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aes_private.h
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// Copyright 2019 AES WBC Authors. All rights reserved.
// Use of this source code is governed by a BSD-style license that can be
// found in the LICENSE file.
#ifndef AES_PRIVATE_H_
#define AES_PRIVATE_H_
namespace {
// This is the specified AES SBox. To look up a substitution value, put the first
// nibble in the first index (row) and the second nibble in the second index (column).
constexpr uint8_t Sbox[16][16] = {
{ 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 }
};
// This table stores pre-calculated values for all possible GF(2^8) calculations.This
// table is only used by the (Inv)MixColumns steps.
// USAGE: The second index (column) is the coefficient of multiplication. Only 7 different
// coefficients are used: 0x01, 0x02, 0x03, 0x09, 0x0b, 0x0d, 0x0e, but multiplication by
// 1 is negligible leaving only 6 coefficients. Each column of the table is devoted to one
// of these coefficients, in the ascending order of value, from values 0x00 to 0xff.
constexpr uint8_t gf_mul[256][6] = {
{ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, { 0x02, 0x03, 0x09, 0x0b, 0x0d, 0x0e },
{ 0x04, 0x06, 0x12, 0x16, 0x1a, 0x1c }, { 0x06, 0x05, 0x1b, 0x1d, 0x17, 0x12 },
{ 0x08, 0x0c, 0x24, 0x2c, 0x34, 0x38 }, { 0x0a, 0x0f, 0x2d, 0x27, 0x39, 0x36 },
{ 0x0c, 0x0a, 0x36, 0x3a, 0x2e, 0x24 }, { 0x0e, 0x09, 0x3f, 0x31, 0x23, 0x2a },
{ 0x10, 0x18, 0x48, 0x58, 0x68, 0x70 }, { 0x12, 0x1b, 0x41, 0x53, 0x65, 0x7e },
{ 0x14, 0x1e, 0x5a, 0x4e, 0x72, 0x6c }, { 0x16, 0x1d, 0x53, 0x45, 0x7f, 0x62 },
{ 0x18, 0x14, 0x6c, 0x74, 0x5c, 0x48 }, { 0x1a, 0x17, 0x65, 0x7f, 0x51, 0x46 },
{ 0x1c, 0x12, 0x7e, 0x62, 0x46, 0x54 }, { 0x1e, 0x11, 0x77, 0x69, 0x4b, 0x5a },
{ 0x20, 0x30, 0x90, 0xb0, 0xd0, 0xe0 }, { 0x22, 0x33, 0x99, 0xbb, 0xdd, 0xee },
{ 0x24, 0x36, 0x82, 0xa6, 0xca, 0xfc }, { 0x26, 0x35, 0x8b, 0xad, 0xc7, 0xf2 },
