python - 在AES解密中将三个状态组合成一轮
问题描述
我正在编写一个关于 AES 加密的程序。
为了获得更快的AES加密和解密速度，可以将AES的三种状态（子字节、移位行和混合列）组合成一个循环状态。
我可以成功地将这三种状态组合成一轮 AES 加密（它可以使用原始流 AES 解密进行解密），但是对于 AES 解密我无法获得原始数据。
我认为这是因为解密的流程。在解密中，首先移位行和子字节，然后是添加轮和混合列。因此，移位行、子字节和混合列是不连续的。
我的代码在这里：
"""Tham module provides encrypting/decrypting according AES(128) standard.
Based on Rijndael algorithm, AES uses 4 transformation for encrypting: SubSytes(), ShiftRows(),
MixColumns() and AddRoundKey(). For decrypting it uses inverse functions of that fout.
Detales you can read here:
http://csrc.nist.gov/publications/fips/fips197/fips-197.pdf
or here:
http://en.wikipedia.org/wiki/Advanced_Encryption_Standard
or here:
http://www.cs.bc.edu/~straubin/cs381-05/blockciphers/rijndael_ingles2004.swf
or somewhere else.
Comments rather won't help if don't read documentation of the algorithm.
"""
nb = 4 # number of column of State (for AES = 4)
nr = 14 # number of rounds ib cipher cycle (if nb = 4 nr = 10)
nk = 8 # the key length (in 32-bit words)
# This dict will be used in SubBytes().
hex_symbols_to_int = {'a': 10, 'b': 11, 'c': 12, 'd': 13, 'e': 14, 'f': 15}
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
]
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
]
rcon = [[0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x1b, 0x36, 0x6c, 0xd8, 0xab, 0x4d],
[0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00],
[0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00],
[0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
]
Xtime2Sbox = [
0xc6, 0xf8, 0xee, 0xf6, 0xff, 0xd6, 0xde, 0x91, 0x60, 0x02, 0xce, 0x56, 0xe7, 0xb5, 0x4d, 0xec,
0x8f, 0x1f, 0x89, 0xfa, 0xef, 0xb2, 0x8e, 0xfb, 0x41, 0xb3, 0x5f, 0x45, 0x23, 0x53, 0xe4, 0x9b,
0x75, 0xe1, 0x3d, 0x4c, 0x6c, 0x7e, 0xf5, 0x83, 0x68, 0x51, 0xd1, 0xf9, 0xe2, 0xab, 0x62, 0x2a,
0x08, 0x95, 0x46, 0x9d, 0x30, 0x37, 0x0a, 0x2f, 0x0e, 0x24, 0x1b, 0xdf, 0xcd, 0x4e, 0x7f, 0xea,
0x12, 0x1d, 0x58, 0x34, 0x36, 0xdc, 0xb4, 0x5b, 0xa4, 0x76, 0xb7, 0x7d, 0x52, 0xdd, 0x5e, 0x13,
0xa6, 0xb9, 0x00, 0xc1, 0x40, 0xe3, 0x79, 0xb6, 0xd4, 0x8d, 0x67, 0x72, 0x94, 0x98, 0xb0, 0x85,
0xbb, 0xc5, 0x4f, 0xed, 0x86, 0x9a, 0x66, 0x11, 0x8a, 0xe9, 0x04, 0xfe, 0xa0, 0x78, 0x25, 0x4b,
0xa2, 0x5d, 0x80, 0x05, 0x3f, 0x21, 0x70, 0xf1, 0x63, 0x77, 0xaf, 0x42, 0x20, 0xe5, 0xfd, 0xbf,
0x81, 0x18, 0x26, 0xc3, 0xbe, 0x35, 0x88, 0x2e, 0x93, 0x55, 0xfc, 0x7a, 0xc8, 0xba, 0x32, 0xe6,
0xc0, 0x19, 0x9e, 0xa3, 0x44, 0x54, 0x3b, 0x0b, 0x8c, 0xc7, 0x6b, 0x28, 0xa7, 0xbc, 0x16, 0xad,
0xdb, 0x64, 0x74, 0x14, 0x92, 0x0c, 0x48, 0xb8, 0x9f, 0xbd, 0x43, 0xc4, 0x39, 0x31, 0xd3, 0xf2,
0xd5, 0x8b, 0x6e, 0xda, 0x01, 0xb1, 0x9c, 0x49, 0xd8, 0xac, 0xf3, 0xcf, 0xca, 0xf4, 0x47, 0x10,
0x6f, 0xf0, 0x4a, 0x5c, 0x38, 0x57, 0x73, 0x97, 0xcb, 0xa1, 0xe8, 0x3e, 0x96, 0x61, 0x0d, 0x0f,
0xe0, 0x7c, 0x71, 0xcc, 0x90, 0x06, 0xf7, 0x1c, 0xc2, 0x6a, 0xae, 0x69, 0x17, 0x99, 0x3a, 0x27,
