简介
AES原本指的是一套标准FIPS 197，而AES算法一般指分组大小为128bits的Rijndeal算法，由比利时学者Joan Daemen和Vincent Rijmen提出。
AES与Rijndeal的区别
AES仅指分段为128位的Rijndeal算法，两种算法对比如下：
(Nr表示循环轮数，Nb表示分组大小，Nk表示密钥长度，Nb和Nk单位都是32bits)
加密
总体流程
图片来自链接，这张图是AES-128的流程，AES-192和AES-256除了加密轮数和密钥长度以外都是一样的
AES加密的整个过程是在一个4×4的字节矩阵上运作的，这个字节矩阵称作state。这个字节矩阵是由当前明文块处理得到的，简而言之就是把当前的16个字节按照4个字节一行排列成矩阵，比如说
0x00,0x01,0x02,0x03,0x04,0x05,0x06,0x07,0x08,0x09,0x0a,0x0b,0x0c,0x0d,0x0e,0x0f处理后得到的矩阵就是
0x00,0x01,0x02,0x03,
0x04,0x05,0x06,0x07,
0x08,0x09,0x0a,0x0b,
0x0c,0x0d,0x0e,0x0f加密前要先进行KeyExpansion，将原始的密钥扩展得到扩展密钥，原始密钥同样要做与上面一样的变换得到矩阵才能进行运算
然后是开始加密，按照上图中顺序调用如下四个轮函数：
AddRoundKey：轮密钥加运算，将当前的ByteSub：字节变换 (S盒变换)ShiftRows：行变换MixColumns：列变换
4个轮函数都是在伽罗瓦域$GF(256)$上进行的。伽罗瓦域 (Galois Field) 是一个满足特定规则的集合，其中元素可以进行加减乘除，且运算结果也都是这个集合的元素，具体细节可以。
接下来分析四个轮函数
轮密钥加 / AddRoundKey
这个就是简单的把当前状态 (state) 与扩展密钥进行按位异或，代码如下：
void aes::AddRoundKey(word *ExpandedKey, int i) {toBytes(ExpandedKey[Nb * i + 0], RoundKey + 0 * Nb);toBytes(ExpandedKey[Nb * i + 1], RoundKey + 1 * Nb);toBytes(ExpandedKey[Nb * i + 2], RoundKey + 2 * Nb);toBytes(ExpandedKey[Nb * i + 3], RoundKey + 3 * Nb);for (int k = 0; k < Nb * 4; ++k) {state[k] = state[k] ^ RoundKey[k];}
}
注意：AddRoundKey所异或的扩展密钥与当前加密轮数有关。扩展密钥是一个word数组，每个word有32bit，也就是说每个word能分解为4个byte，而异或轮密钥的时候需要把当前要异或的一组轮密钥（共4个word）分解为16个byte再进行异或。扩展密钥的长度是Nb*(Nr+1)，每次AddRoundKey需要使用当前轮数乘上Nb开始的4个word长的轮密钥。
字节变换 / ByteSub
这一步就是将state中每一个字节替换为S_box中的对应字节。S_box是一个有256个元素的一维数组，直接查找当前字节所对应的新的字节并替换即可。
那肯定有人会问：S_box是怎么来的？
很显然这个S_box不是随随便便来的一个数组。这是通过计算得来的，当然我们直接把他看作一个常量数组即可。
S_box是怎么来的？
本段数学内容较多，可以直接跳到下一条分割线继续阅读。
首先我们要知道什么是GF(256)域，具体可以参考我的这篇文章：
AI1379：GF(256)域zhuanlan.zhihu.com
(接下来默认你已经明白GF(256)和它上面的运算了)
首先我们求出当前字节在GF(256)上的乘法逆元 (相当于实数域上倒数的概念) ，如果当前字节是0x00则不变。我们把得到的这个数设为 $x$ 并把它以多项式的形式表示成如下形式：
接着我们有一个8位二进制数 $y$ ，同样以上面的方式表示，并且满足：
这个y就是这个字节在S_box中所对应的值。
注意这里顺序是反的，高位在下低位在上，并且都是以2进制形式表示的
附上S_box数组：
const byte S_Box[256] = {
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
};
行变换 / ShiftRow
这个就比较好理解了，就是把每行左环移，第一行不变，第二行环移1位，第三行环移2位，第三行环移3位，代码如下：
void aes::ShiftRow() {for (int i = 1; i < Nb; ++i) {for (int j = 0; j < i; ++j) {byte tmp = state[i];state[i + 0 * 4] = state[i + (0 + 1) * 4];state[i + 1 * 4] = state[i + (1 + 1) * 4];state[i + 2 * 4] = state[i + (2 + 1) * 4];state[i + 3 * 4] = tmp;}}
}
列混合 / MixColumn
这是整个AES加密流程中最复杂的一步，同时要应用到之前在S盒变换里提到过的GF(256)域，如果真的想要理解这一步的话建议先去仔细了解一下GF(256)再来继续阅读
我们定义一个多项式
，带单引号的数表示16进制数。
然后我们定义：
或者说
得到了一个新的列。
但是实际上我们很少会直接用GF(256)上的乘法来计算这个。由于AES的整个加密和解密过程只需要用到256*6个GFMul的值，因此我们可以直接用查表的方式加速计算。