{ 0x28, 0x3c, 0xb4, 0x9c, 0xe4, 0xd8 }, { 0x2a, 0x3f, 0xbd, 0x97, 0xe9, 0xd6 },
{ 0x2c, 0x3a, 0xa6, 0x8a, 0xfe, 0xc4 }, { 0x2e, 0x39, 0xaf, 0x81, 0xf3, 0xca },
{ 0x30, 0x28, 0xd8, 0xe8, 0xb8, 0x90 }, { 0x32, 0x2b, 0xd1, 0xe3, 0xb5, 0x9e },
{ 0x34, 0x2e, 0xca, 0xfe, 0xa2, 0x8c }, { 0x36, 0x2d, 0xc3, 0xf5, 0xaf, 0x82 },
{ 0x38, 0x24, 0xfc, 0xc4, 0x8c, 0xa8 }, { 0x3a, 0x27, 0xf5, 0xcf, 0x81, 0xa6 },
{ 0x3c, 0x22, 0xee, 0xd2, 0x96, 0xb4 }, { 0x3e, 0x21, 0xe7, 0xd9, 0x9b, 0xba },
{ 0x40, 0x60, 0x3b, 0x7b, 0xbb, 0xdb }, { 0x42, 0x63, 0x32, 0x70, 0xb6, 0xd5 },
{ 0x44, 0x66, 0x29, 0x6d, 0xa1, 0xc7 }, { 0x46, 0x65, 0x20, 0x66, 0xac, 0xc9 },
{ 0x48, 0x6c, 0x1f, 0x57, 0x8f, 0xe3 }, { 0x4a, 0x6f, 0x16, 0x5c, 0x82, 0xed },
{ 0x4c, 0x6a, 0x0d, 0x41, 0x95, 0xff }, { 0x4e, 0x69, 0x04, 0x4a, 0x98, 0xf1 },
{ 0x50, 0x78, 0x73, 0x23, 0xd3, 0xab }, { 0x52, 0x7b, 0x7a, 0x28, 0xde, 0xa5 },
{ 0x54, 0x7e, 0x61, 0x35, 0xc9, 0xb7 }, { 0x56, 0x7d, 0x68, 0x3e, 0xc4, 0xb9 },
{ 0x58, 0x74, 0x57, 0x0f, 0xe7, 0x93 }, { 0x5a, 0x77, 0x5e, 0x04, 0xea, 0x9d },
{ 0x5c, 0x72, 0x45, 0x19, 0xfd, 0x8f }, { 0x5e, 0x71, 0x4c, 0x12, 0xf0, 0x81 },
{ 0x60, 0x50, 0xab, 0xcb, 0x6b, 0x3b }, { 0x62, 0x53, 0xa2, 0xc0, 0x66, 0x35 },
{ 0x64, 0x56, 0xb9, 0xdd, 0x71, 0x27 }, { 0x66, 0x55, 0xb0, 0xd6, 0x7c, 0x29 },
{ 0x68, 0x5c, 0x8f, 0xe7, 0x5f, 0x03 }, { 0x6a, 0x5f, 0x86, 0xec, 0x52, 0x0d },
{ 0x6c, 0x5a, 0x9d, 0xf1, 0x45, 0x1f }, { 0x6e, 0x59, 0x94, 0xfa, 0x48, 0x11 },
{ 0x70, 0x48, 0xe3, 0x93, 0x03, 0x4b }, { 0x72, 0x4b, 0xea, 0x98, 0x0e, 0x45 },
{ 0x74, 0x4e, 0xf1, 0x85, 0x19, 0x57 }, { 0x76, 0x4d, 0xf8, 0x8e, 0x14, 0x59 },
{ 0x78, 0x44, 0xc7, 0xbf, 0x37, 0x73 }, { 0x7a, 0x47, 0xce, 0xb4, 0x3a, 0x7d },
{ 0x7c, 0x42, 0xd5, 0xa9, 0x2d, 0x6f }, { 0x7e, 0x41, 0xdc, 0xa2, 0x20, 0x61 },
{ 0x80, 0xc0, 0x76, 0xf6, 0x6d, 0xad }, { 0x82, 0xc3, 0x7f, 0xfd, 0x60, 0xa3 },
{ 0x84, 0xc6, 0x64, 0xe0, 0x77, 0xb1 }, { 0x86, 0xc5, 0x6d, 0xeb, 0x7a, 0xbf },
{ 0x88, 0xcc, 0x52, 0xda, 0x59, 0x95 }, { 0x8a, 0xcf, 0x5b, 0xd1, 0x54, 0x9b },