0xd9, 0xeb, 0x2b, 0x22, 0xd2, 0xa9, 0x07, 0x33, 0x2d, 0x3c, 0x15, 0xc9, 0x87, 0xaa, 0x50, 0xa5,
0x03, 0x59, 0x09, 0x1a, 0x65, 0xd7, 0x84, 0xd0, 0x82, 0x29, 0x5a, 0x1e, 0x7b, 0xa8, 0x6d, 0x2c
]
Xtime3Sbox = [
0xa5, 0x84, 0x99, 0x8d, 0x0d, 0xbd, 0xb1, 0x54, 0x50, 0x03, 0xa9, 0x7d, 0x19, 0x62, 0xe6, 0x9a,
0x45, 0x9d, 0x40, 0x87, 0x15, 0xeb, 0xc9, 0x0b, 0xec, 0x67, 0xfd, 0xea, 0xbf, 0xf7, 0x96, 0x5b,
0xc2, 0x1c, 0xae, 0x6a, 0x5a, 0x41, 0x02, 0x4f, 0x5c, 0xf4, 0x34, 0x08, 0x93, 0x73, 0x53, 0x3f,
0x0c, 0x52, 0x65, 0x5e, 0x28, 0xa1, 0x0f, 0xb5, 0x09, 0x36, 0x9b, 0x3d, 0x26, 0x69, 0xcd, 0x9f,
0x1b, 0x9e, 0x74, 0x2e, 0x2d, 0xb2, 0xee, 0xfb, 0xf6, 0x4d, 0x61, 0xce, 0x7b, 0x3e, 0x71, 0x97,
0xf5, 0x68, 0x00, 0x2c, 0x60, 0x1f, 0xc8, 0xed, 0xbe, 0x46, 0xd9, 0x4b, 0xde, 0xd4, 0xe8, 0x4a,
0x6b, 0x2a, 0xe5, 0x16, 0xc5, 0xd7, 0x55, 0x94, 0xcf, 0x10, 0x06, 0x81, 0xf0, 0x44, 0xba, 0xe3,
0xf3, 0xfe, 0xc0, 0x8a, 0xad, 0xbc, 0x48, 0x04, 0xdf, 0xc1, 0x75, 0x63, 0x30, 0x1a, 0x0e, 0x6d,
0x4c, 0x14, 0x35, 0x2f, 0xe1, 0xa2, 0xcc, 0x39, 0x57, 0xf2, 0x82, 0x47, 0xac, 0xe7, 0x2b, 0x95,
0xa0, 0x98, 0xd1, 0x7f, 0x66, 0x7e, 0xab, 0x83, 0xca, 0x29, 0xd3, 0x3c, 0x79, 0xe2, 0x1d, 0x76,
0x3b, 0x56, 0x4e, 0x1e, 0xdb, 0x0a, 0x6c, 0xe4, 0x5d, 0x6e, 0xef, 0xa6, 0xa8, 0xa4, 0x37, 0x8b,
0x32, 0x43, 0x59, 0xb7, 0x8c, 0x64, 0xd2, 0xe0, 0xb4, 0xfa, 0x07, 0x25, 0xaf, 0x8e, 0xe9, 0x18,
0xd5, 0x88, 0x6f, 0x72, 0x24, 0xf1, 0xc7, 0x51, 0x23, 0x7c, 0x9c, 0x21, 0xdd, 0xdc, 0x86, 0x85,
0x90, 0x42, 0xc4, 0xaa, 0xd8, 0x05, 0x01, 0x12, 0xa3, 0x5f, 0xf9, 0xd0, 0x91, 0x58, 0x27, 0xb9,
0x38, 0x13, 0xb3, 0x33, 0xbb, 0x70, 0x89, 0xa7, 0xb6, 0x22, 0x92, 0x20, 0x49, 0xff, 0x78, 0x7a,
0x8f, 0xf8, 0x80, 0x17, 0xda, 0x31, 0xc6, 0xb8, 0xc3, 0xb0, 0x77, 0x11, 0xcb, 0xfc, 0xd6, 0x3a
]
Xtime2 = [
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
]
Xtime3 = [
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
]
Xtime9 = [
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]
Xtime11=[
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
]
Xtime13 = [
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
]
Xtime14 = [
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
]
def encrypt(input_bytes, key):
state = [[] for j in range(4)] # [[],[],[],[]]
for r in range(4):
for c in range(nb):
state[r].append(input_bytes[r + 4 * c]) # 4x4 list
key_schedule = key_expansion(key) # a list of four lists of 44 int list
state = add_round_key(state, key_schedule)
for rnd in range(1, nr):
state = mixSubColumn(state)
state = add_round_key(state, key_schedule, rnd)
state = subshift(state)
state = add_round_key(state, key_schedule, rnd + 1)
output = [None for i in range(4 * nb)]
for r in range(4):
for c in range(nb):
output[r + 4 * c] = state[r][c]
return output
def decrypt(cipher, key):
state = [[] for i in range(nb)]
for r in range(4):
for c in range(nb):
state[r].append(cipher[r + 4 * c])
key_schedule = key_expansion(key)