代码：
void aes::MixColumn() {const byte y[16] = {0x02, 0x03, 0x01, 0x01,0x01, 0x02, 0x03, 0x01,0x01, 0x01, 0x02, 0x03,0x03, 0x01, 0x01, 0x02};byte arr[4];for (int i = 0; i < 4; ++i) {for (int k = 0; k < 4; ++k) {arr[k] = 0;for (int j = 0; j < 4; ++j) {arr[k] = arr[k] ^ GFMul(y[k * 4 + j], state[i * 4 + j]);}}for (int k = 0; k < 4; ++k) {state[i * 4 + k] = arr[k];}}
}
密钥扩展 / KeyExpansion
万事俱备，只欠东风。4个轮函数已经全部齐了，现在只差一步——密钥扩展。
扩展密钥是一个长为Nb*(Nr+1)的word数组，一个word相当于8个byte。对于AES-128和AES-192，代码如下：
void aes128::KeyExpansion() {for (int i = 0; i < Nk; ++i) {w[i] = toWord(key[4 * i], key[4 * i + 1], key[4 * i + 2], key[4 * i + 3]);}for (int i = Nk; i < Nb * (Nr + 1); ++i) {auto temp = w[i - 1];if (i % Nk == 0) {temp = SubByte(RotByte(temp)) ^ Rcon[i / Nk];}w[i] = w[i - Nk] ^ temp;}
}
而对于AES-256则多了一步：
void aes256::KeyExpansion() {for (int i = 0; i < Nk; ++i) {w[i] = toWord(key[4 * i], key[4 * i + 1], key[4 * i + 2], key[4 * i + 3]);}for (int i = Nk; i < Nb * (Nr + 1); ++i) {auto temp = w[i - 1];if (i % Nk == 0) {temp = SubByte(RotByte(temp)) ^ Rcon[i / Nk];} else if (i % Nk == 4) {temp = SubByte(temp);}w[i] = w[i - Nk] ^ temp;}
}
其中出现了几个东西：RotByte，SubByte和Rcon。
RotByte
RotByte函数是将这个word中的四个byte左环移一位，代码如下：
word aes::RotByte(crypto::word in) {word res;byte arr[4];toBytes(in, arr);res = toWord(arr[1], arr[2], arr[3], arr[0]);return res;
}
这个比较好理解，就不多说了。
SubByte
SubByte是对这个word里的每一个byte进行S盒变换，代码也很简单：
word aes::SubByte(crypto::word in) {word res;byte arr[4];toBytes(in, arr);res = toWord(S_Box[arr[0]], S_Box[arr[1]], S_Box[arr[2]], S_Box[arr[3]]);return res;
}
Rcon
这个就比较复杂了，仍然要用到$GF(256)$相关内容（当然我们也可以把它看作常数数组）
首先我们有一个数组RC，其中：
这里的所有运算都是在GF(256)上进行的。
而Rcon[i]=toWord(Rc[i],0x00,0x00,0x00)。
整个数组如下：
const word Rcon[16] = {0x00000000, 0x01000000, 0x02000000, 0x04000000,0x08000000, 0x10000000, 0x20000000, 0x40000000,0x80000000, 0x1b000000, 0x36000000, 0x6c000000,0xd8000000, 0xab000000, 0xed000000, 0x9a000000};
解密
解密过程与加密过程刚好相反。这里只放几个关键数据：
逆S盒
const byte Inv_S_Box[256] = {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
};
逆列变换
void aes::InvMixColumn() {const byte y[16] = {0x0e, 0x0b, 0x0d, 0x09,0x09, 0x0e, 0x0b, 0x0d,0x0d, 0x09, 0x0e, 0x0b,0x0b, 0x0d, 0x09, 0x0e};byte arr[4];for (int i = 0; i < Nb; ++i) {for (int k = 0; k < 4; ++k) {arr[k] = 0;for (int j = 0; j < 4; ++j) {arr[k] = arr[k] ^ GFMul(y[k * 4 + j], state[i * 4 + j]);}}for (int k = 0; k < 4; ++k) {state[i * 4 + k] = arr[k];}}
}
逆行变换
