aes.hpp

#ifndef _AES_H_
#define _AES_H_

#include <cstdio>
#include <cstring>
#include <iostream>
#include <stdexcept>
#include <string>
#include <vector>

enum class AESKeyLength { AES_128, AES_192, AES_256 };

class AES {
private:
    static constexpr unsigned int Nb = 4;
    static constexpr unsigned int blockBytesLen = 4 * Nb * sizeof(unsigned char);

    unsigned int Nk;
    unsigned int Nr;

    void SubBytes(unsigned char state[4][Nb]);

    void ShiftRow(unsigned char state[4][Nb], unsigned int i,
        unsigned int n);  // shift row i on n positions

    void ShiftRows(unsigned char state[4][Nb]);

    unsigned char xtime(unsigned char b);  // multiply on x

    void MixColumns(unsigned char state[4][Nb]);

    void AddRoundKey(unsigned char state[4][Nb], unsigned char* key);

    void SubWord(unsigned char* a);

    void RotWord(unsigned char* a);

    void XorWords(unsigned char* a, unsigned char* b, unsigned char* c);

    void Rcon(unsigned char* a, unsigned int n);

    void InvSubBytes(unsigned char state[4][Nb]);

    void InvMixColumns(unsigned char state[4][Nb]);

    void InvShiftRows(unsigned char state[4][Nb]);

    void CheckLength(unsigned int len);

    void KeyExpansion(const unsigned char key[], unsigned char w[]);

    void EncryptBlock(const unsigned char in[], unsigned char out[],
        unsigned char key[]);

    void DecryptBlock(const unsigned char in[], unsigned char out[],
        unsigned char key[]);

    void XorBlocks(const unsigned char* a, const unsigned char* b,
        unsigned char* c, unsigned int len);

    std::vector<unsigned char> ArrayToVector(unsigned char* a, unsigned int len);

    unsigned char* VectorToArray(std::vector<unsigned char>& a);

public:
    explicit AES(const AESKeyLength keyLength = AESKeyLength::AES_256);

    unsigned char* EncryptECB(const unsigned char in[], unsigned int inLen,
        const unsigned char key[]);

    unsigned char* DecryptECB(const unsigned char in[], unsigned int inLen,
        const unsigned char key[]);

    unsigned char* EncryptCBC(const unsigned char in[], unsigned int inLen,
        const unsigned char key[], const unsigned char* iv);

    unsigned char* DecryptCBC(const unsigned char in[], unsigned int inLen,
        const unsigned char key[], const unsigned char* iv);

    unsigned char* EncryptCFB(const unsigned char in[], unsigned int inLen,
        const unsigned char key[], const unsigned char* iv);

    unsigned char* DecryptCFB(const unsigned char in[], unsigned int inLen,
        const unsigned char key[], const unsigned char* iv);

    std::vector<unsigned char> EncryptECB(std::vector<unsigned char> in,
        std::vector<unsigned char> key);

    std::vector<unsigned char> DecryptECB(std::vector<unsigned char> in,
        std::vector<unsigned char> key);

    std::vector<unsigned char> EncryptCBC(std::vector<unsigned char> in,
        std::vector<unsigned char> key,
        std::vector<unsigned char> iv);

    std::vector<unsigned char> DecryptCBC(std::vector<unsigned char> in,
        std::vector<unsigned char> key,
        std::vector<unsigned char> iv);

    std::vector<unsigned char> EncryptCFB(std::vector<unsigned char> in,
        std::vector<unsigned char> key,
        std::vector<unsigned char> iv);

    std::vector<unsigned char> DecryptCFB(std::vector<unsigned char> in,
        std::vector<unsigned char> key,
        std::vector<unsigned char> iv);

    void printHexArray(unsigned char a[], unsigned int n);

    void printHexVector(std::vector<unsigned char> a);
};

const unsigned char 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} };

const unsigned char inv_sbox[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} };

/// Galois Multiplication lookup tables
static const unsigned char GF_MUL_TABLE[15][256] = {
    {},
    {},

    // mul 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},

     // mul 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},

     {},
     {},
     {},
     {},
     {},

     // mul 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},

     {},

     // mul 11
     {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},

     {},

     // mul 13
     {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},

      // mul 14
      {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} };

/// circulant MDS matrix
static const unsigned char CMDS[4][4] = {
    {2, 3, 1, 1}, {1, 2, 3, 1}, {1, 1, 2, 3}, {3, 1, 1, 2} };

/// Inverse circulant MDS matrix
static const unsigned char INV_CMDS[4][4] = {
    {14, 11, 13, 9}, {9, 14, 11, 13}, {13, 9, 14, 11}, {11, 13, 9, 14} };

#endif