{ 0x8c, 0xca, 0x40, 0xcc, 0x43, 0x89 }, { 0x8e, 0xc9, 0x49, 0xc7, 0x4e, 0x87 },
{ 0x90, 0xd8, 0x3e, 0xae, 0x05, 0xdd }, { 0x92, 0xdb, 0x37, 0xa5, 0x08, 0xd3 },
{ 0x94, 0xde, 0x2c, 0xb8, 0x1f, 0xc1 }, { 0x96, 0xdd, 0x25, 0xb3, 0x12, 0xcf },
{ 0x98, 0xd4, 0x1a, 0x82, 0x31, 0xe5 }, { 0x9a, 0xd7, 0x13, 0x89, 0x3c, 0xeb },
{ 0x9c, 0xd2, 0x08, 0x94, 0x2b, 0xf9 }, { 0x9e, 0xd1, 0x01, 0x9f, 0x26, 0xf7 },
{ 0xa0, 0xf0, 0xe6, 0x46, 0xbd, 0x4d }, { 0xa2, 0xf3, 0xef, 0x4d, 0xb0, 0x43 },
{ 0xa4, 0xf6, 0xf4, 0x50, 0xa7, 0x51 }, { 0xa6, 0xf5, 0xfd, 0x5b, 0xaa, 0x5f },
{ 0xa8, 0xfc, 0xc2, 0x6a, 0x89, 0x75 }, { 0xaa, 0xff, 0xcb, 0x61, 0x84, 0x7b },
{ 0xac, 0xfa, 0xd0, 0x7c, 0x93, 0x69 }, { 0xae, 0xf9, 0xd9, 0x77, 0x9e, 0x67 },
{ 0xb0, 0xe8, 0xae, 0x1e, 0xd5, 0x3d }, { 0xb2, 0xeb, 0xa7, 0x15, 0xd8, 0x33 },
{ 0xb4, 0xee, 0xbc, 0x08, 0xcf, 0x21 }, { 0xb6, 0xed, 0xb5, 0x03, 0xc2, 0x2f },
{ 0xb8, 0xe4, 0x8a, 0x32, 0xe1, 0x05 }, { 0xba, 0xe7, 0x83, 0x39, 0xec, 0x0b },
{ 0xbc, 0xe2, 0x98, 0x24, 0xfb, 0x19 }, { 0xbe, 0xe1, 0x91, 0x2f, 0xf6, 0x17 },
{ 0xc0, 0xa0, 0x4d, 0x8d, 0xd6, 0x76 }, { 0xc2, 0xa3, 0x44, 0x86, 0xdb, 0x78 },
{ 0xc4, 0xa6, 0x5f, 0x9b, 0xcc, 0x6a }, { 0xc6, 0xa5, 0x56, 0x90, 0xc1, 0x64 },
{ 0xc8, 0xac, 0x69, 0xa1, 0xe2, 0x4e }, { 0xca, 0xaf, 0x60, 0xaa, 0xef, 0x40 },
{ 0xcc, 0xaa, 0x7b, 0xb7, 0xf8, 0x52 }, { 0xce, 0xa9, 0x72, 0xbc, 0xf5, 0x5c },
{ 0xd0, 0xb8, 0x05, 0xd5, 0xbe, 0x06 }, { 0xd2, 0xbb, 0x0c, 0xde, 0xb3, 0x08 },
{ 0xd4, 0xbe, 0x17, 0xc3, 0xa4, 0x1a }, { 0xd6, 0xbd, 0x1e, 0xc8, 0xa9, 0x14 },
{ 0xd8, 0xb4, 0x21, 0xf9, 0x8a, 0x3e }, { 0xda, 0xb7, 0x28, 0xf2, 0x87, 0x30 },
{ 0xdc, 0xb2, 0x33, 0xef, 0x90, 0x22 }, { 0xde, 0xb1, 0x3a, 0xe4, 0x9d, 0x2c },
{ 0xe0, 0x90, 0xdd, 0x3d, 0x06, 0x96 }, { 0xe2, 0x93, 0xd4, 0x36, 0x0b, 0x98 },
{ 0xe4, 0x96, 0xcf, 0x2b, 0x1c, 0x8a }, { 0xe6, 0x95, 0xc6, 0x20, 0x11, 0x84 },
{ 0xe8, 0x9c, 0xf9, 0x11, 0x32, 0xae }, { 0xea, 0x9f, 0xf0, 0x1a, 0x3f, 0xa0 },