void aes::InvShiftRow() {for (int i = 1; i < Nb; i++) {for (int j = 0; j < Nb - i; ++j) {byte tmp = state[i];state[i + 0 * 4] = state[i + (0 + 1) * 4];state[i + 1 * 4] = state[i + (1 + 1) * 4];state[i + 2 * 4] = state[i + (2 + 1) * 4];state[i + 3 * 4] = tmp;}}
}
轮密钥加和密钥扩展
加密和解密过程中轮密钥加和密钥扩展是完全一样的，不需要另外写新的代码。
完整的代码
aes.h:
#include <cstdint>
#include <cstring>namespace crypto {typedef uint8_t byte;typedef uint32_t word;class aes {protected:static constexpr int Nb = 4;static constexpr byte S_Box[256] = {/* 0 1 2 3 4 5 6 7 8 9 A B C D E F */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};static constexpr byte Inv_S_Box[256] = {/* 0 1 2 3 4 5 6 7 8 9 A B C D E F */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};static constexpr byte Mul_01[256] = {0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f,0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f,0x20, 0x21, 0x22, 0x23, 0x24, 0x25, 0x26, 0x27, 0x28, 0x29, 0x2a, 0x2b, 0x2c, 0x2d, 0x2e, 0x2f,0x30, 0x31, 0x32, 0x33, 0x34, 0x35, 0x36, 0x37, 0x38, 0x39, 0x3a, 0x3b, 0x3c, 0x3d, 0x3e, 0x3f,0x40, 0x41, 0x42, 0x43, 0x44, 0x45, 0x46, 0x47, 0x48, 0x49, 0x4a, 0x4b, 0x4c, 0x4d, 0x4e, 0x4f,0x50, 0x51, 0x52, 0x53, 0x54, 0x55, 0x56, 0x57, 0x58, 0x59, 0x5a, 0x5b, 0x5c, 0x5d, 0x5e, 0x5f,0x60, 0x61, 0x62, 0x63, 0x64, 0x65, 0x66, 0x67, 0x68, 0x69, 0x6a, 0x6b, 0x6c, 0x6d, 0x6e, 0x6f,0x70, 0x71, 0x72, 0x73, 0x74, 0x75, 0x76, 0x77, 0x78, 0x79, 0x7a, 0x7b, 0x7c, 0x7d, 0x7e, 0x7f,0x80, 0x81, 0x82, 0x83, 0x84, 0x85, 0x86, 0x87, 0x88, 0x89, 0x8a, 0x8b, 0x8c, 0x8d, 0x8e, 0x8f,0x90, 0x91, 0x92, 0x93, 0x94, 0x95, 0x96, 0x97, 0x98, 0x99, 0x9a, 0x9b, 0x9c, 0x9d, 0x9e, 0x9f,0xa0, 0xa1, 0xa2, 0xa3, 0xa4, 0xa5, 0xa6, 0xa7, 0xa8, 0xa9, 0xaa, 0xab, 0xac, 0xad, 0xae, 0xaf,0xb0, 0xb1, 0xb2, 0xb3, 0xb4, 0xb5, 0xb6, 0xb7, 0xb8, 0xb9, 0xba, 0xbb, 0xbc, 0xbd, 0xbe, 0xbf,0xc0, 0xc1, 0xc2, 0xc3, 0xc4, 0xc5, 0xc6, 0xc7, 0xc8, 0xc9, 0xca, 0xcb, 0xcc, 0xcd, 0xce, 0xcf,0xd0, 0xd1, 0xd2, 0xd3, 0xd4, 0xd5, 0xd6, 0xd7, 0xd8, 0xd9, 0xda, 0xdb, 0xdc, 0xdd, 0xde, 0xdf,0xe0, 0xe1, 0xe2, 0xe3, 0xe4, 0xe5, 0xe6, 0xe7, 0xe8, 0xe9, 0xea, 0xeb, 0xec, 0xed, 0xee, 0xef,0xf0, 0xf1, 0xf2, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7, 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0xfe, 0xff};static constexpr byte Mul_02[256] = {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};static constexpr byte Mul_03[256] = {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};static constexpr byte