state = add_round_key(state, key_schedule, nr)
rnd = nr - 1
while rnd >= 1:
state = inv_subshift(state)
state = add_round_key(state, key_schedule, rnd)
state = mix_columns(state)
rnd -= 1
state = inv_subshift(state)
state = add_round_key(state, key_schedule, rnd)
output = [None for i in range(4 * nb)]
for r in range(4):
for c in range(nb):
output[r + 4 * c] = state[r][c]
return output
def subshift(state):
state[0][0] = sbox[state[0][0]]
state[0][1] = sbox[state[0][1]]
state[0][2] = sbox[state[0][2]]
state[0][3] = sbox[state[0][3]]
tmp = sbox[state[1][0]]
state[1][0] = sbox[state[1][1]]
state[1][1] = sbox[state[1][2]]
state[1][2] = sbox[state[1][3]]
state[1][3] = tmp
tmp = sbox[state[2][0]]
state[2][0] = sbox[state[2][2]]
state[2][2] = tmp
tmp = sbox[state[2][1]]
state[2][1] = sbox[state[2][3]]
state[2][3] = tmp
tmp = sbox[state[3][3]]
state[3][3] = sbox[state[3][2]]
state[3][2] = sbox[state[3][1]]
state[3][1] = sbox[state[3][0]]
state[3][0] = tmp
return state
def mixSubColumn(state):
tmp = [x[:] for x in state]
state[0][0] = Xtime2Sbox[tmp[0][0]] ^ Xtime3Sbox[tmp[1][1]] ^ sbox[tmp[2][2]] ^ sbox[tmp[3][3]]
state[1][0] = sbox[tmp[0][0]] ^ Xtime2Sbox[tmp[1][1]] ^ Xtime3Sbox[tmp[2][2]] ^ sbox[tmp[3][3]]
state[2][0] = sbox[tmp[0][0]] ^ sbox[tmp[1][1]] ^ Xtime2Sbox[tmp[2][2]] ^ Xtime3Sbox[tmp[3][3]]
state[3][0] = Xtime3Sbox[tmp[0][0]] ^ sbox[tmp[1][1]] ^ sbox[tmp[2][2]] ^ Xtime2Sbox[tmp[3][3]]
state[0][1] = Xtime2Sbox[tmp[0][1]] ^ Xtime3Sbox[tmp[1][2]] ^ sbox[tmp[2][3]] ^ sbox[tmp[3][0]]
state[1][1] = sbox[tmp[0][1]] ^ Xtime2Sbox[tmp[1][2]] ^ Xtime3Sbox[tmp[2][3]] ^ sbox[tmp[3][0]]
state[2][1] = sbox[tmp[0][1]] ^ sbox[tmp[1][2]] ^ Xtime2Sbox[tmp[2][3]] ^ Xtime3Sbox[tmp[3][0]]
state[3][1] = Xtime3Sbox[tmp[0][1]] ^ sbox[tmp[1][2]] ^ sbox[tmp[2][3]] ^ Xtime2Sbox[tmp[3][0]]
state[0][2] = Xtime2Sbox[tmp[0][2]] ^ Xtime3Sbox[tmp[1][3]] ^ sbox[tmp[2][0]] ^ sbox[tmp[3][1]]
state[1][2]= sbox[tmp[0][2]] ^ Xtime2Sbox[tmp[1][3]] ^ Xtime3Sbox[tmp[2][0]] ^ sbox[tmp[3][1]]
state[2][2] = sbox[tmp[0][2]] ^ sbox[tmp[1][3]] ^ Xtime2Sbox[tmp[2][0]] ^ Xtime3Sbox[tmp[3][1]]
state[3][2] = Xtime3Sbox[tmp[0][2]] ^ sbox[tmp[1][3]] ^ sbox[tmp[2][0]] ^ Xtime2Sbox[tmp[3][1]]
state[0][3] = Xtime2Sbox[tmp[0][3]] ^ Xtime3Sbox[tmp[1][0]] ^ sbox[tmp[2][1]] ^ sbox[tmp[3][2]]
state[1][3] = sbox[tmp[0][3]] ^ Xtime2Sbox[tmp[1][0]] ^ Xtime3Sbox[tmp[2][1]] ^ sbox[tmp[3][2]]
state[2][3] = sbox[tmp[0][3]] ^ sbox[tmp[1][0]] ^ Xtime2Sbox[tmp[2][1]] ^ Xtime3Sbox[tmp[3][2]]
state[3][3] = Xtime3Sbox[tmp[0][3]] ^ sbox[tmp[1][0]] ^ sbox[tmp[2][1]] ^ Xtime2Sbox[tmp[3][2]]
return state
def inv_subshift(state):
state[0][0] = inv_sbox[state[0][0]]
state[0][1] = inv_sbox[state[0][1]]
state[0][2] = inv_sbox[state[0][2]]
state[0][3] = inv_sbox[state[0][3]]
tmp = inv_sbox[state[1][3]]
state[1][3] = inv_sbox[state[1][2]]
state[1][2] = inv_sbox[state[1][1]]
state[1][1] = inv_sbox[state[1][0]]
state[1][0] = tmp