{ 0xec, 0x9a, 0xeb, 0x07, 0x28, 0xb2 }, { 0xee, 0x99, 0xe2, 0x0c, 0x25, 0xbc },
{ 0xf0, 0x88, 0x95, 0x65, 0x6e, 0xe6 }, { 0xf2, 0x8b, 0x9c, 0x6e, 0x63, 0xe8 },
{ 0xf4, 0x8e, 0x87, 0x73, 0x74, 0xfa }, { 0xf6, 0x8d, 0x8e, 0x78, 0x79, 0xf4 },
{ 0xf8, 0x84, 0xb1, 0x49, 0x5a, 0xde }, { 0xfa, 0x87, 0xb8, 0x42, 0x57, 0xd0 },
{ 0xfc, 0x82, 0xa3, 0x5f, 0x40, 0xc2 }, { 0xfe, 0x81, 0xaa, 0x54, 0x4d, 0xcc },
{ 0x1b, 0x9b, 0xec, 0xf7, 0xda, 0x41 }, { 0x19, 0x98, 0xe5, 0xfc, 0xd7, 0x4f },
{ 0x1f, 0x9d, 0xfe, 0xe1, 0xc0, 0x5d }, { 0x1d, 0x9e, 0xf7, 0xea, 0xcd, 0x53 },
{ 0x13, 0x97, 0xc8, 0xdb, 0xee, 0x79 }, { 0x11, 0x94, 0xc1, 0xd0, 0xe3, 0x77 },
{ 0x17, 0x91, 0xda, 0xcd, 0xf4, 0x65 }, { 0x15, 0x92, 0xd3, 0xc6, 0xf9, 0x6b },
{ 0x0b, 0x83, 0xa4, 0xaf, 0xb2, 0x31 }, { 0x09, 0x80, 0xad, 0xa4, 0xbf, 0x3f },
{ 0x0f, 0x85, 0xb6, 0xb9, 0xa8, 0x2d }, { 0x0d, 0x86, 0xbf, 0xb2, 0xa5, 0x23 },
{ 0x03, 0x8f, 0x80, 0x83, 0x86, 0x09 }, { 0x01, 0x8c, 0x89, 0x88, 0x8b, 0x07 },
{ 0x07, 0x89, 0x92, 0x95, 0x9c, 0x15 }, { 0x05, 0x8a, 0x9b, 0x9e, 0x91, 0x1b },
{ 0x3b, 0xab, 0x7c, 0x47, 0x0a, 0xa1 }, { 0x39, 0xa8, 0x75, 0x4c, 0x07, 0xaf },
{ 0x3f, 0xad, 0x6e, 0x51, 0x10, 0xbd }, { 0x3d, 0xae, 0x67, 0x5a, 0x1d, 0xb3 },
{ 0x33, 0xa7, 0x58, 0x6b, 0x3e, 0x99 }, { 0x31, 0xa4, 0x51, 0x60, 0x33, 0x97 },
{ 0x37, 0xa1, 0x4a, 0x7d, 0x24, 0x85 }, { 0x35, 0xa2, 0x43, 0x76, 0x29, 0x8b },
{ 0x2b, 0xb3, 0x34, 0x1f, 0x62, 0xd1 }, { 0x29, 0xb0, 0x3d, 0x14, 0x6f, 0xdf },
{ 0x2f, 0xb5, 0x26, 0x09, 0x78, 0xcd }, { 0x2d, 0xb6, 0x2f, 0x02, 0x75, 0xc3 },
{ 0x23, 0xbf, 0x10, 0x33, 0x56, 0xe9 }, { 0x21, 0xbc, 0x19, 0x38, 0x5b, 0xe7 },
{ 0x27, 0xb9, 0x02, 0x25, 0x4c, 0xf5 }, { 0x25, 0xba, 0x0b, 0x2e, 0x41, 0xfb },
{ 0x5b, 0xfb, 0xd7, 0x8c, 0x61, 0x9a }, { 0x59, 0xf8, 0xde, 0x87, 0x6c, 0x94 },
{ 0x5f, 0xfd, 0xc5, 0x9a, 0x7b, 0x86 }, { 0x5d, 0xfe, 0xcc, 0x91, 0x76, 0x88 },
{ 0x53, 0xf7, 0xf3, 0xa0, 0x55, 0xa2 }, { 0x51, 0xf4, 0xfa, 0xab, 0x58, 0xac },
{ 0x57, 0xf1, 0xe1, 0xb6, 0x4f, 0xbe }, { 0x55, 0xf2, 0xe8, 0xbd, 0x42, 0xb0 },
