 0x5A,
0xE0, 0xEE, 0xFC, 0xF2, 0xD8, 0xD6, 0xC4, 0xCA, 0x90, 0x9E, 0x8C, 0x82,
0xA8, 0xA6, 0xB4, 0xBA,
0xDB, 0xD5, 0xC7, 0xC9, 0xE3, 0xED, 0xFF, 0xF1, 0xAB, 0xA5, 0xB7, 0xB9,
0x93, 0x9D, 0x8F, 0x81,
0x3B, 0x35, 0x27, 0x29, 0x03, 0x0D, 0x1F, 0x11, 0x4B, 0x45, 0x57, 0x59,
0x73, 0x7D, 0x6F, 0x61,
0xAD, 0xA3, 0xB1, 0xBF, 0x95, 0x9B, 0x89, 0x87, 0xDD, 0xD3, 0xC1, 0xCF,
0xE5, 0xEB, 0xF9, 0xF7,
0x4D, 0x43, 0x51, 0x5F, 0x75, 0x7B, 0x69, 0x67, 0x3D, 0x33, 0x21, 0x2F,
0x05, 0x0B, 0x19, 0x17,
0x76, 0x78, 0x6A, 0x64, 0x4E, 0x40, 0x52, 0x5C, 0x06, 0x08, 0x1A, 0x14,
0x3E, 0x30, 0x22, 0x2C,
0x96, 0x98, 0x8A, 0x84, 0xAE, 0xA0, 0xB2, 0xBC, 0xE6, 0xE8, 0xFA, 0xF4,
0xDE, 0xD0, 0xC2, 0xCC,
0x41, 0x4F, 0x5D, 0x53, 0x79, 0x77, 0x65, 0x6B, 0x31, 0x3F, 0x2D, 0x23,
0x09, 0x07, 0x15, 0x1B,
0xA1, 0xAF, 0xBD, 0xB3, 0x99, 0x97, 0x85, 0x8B, 0xD1, 0xDF, 0xCD, 0xC3,
0xE9, 0xE7, 0xF5, 0xFB,
0x9A, 0x94, 0x86, 0x88, 0xA2, 0xAC, 0xBE, 0xB0, 0xEA, 0xE4, 0xF6, 0xF8,
0xD2, 0xDC, 0xCE, 0xC0,
0x7A, 0x74, 0x66, 0x68, 0x42, 0x4C, 0x5E, 0x50, 0x0A, 0x04, 0x16, 0x18,
0x32, 0x3C, 0x2E, 0x20,
0xEC, 0xE2, 0xF0, 0xFE, 0xD4, 0xDA, 0xC8, 0xC6, 0x9C, 0x92, 0x80, 0x8E,
0xA4, 0xAA, 0xB8, 0xB6,
0x0C, 0x02, 0x10, 0x1E, 0x34, 0x3A, 0x28, 0x26, 0x7C, 0x72, 0x60, 0x6E,
0x44, 0x4A, 0x58, 0x56,
0x37, 0x39, 0x2B, 0x25, 0x0F, 0x01, 0x13, 0x1D, 0x47, 0x49, 0x5B, 0x55,
0x7F, 0x71, 0x63, 0x6D,
0xD7, 0xD9, 0xCB, 0xC5, 0xEF, 0xE1, 0xF3, 0xFD, 0xA7, 0xA9, 0xBB, 0xB5,
0x9F, 0x91, 0x83, 0x8D
];