tmp = inv_sbox[state[2][0]]
state[2][0] = inv_sbox[state[2][2]]
state[2][2] = tmp
tmp = inv_sbox[state[2][1]]
state[2][1] = inv_sbox[state[2][3]]
state[2][3] = tmp
tmp = inv_sbox[state[3][0]]
state[3][0] = inv_sbox[state[3][1]]
state[3][1] = inv_sbox[state[3][2]]
state[3][2] = inv_sbox[state[3][3]]
state[3][3] = tmp
return state
def mix_columns(state):
for i in range(nb):
# decryption
s0 = Xtime14[state[0][i]] ^ Xtime11[state[1][i]] ^ Xtime13[state[2][i]] ^ Xtime9[state[3][i]]
s1 = Xtime9[state[0][i]] ^ Xtime14[state[1][i]] ^ Xtime11[state[2][i]] ^ Xtime13[state[3][i]]
s2 = Xtime13[state[0][i]] ^ Xtime9[state[1][i]] ^ Xtime14[state[2][i]] ^ Xtime11[state[3][i]]
s3 = Xtime11[state[0][i]] ^ Xtime13[state[1][i]] ^ Xtime9[state[2][i]] ^ Xtime14[state[3][i]]
state[0][i] = s0
state[1][i] = s1
state[2][i] = s2
state[3][i] = s3
return state
def key_expansion(key):
"""It makes list of RoundKeys for function AddRoundKey. All details
about algorithm is is in AES standard
"""
key_symbols = [ord(symbol) for symbol in key]
# CipherKey should contain 16 symbols to fill 4*4 table. If it's less
# complement the key with "0x01"
if len(key_symbols) < 4 * nk:
for i in range(4 * nk - len(key_symbols)):
key_symbols.append(0x01)
elif len(key_symbols) > 4 * nk:
key_symbols = key_symbols[:4*nk]
# make ChipherKey(which is base of KeySchedule)
key_schedule = [[] for i in range(4)]
for r in range(4):
for c in range(nk):
key_schedule[r].append(key_symbols[r + 4 * c])
# Continue to fill KeySchedule
for col in range(nk, nb * (nr + 1)): # col - column number
if col % nk == 0:
# take shifted (col - 1)th column...
tmp = [key_schedule[row][col - 1] for row in range(1, 4)]
tmp.append(key_schedule[0][col - 1])
# change its elements using Sbox-table like in SubBytes...
for j in range(len(tmp)):
sbox_row = tmp[j] // 0x10
sbox_col = tmp[j] % 0x10
sbox_elem = sbox[16 * sbox_row + sbox_col]
tmp[j] = sbox_elem
# and finally make XOR of 3 columns
for row in range(4):
s = (key_schedule[row][col - 4]) ^ (tmp[row]) ^ (rcon[row][int(col / nk - 1)])
key_schedule[row].append(s)
else:
# just make XOR of 2 columns
for row in range(4):
s = key_schedule[row][col - 4] ^ key_schedule[row][col - 1]
key_schedule[row].append(s)
#print('This is from AES256.')
return key_schedule
def add_round_key(state, key_schedule, round=0):
"""That transformation combines State and KeySchedule together. Xor
of State and RoundSchedule(part of KeySchedule).
"""
for col in range(4):
# nb*round is a shift which indicates start of a part of the KeySchedule
state[0][col] = state[0][col] ^ key_schedule[0][nb * round + col]
state[1][col] = state[1][col] ^ key_schedule[1][nb * round + col]
state[2][col] = state[2][col] ^ key_schedule[2][nb * round + col]
state[3][col] = state[3][col] ^ key_schedule[3][nb * round + col]
return state
（你也可以在这里看到。）
请帮我。
解决方案
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