Mul_09[256] = {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};static constexpr byte Mul_0b[256] = {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};static constexpr byte Mul_0d[256] = {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};static constexpr byte Mul_0e[256] = {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};static constexpr word Rcon[16] = {0x00000000, 0x01000000, 0x02000000, 0x04000000,0x08000000, 0x10000000, 0x20000000, 0x40000000,0x80000000, 0x1b000000, 0x36000000, 0x6c000000,0xd8000000, 0xab000000, 0xed000000, 0x9a000000};void ByteSub();void ShiftRow();void MixColumn();void InvByteSub();void InvShiftRow();void InvMixColumn();void AddRoundKey(word *ExpandedKey, int i);byte GFMul(byte a, byte b);word SubByte(word in);word RotByte(word in);word toWord(byte k1, byte k2, byte k3, byte k4);void toBytes(word in, byte res[4]);virtual void KeyExpansion() = 0;virtual void clear() = 0;public:byte plain[4 * Nb]{};byte cipher[4 * Nb]{};byte state[4 * Nb]{};byte RoundKey[16]{};virtual void Encrypt() = 0;virtual void Decrypt() = 0;virtual void init(byte in[16], byte in_key[16], bool type) = 0;};class aes128 : public aes {private:static constexpr int Nr = 10;static constexpr int Nk = 4;word w[Nb * (Nr + 1)];void KeyExpansion() override;void clear() override;public:void Encrypt() override;void Decrypt() override;void init(byte in[4 * Nb], byte in_key[4 * Nk], bool type) override;byte key[4 * Nk];};class aes192 : public aes {private:static constexpr int Nr = 12;static constexpr int Nk = 6;word w[Nb * (Nr + 1)];void KeyExpansion() override;void clear() override;public:void Encrypt() override;void Decrypt() override;void init(byte in[4 * Nb], byte in_key[4 * Nk], bool type) override;byte key[4 * Nk];};class aes256 : public aes {private:static constexpr int Nr = 14;static constexpr int Nk = 8;word w[Nb * (Nr + 1)];void KeyExpansion() override;void clear() override;public:void Encrypt() override;void Decrypt() override;void init(byte in[4 * Nb], byte in_key[4 * Nk], bool type) override;byte key[4 * Nk];};
}
aes.cpp:
#include "aes.h"namespace crypto {void aes128::clear() {memset(w, 0, sizeof(w));memset(state, 0, sizeof(state));}void aes128::init(crypto::byte *in, crypto::byte *in_key, bool type) {memset(key, 0, sizeof(key));memset(plain, 0, sizeof(plain));memset(cipher, 0, sizeof(cipher));clear();if (type) {for (int i = 0; i < 4 * Nb; ++i) {plain[i] = in[i];}} else {for (int i = 0; i < 4 * Nb; ++i) {cipher[i] = in[i];}}for (int i = 0; i < 4 * Nk; ++i) {key[i] = in_key[i];}}void aes192::clear() {memset(w, 0, sizeof(w));memset(state, 0, sizeof(state));}void aes192::init(crypto::byte *in, crypto::byte *in_key, bool type) {memset(key, 0, sizeof(key));memset(plain, 0, sizeof(plain));memset(cipher, 0, sizeof(cipher));clear();if (type) {for (int i = 0; i < 4 * Nb; ++i) {plain[i] = in[i];}} else {for (int i = 0; i < 4 * Nb; ++i) {cipher[i] = in[i];}}for (int i = 0; i < 4 * Nk; ++i) {key[i] = in_key[i];}}void aes256::clear() {memset(w, 0, sizeof(w));memset(state, 0, sizeof(state));}void aes256::init(crypto::byte *in, crypto::byte *in_key, bool type) {memset(key, 0, sizeof(key));memset(plain, 0, sizeof(plain));memset(cipher, 0, sizeof(cipher));clear();if (type) {for (int i = 0; i < 4 * Nb; ++i) {plain[i] = in[i];}} else {for (int i = 0; i < 4 * Nb; ++i) {cipher[i] = in[i];}}for (int i = 0; i < 4 * Nk; ++i) {key[i] = in_key[i];}}word aes::toWord(crypto::byte k1, crypto::byte k2, crypto::byte k3, crypto::byte k4) {word res;res = (k1 << 24) | (k2 << 16) | (k3 << 8) | (k4);return res;}void aes::toBytes(crypto::word in, crypto::byte *res) {word tmp = in;for (int i = 3; i >= 0; --i) {res[i] = tmp % 256;tmp /= 256;}}byte aes::GFMul(crypto::byte a, crypto::byte b) {switch (a) {case 0x01:return Mul_01[b];case 0x02:return Mul_02[b];case 0x03:return Mul_03[b];case 0x09:return Mul_09[b];case 0x0b:return Mul_0b[b];case 0x0d:return Mul_0d[b];case 0x0e:return Mul_0e[b];}}void aes::ByteSub() {for (auto &i:state) {i = S_Box[i];}}void aes::ShiftRow() {for (int i = 1; i < Nb; ++i) {for (int j = 0; j < i; ++j) {byte tmp = state[i];state[i + 0 * 4] = state[i + (0 + 1) * 4];state[i + 1 * 4] = state[i + (1 + 1) * 4];state[i + 2 * 4] = state[i + (2 + 1) * 4];state[i + 3 * 4] = tmp;}}}void aes::MixColumn() {const byte y[16] = {0x02, 0x03, 0x01, 0x01,0x01, 0x02, 0x03, 0x01,0x01, 0x01, 0x02, 0x03,0x03, 0x01, 0x01, 0x02};byte arr[4];for (int i = 0; i < 4; ++i) {for (int k = 0; k < 4; ++k) {arr[k] = 0;for (int j = 0; j < 4; ++j) {arr[k] = arr[k] ^ GFMul(y[k * 4 + j], state[i * 4 + j]);}}for (int k = 0; k < 4; ++k) {state[i * 4 + k] = arr[k];}}}void aes::AddRoundKey(word *ExpandedKey, int i) {toBytes(ExpandedKey[Nb * i + 0], RoundKey + 0 * Nb);toBytes(ExpandedKey[Nb * i + 1], RoundKey + 1 * Nb);toBytes(ExpandedKey[Nb * i + 2], RoundKey + 2 * Nb);toBytes(ExpandedKey[Nb * i + 3], RoundKey + 3 * Nb);for (int k = 0; k < Nb * 4; ++k) {state[k] = state[k] ^ RoundKey[k];}}void aes::InvByteSub() {for (auto &i:state) {i = Inv_S_Box[i];}}void aes::InvShiftRow() {for (int i = 1; i < Nb; i++) {for (int j = 0; j < Nb - i; ++j) {byte tmp = state[i];state[i + 0 * 4] = state[i + (0 + 1) * 4];state[i + 1 * 4] = state[i + (1 + 1) * 4];state[i + 2 * 4] = state[i + (2 + 1) * 4];state[i + 3 * 4] = tmp;}}}void aes::InvMixColumn() {const byte y[16] = {0x0e, 0x0b, 0x0d, 0x09,0x09, 0x0e, 0x0b, 0x0d,0x0d, 0x09, 0x0e, 0x0b,0x0b, 0x0d, 0x09, 0x0e};byte arr[4];for (int i = 0; i < Nb; ++i) {for (int k = 0; k < 4; ++k) {arr[k] = 0;for (int j = 0; j < 4; ++j) {arr[k] = arr[k] ^ GFMul(y[k * 4 + j], state[i * 4 + j]);}}for (int k = 0; k < 4; ++k) {state[i * 4 + k] = arr[k];}}}word aes::SubByte(crypto::word in) {word res;byte arr[4];toBytes(in, arr);res = toWord(S_Box[arr[0]], S_Box[arr[1]], S_Box[arr[2]], S_Box[arr[3]]);return res;}word aes::RotByte(crypto::word in) {word res;byte arr[4];toBytes(in, arr);res = toWord(arr[1], arr[2], arr[3], arr[0]);return res;}void aes128::KeyExpansion() {for (int i = 0; i < Nk; ++i) {w[i] = toWord(key[4 * i], key[4 * i + 1], key[4 * i + 2], key[4 * i + 3]);}for (int i = Nk; i < Nb * (Nr + 1); ++i) {auto temp = w[i - 1];if (i % Nk == 0) {temp = SubByte(RotByte(temp)) ^ Rcon[i / Nk];}w[i] = w[i - Nk] ^ temp;}}void aes128::Encrypt() {clear();for (int i = 0; i < 4 * Nb; ++i) {state[i] = plain[i];}KeyExpansion();for (int i = 0; i <= Nr; ++i) {if (i > 0) {ByteSub();ShiftRow();if (i < Nr) {MixColumn();}}AddRoundKey(w, i);}for (int i = 0; i < 4 * Nb; ++i) {cipher[i] = state[i];}}void aes128::Decrypt() {clear();for (int i = 0; i < 4 * Nb; ++i) {state[i] = cipher[i];}KeyExpansion();for (int i = Nr; i >= 0; --i) {AddRoundKey(w, i);if (i > 0) {if (i < Nr) {InvMixColumn();}InvShiftRow();InvByteSub();}}for (int i = 0; i < 4 * Nb; ++i) {plain[i] = state[i];}}void aes192::KeyExpansion() {for (int i = 0; i < Nk; ++i) {w[i] = toWord(key[4 * i], key[4 * i + 1], key[4 * i + 2], key[4 * i + 3]);}for (int i = Nk; i < Nb * (Nr + 1); ++i) {auto temp = w[i - 1];if (i % Nk == 0) {temp = SubByte(RotByte(temp)) ^ Rcon[i / Nk];}w[i] = w[i - Nk] ^ temp;}}void aes192::Encrypt() {clear();for (int i = 0; i < 4 * Nb; ++i) {state[i] = plain[i];}KeyExpansion();for (int i = 0; i <= Nr; ++i) {if (i > 0) {ByteSub();ShiftRow();if (i < Nr) {MixColumn();}}AddRoundKey(w, i);}for (int i = 0; i < 4 * Nb; ++i) {cipher[i] = state[i];}}void aes192::Decrypt() {clear();for (int i = 0; i < 4 * Nb; ++i) {state[i] = cipher[i];}KeyExpansion();for (int i = Nr; i >= 0; --i) {AddRoundKey(w, i);if (i > 0) {if (i < Nr) {InvMixColumn();}InvShiftRow();InvByteSub();}}for (int i = 0; i < 4 * Nb; ++i) {plain[i] = state[i];}}void aes256::KeyExpansion() {for (int i = 0; i < Nk; ++i) {w[i] = toWord(key[4 * i], key[4 * i + 1], key[4 * i + 2], key[4 * i + 3]);}for (int i = Nk; i < Nb * (Nr + 1); ++i) {auto temp = w[i - 1];if (i % Nk == 0) {temp = SubByte(RotByte(temp)) ^ Rcon[i / Nk];} else if (i % Nk == 4) {temp = SubByte(temp);}w[i] = w[i - Nk] ^ temp;}}void aes256::Encrypt() {clear();for (int i = 0; i < 4 * Nb; ++i) {state[i] = plain[i];}KeyExpansion();for (int i = 0; i <= Nr; ++i) {if (i > 0) {ByteSub();ShiftRow();if (i < Nr) {MixColumn();}}AddRoundKey(w, i);}for (int i = 0; i < 4 * Nb; ++i) {cipher[i] = state[i];}}void aes256::Decrypt() {clear();for (int i = 0; i < 4 * Nb; ++i) {state[i] = cipher[i];}KeyExpansion();for (int i = Nr; i >= 0; --i) {AddRoundKey(w, i);if (i > 0) {if (i < Nr) {InvMixColumn();}InvShiftRow();InvByteSub();}}for (int i = 0; i < 4 * Nb; ++i) {plain[i] = state[i];}}
}
test.cpp
#include <iostream>
#include <cstdio>
#include <cstddef>
#include "aes.h"int main(int argc, char **argv) {crypto::aes256 test;crypto::byte key[] = {0x00, 0x01, 0x02, 0x03,0x04, 0x05, 0x06, 0x07,0x08, 0x09, 0x0a, 0x0b,0x0c, 0x0d, 0x0e, 0x0f,0x10, 0x11, 0x12, 0x13,0x14, 0x15, 0x16, 0x17,0x18, 0x19, 0x1a, 0x1b,0x1c, 0x1d, 0x1e, 0x1f};crypto::byte plain[16] = {0x00, 0x11, 0x22, 0x33,0x44, 0x55, 0x66, 0x77,0x88, 0x99, 0xaa, 0xbb,0xcc, 0xdd, 0xee, 0xff};test.init(plain, key, true);printf("Key:n");for (auto &i:test.key) {printf("%02x ", i);}printf("n");printf("Plain Text:n");for (auto &i:test.plain) {printf("%02x ", i);}printf("n");test.Encrypt();printf("Cipher Text:n");for (auto &i:test.cipher) {printf("%02x ", i);}printf("n");test.Decrypt();printf("Decrypt Plain Text:n");for (auto &i:test.plain) {printf("%02x ", i);}printf("n");return 0;
}
编译指令：gcc -o test.exe test.cpp aes.cpp
输出：
Key:
00 01 02 03 04 05 06 07 08 09 0a 0b 0c 0d 0e 0f 10 11 12 13 14 15 16 17 18 19 1a 1b 1c 1d 1e 1f
Plain Text:
00 11 22 33 44 55 66 77 88 99 aa bb cc dd ee ff
Cipher Text:
8e a2 b7 ca 51 67 45 bf ea fc 49 90 4b 49 60 89
Decrypt Plain Text:
00 11 22 33 44 55 66 77 88 99 aa bb cc dd ee ff参考资料：
matt-wu: AES
The Rijndeal Block Cipher
文章首发于：
http://www.listener1379.top/Algorithm/Encryption/aes-encryption/www.listener1379.top
支付宝扫一扫
微信扫一扫
.png)
.png)
.png)
.png)