{ 0x4b, 0xe3, 0x9f, 0xd4, 0x09, 0xea }, { 0x49, 0xe0, 0x96, 0xdf, 0x04, 0xe4 },
{ 0x4f, 0xe5, 0x8d, 0xc2, 0x13, 0xf6 }, { 0x4d, 0xe6, 0x84, 0xc9, 0x1e, 0xf8 },
{ 0x43, 0xef, 0xbb, 0xf8, 0x3d, 0xd2 }, { 0x41, 0xec, 0xb2, 0xf3, 0x30, 0xdc },
{ 0x47, 0xe9, 0xa9, 0xee, 0x27, 0xce }, { 0x45, 0xea, 0xa0, 0xe5, 0x2a, 0xc0 },
{ 0x7b, 0xcb, 0x47, 0x3c, 0xb1, 0x7a }, { 0x79, 0xc8, 0x4e, 0x37, 0xbc, 0x74 },
{ 0x7f, 0xcd, 0x55, 0x2a, 0xab, 0x66 }, { 0x7d, 0xce, 0x5c, 0x21, 0xa6, 0x68 },
{ 0x73, 0xc7, 0x63, 0x10, 0x85, 0x42 }, { 0x71, 0xc4, 0x6a, 0x1b, 0x88, 0x4c },
{ 0x77, 0xc1, 0x71, 0x06, 0x9f, 0x5e }, { 0x75, 0xc2, 0x78, 0x0d, 0x92, 0x50 },
{ 0x6b, 0xd3, 0x0f, 0x64, 0xd9, 0x0a }, { 0x69, 0xd0, 0x06, 0x6f, 0xd4, 0x04 },
{ 0x6f, 0xd5, 0x1d, 0x72, 0xc3, 0x16 }, { 0x6d, 0xd6, 0x14, 0x79, 0xce, 0x18 },
{ 0x63, 0xdf, 0x2b, 0x48, 0xed, 0x32 }, { 0x61, 0xdc, 0x22, 0x43, 0xe0, 0x3c },
{ 0x67, 0xd9, 0x39, 0x5e, 0xf7, 0x2e }, { 0x65, 0xda, 0x30, 0x55, 0xfa, 0x20 },
{ 0x9b, 0x5b, 0x9a, 0x01, 0xb7, 0xec }, { 0x99, 0x58, 0x93, 0x0a, 0xba, 0xe2 },
{ 0x9f, 0x5d, 0x88, 0x17, 0xad, 0xf0 }, { 0x9d, 0x5e, 0x81, 0x1c, 0xa0, 0xfe },
{ 0x93, 0x57, 0xbe, 0x2d, 0x83, 0xd4 }, { 0x91, 0x54, 0xb7, 0x26, 0x8e, 0xda },
{ 0x97, 0x51, 0xac, 0x3b, 0x99, 0xc8 }, { 0x95, 0x52, 0xa5, 0x30, 0x94, 0xc6 },
{ 0x8b, 0x43, 0xd2, 0x59, 0xdf, 0x9c }, { 0x89, 0x40, 0xdb, 0x52, 0xd2, 0x92 },
{ 0x8f, 0x45, 0xc0, 0x4f, 0xc5, 0x80 }, { 0x8d, 0x46, 0xc9, 0x44, 0xc8, 0x8e },
{ 0x83, 0x4f, 0xf6, 0x75, 0xeb, 0xa4 }, { 0x81, 0x4c, 0xff, 0x7e, 0xe6, 0xaa },
{ 0x87, 0x49, 0xe4, 0x63, 0xf1, 0xb8 }, { 0x85, 0x4a, 0xed, 0x68, 0xfc, 0xb6 },
{ 0xbb, 0x6b, 0x0a, 0xb1, 0x67, 0x0c }, { 0xb9, 0x68, 0x03, 0xba, 0x6a, 0x02 },
{ 0xbf, 0x6d, 0x18, 0xa7, 0x7d, 0x10 }, { 0xbd, 0x6e, 0x11, 0xac, 0x70, 0x1e },
{ 0xb3, 0x67, 0x2e, 0x9d, 0x53, 0x34 }, { 0xb1, 0x64, 0x27, 0x96, 0x5e, 0x3a },
{ 0xb7, 0x61, 0x3c, 0x8b, 0x49, 0x28 }, { 0xb5, 0x62, 0x35, 0x80, 0x44, 0x26 },
