#include <iostream>
#include <bitset>
#include <string>
#include <fstream>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include<iomanip>
using namespace std;
typedef bitset<8> byte;
typedef bitset<32> word;
const int Nr = 4; // AES-128需要 10 轮加密
const int Nk = 4; // Nk 表示输入密钥的 word 个数
byte S_Box[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 }
};
byte Inv_S_Box[16][16] = {
{ 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 }
};
// 轮常数,密钥扩展中用到。(AES-128只需要10轮)
word Rcon[10] = { 0x01000000, 0x02000000, 0x04000000, 0x08000000, 0x10000000,
0x20000000, 0x40000000, 0x80000000, 0x1b000000, 0x36000000 };
/**********************************************************************/
/* */
/* AES算法实现 */
/* */
/**********************************************************************/
/******************************下面是加密的变换函数**********************/
/**
* S盒变换 - 前4位为行号,后4位为列号
*/
void SubBytes(byte mtx[4 * 4])
{
for (int i = 0; i<16; ++i)
{
int row = mtx[i][7] * 8 + mtx[i][6] * 4 + mtx[i][5] * 2 + mtx[i][4];
int col = mtx[i][3] * 8 + mtx[i][2] * 4 + mtx[i][1] * 2 + mtx[i][0];
mtx[i] = S_Box[row][col];
}
}
/**
* 行变换 - 按字节循环移位
*/
void ShiftRows(byte mtx[4 * 4])
{
// 第二行循环左移一位
byte temp = mtx[4];
for (int i = 0; i<3; ++i)
mtx[i + 4] = mtx[i + 5];
mtx[7] = temp;
// 第三行循环左移两位
for (int i = 0; i<2; ++i)
{
temp = mtx[i + 8];
mtx[i + 8] = mtx[i + 10];
mtx[i + 10] = temp;
}
// 第四行循环左移三位
temp = mtx[15];
for (int i = 3; i>0; --i)
mtx[i + 12] = mtx[i + 11];
mtx[12] = temp;
}
/**
* 有限域上的乘法 GF(2^8)
*/
byte GFMul(byte a, byte b) {
byte p = 0;
byte hi_bit_set;
for (int counter = 0; counter < 8; counter++) {
if ((b & byte(1)) != 0) {
p ^= a;
}
hi_bit_set = (byte)(a & byte(0x80));
a <<= 1;
if (hi_bit_set != 0) {
a ^= 0x1b; /* x^8 + x^4 + x^3 + x + 1 */
}
b >>= 1;
}
return p;
}
/**
* 列变换
*/
void MixColumns(byte mtx[4 * 4])
{
byte arr[4];
for (int i = 0; i<4; ++i)
{
for (int j = 0; j<4; ++j)
arr[j] = mtx[i + j * 4];
mtx[i] = GFMul(0x02, arr[0]) ^ GFMul(0x03, arr[1]) ^ arr[2] ^ arr[3];
mtx[i + 4] = arr[0] ^ GFMul(0x02, arr[1]) ^ GFMul(0x03, arr[2]) ^ arr[3];
mtx[i + 8] = arr[0] ^ arr[1] ^ GFMul(0x02, arr[2]) ^ GFMul(0x03, arr[3]);
mtx[i + 12] = GFMul(0x03, arr[0]) ^ arr[1] ^ arr[2] ^ GFMul(0x02, arr[3]);
}
}
/**
* 轮密钥加变换 - 将每一列与扩展密钥进行异或
*/
void AddRoundKey(byte mtx[4 * 4], word k[4])
{
for (int i = 0; i<4; ++i)
{
word k1 = k[i] >> 24;
word k2 = (k[i] << 8) >> 24;
word k3 = (k[i] << 16) >> 24;
word k4 = (k[i] << 24) >> 24;
mtx[i] = mtx[i] ^ byte(k1.to_ulong());
mtx[i + 4] = mtx[i + 4] ^ byte(k2.to_ulong());
mtx[i + 8] = mtx[i + 8] ^ byte(k3.to_ulong());
mtx[i + 12] = mtx[i + 12] ^ byte(k4.to_ulong());
}
}
/**************************下面是解密的逆变换函数***********************/
/**
* 逆S盒变换
*/
void InvSubBytes(byte mtx[4 * 4])
{
for (int i = 0; i<16; ++i)
{
int row = mtx[i][7] * 8 + mtx[i][6] * 4 + mtx[i][5] * 2 + mtx[i][4];
int col = mtx[i][3] * 8 + mtx[i][2] * 4 + mtx[i][1] * 2 + mtx[i][0];
mtx[i] = Inv_S_Box[row][col];
}
}
/**
* 逆行变换 - 以字节为单位循环右移
*/
void InvShiftRows(byte mtx[4 * 4])
{
// 第二行循环右移一位
byte temp = mtx[7];
for (int i = 3; i>0; --i)
mtx[i + 4] = mtx[i + 3];
mtx[4] = temp;
// 第三行循环右移两位
for (int i = 0; i<2; ++i)
{
temp = mtx[i + 8];
mtx[i + 8] = mtx[i + 10];
mtx[i + 10] = temp;
}
// 第四行循环右移三位
temp = mtx[12];
for (int i = 0; i<3; ++i)
mtx[i + 12] = mtx[i + 13];
mtx[15] = temp;
}
void InvMixColumns(byte mtx[4 * 4])
{
byte arr[4];
for (int i = 0; i<4; ++i)
{
for (int j = 0; j<4; ++j)
arr[j] = mtx[i + j * 4];
mtx[i] = GFMul(0x0e, arr[0]) ^ GFMul(0x0b, arr[1]) ^ GFMul(0x0d, arr[2]) ^ GFMul(0x09, arr[3]);
mtx[i + 4] = GFMul(0x09, arr[0]) ^ GFMul(0x0e, arr[1]) ^ GFMul(0x0b, arr[2]) ^ GFMul(0x0d, arr[3]);
mtx[i + 8] = GFMul(0x0d, arr[0]) ^ GFMul(0x09, arr[1]) ^ GFMul(0x0e, arr[2]) ^ GFMul(0x0b, arr[3]);
mtx[i + 12] = GFMul(0x0b, arr[0]) ^ GFMul(0x0d, arr[1]) ^ GFMul(0x09, arr[2]) ^ GFMul(0x0e, arr[3]);
}
}
/******************************下面是密钥扩展部分***********************/
/**
* 将4个 byte 转换为一个 word.
*/
word Word(byte& k1, byte& k2, byte& k3, byte& k4)
{
word result(0x00000000);
word temp;
temp = k1.to_ulong(); // K1
temp <<= 24;
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