{ 0xab, 0x73, 0x42, 0xe9, 0x0f, 0x7c }, { 0xa9, 0x70, 0x4b, 0xe2, 0x02, 0x72 },
{ 0xaf, 0x75, 0x50, 0xff, 0x15, 0x60 }, { 0xad, 0x76, 0x59, 0xf4, 0x18, 0x6e },
{ 0xa3, 0x7f, 0x66, 0xc5, 0x3b, 0x44 }, { 0xa1, 0x7c, 0x6f, 0xce, 0x36, 0x4a },
{ 0xa7, 0x79, 0x74, 0xd3, 0x21, 0x58 }, { 0xa5, 0x7a, 0x7d, 0xd8, 0x2c, 0x56 },
{ 0xdb, 0x3b, 0xa1, 0x7a, 0x0c, 0x37 }, { 0xd9, 0x38, 0xa8, 0x71, 0x01, 0x39 },
{ 0xdf, 0x3d, 0xb3, 0x6c, 0x16, 0x2b }, { 0xdd, 0x3e, 0xba, 0x67, 0x1b, 0x25 },
{ 0xd3, 0x37, 0x85, 0x56, 0x38, 0x0f }, { 0xd1, 0x34, 0x8c, 0x5d, 0x35, 0x01 },
{ 0xd7, 0x31, 0x97, 0x40, 0x22, 0x13 }, { 0xd5, 0x32, 0x9e, 0x4b, 0x2f, 0x1d },
{ 0xcb, 0x23, 0xe9, 0x22, 0x64, 0x47 }, { 0xc9, 0x20, 0xe0, 0x29, 0x69, 0x49 },
{ 0xcf, 0x25, 0xfb, 0x34, 0x7e, 0x5b }, { 0xcd, 0x26, 0xf2, 0x3f, 0x73, 0x55 },
{ 0xc3, 0x2f, 0xcd, 0x0e, 0x50, 0x7f }, { 0xc1, 0x2c, 0xc4, 0x05, 0x5d, 0x71 },
{ 0xc7, 0x29, 0xdf, 0x18, 0x4a, 0x63 }, { 0xc5, 0x2a, 0xd6, 0x13, 0x47, 0x6d },
{ 0xfb, 0x0b, 0x31, 0xca, 0xdc, 0xd7 }, { 0xf9, 0x08, 0x38, 0xc1, 0xd1, 0xd9 },
{ 0xff, 0x0d, 0x23, 0xdc, 0xc6, 0xcb }, { 0xfd, 0x0e, 0x2a, 0xd7, 0xcb, 0xc5 },
{ 0xf3, 0x07, 0x15, 0xe6, 0xe8, 0xef }, { 0xf1, 0x04, 0x1c, 0xed, 0xe5, 0xe1 },
{ 0xf7, 0x01, 0x07, 0xf0, 0xf2, 0xf3 }, { 0xf5, 0x02, 0x0e, 0xfb, 0xff, 0xfd },
{ 0xeb, 0x13, 0x79, 0x92, 0xb4, 0xa7 }, { 0xe9, 0x10, 0x70, 0x99, 0xb9, 0xa9 },
{ 0xef, 0x15, 0x6b, 0x84, 0xae, 0xbb }, { 0xed, 0x16, 0x62, 0x8f, 0xa3, 0xb5 },
{ 0xe3, 0x1f, 0x5d, 0xbe, 0x80, 0x9f }, { 0xe1, 0x1c, 0x54, 0xb5, 0x8d, 0x91 },
{ 0xe7, 0x19, 0x4f, 0xa8, 0x9a, 0x83 }, { 0xe5, 0x1a, 0x46, 0xa3, 0x97, 0x8d }
};
constexpr int ShiftRowsTab[16] = {
0, 5, 10, 15,
4, 9, 14, 3,
8, 13, 2, 7,
12, 1, 6, 11,
};
constexpr int InvShiftRowsTab[16] = {
0, 13, 10, 7,
4, 1, 14, 11,
8, 5, 2, 15,
12, 9, 6, 3,
};
// Performs the AddRoundKey step. Each round has its own pre-generated 16-byte key in the
// form of 4 integers (the "w" array). Each integer is XOR'd by one column of the state.
// Also performs the job of InvAddRoundKey(); since the function is a simple XOR process,
// it is its own inverse.
inline void AddRoundKey(uint8_t state[16], const uint32_t roundKey[4]) {
// Subkeys 1 to 4
for (unsigned i = 0; i < 4; i++)
for (unsigned j = 0; j < 4; j++)
state[i*4 + j] ^= roundKey[i] >> ((3 - j) * 8);
}
// This second version already considers the state already shifted by ShiftRows
inline void AddRoundKeyAfterShift(uint8_t state[16], const uint32_t roundKey[4]) {
// Subkeys 1 to 4, but already shifted
for (unsigned i = 0; i < 4; i++)
for (unsigned j = 0; j < 4; j++)
state[i*4 + j] ^= roundKey[(j+i) % 4] >> ((3 - j) * 8);
}
// Performs the SubBytes step. All bytes in the state are substituted with a
// pre-calculated value from a lookup table.
inline void SubBytes(uint8_t state[16]) {
for (int i = 0; i < 4; i++)
for (int j = 0; j < 4; j++)
state[i*4 + j] = Sbox[state[i*4 + j] >> 4][state[i*4 + j] & 0x0f];
}
// Performs the ShiftRows step. All rows are shifted cylindrically to the left.
inline void ShiftRows(uint8_t state[16]) {
const uint8_t in[16] = {
state[ 0], state[ 1], state[ 2], state[ 3],
state[ 4], state[ 5], state[ 6], state[ 7],
state[ 8], state[ 9], state[10], state[11],
state[12], state[13], state[14], state[15],
};
for (int i = 0; i < 16; i++)
state[i] = in[ShiftRowsTab[i]];
}
// Performs the MixColums step. The state is multiplied by itself using matrix
// multiplication in a Galois Field 2^8. All multiplication is pre-computed in a table.
// Addition is equivilent to XOR. (Must always make a copy of the column as the original
// values will be destoyed.)
inline void MixColumns(uint8_t state[16]) {
for (int i = 0; i < 4; i++) {
uint8_t a = state[4*i + 0], b = state[4*i + 1],
c = state[4*i + 2], d = state[4*i + 3];
state[4*i + 0] = gf_mul[a][0] ^ gf_mul[b][1] ^ c ^ d;
state[4*i + 1] = a ^ gf_mul[b][0] ^ gf_mul[c][1] ^ d;
state[4*i + 2] = a ^ b ^ gf_mul[c][0] ^ gf_mul[d][1];
state[4*i + 3] = gf_mul[a][1] ^ b ^ c ^ gf_mul[d][0];
}
}
// Substitutes a word using the AES S-Box.
constexpr uint32_t SubWord(uint32_t word) {
return (int)(Sbox[(word >> 4) & 0x0000000f][word & 0x0000000f])
+ (int)(Sbox[(word >> 12) & 0x0000000f][(word >> 8) & 0x0000000f] << 8)
+ (int)(Sbox[(word >> 20) & 0x0000000f][(word >> 16) & 0x0000000f] << 16)
+ (int)(Sbox[(word >> 28) & 0x0000000f][(word >> 24) & 0x0000000f] << 24);
}
// The least significant byte of the word is rotated to the end.
constexpr uint32_t RotWord(uint32_t x) {
return (x << 8) | (x >> 24);
}
// Performs the action of generating the keys that will be used in every round
// of encryption. "key" is the user-supplied input key, "w" is the output key
// schedule.
inline void ExpandKeys(const uint8_t* key,
uint32_t* w, int Nk, int Nr) {
constexpr int Nb = 4;
constexpr uint32_t Rcon[] = {
0x01000000, 0x02000000, 0x04000000,
0x08000000, 0x10000000, 0x20000000,
0x40000000, 0x80000000, 0x1b000000,
0x36000000, 0x6c000000, 0xd8000000,
0xab000000, 0x4d000000, 0x9a000000
};
for (int i = 0; i < Nk; ++i) {
w[i] = ((key[4 * i + 0]) << 24)
| ((key[4 * i + 1]) << 16)
| ((key[4 * i + 2]) << 8)
| ((key[4 * i + 3]) << 0);
}
for (int i = Nk; i < Nb * (Nr+1); ++i) {
uint32_t temp = w[i - 1];
if ((i % Nk) == 0)
temp = SubWord(RotWord(temp)) ^ Rcon[(i-1)/Nk];
else if (Nk > 6 && (i % Nk) == 4)
temp = SubWord(temp);
w[i] = w[i-Nk] ^ temp;
}
}
} // namespace
#endif // AES_PRIVATE_H_