Source code for lascar.tools.numba_aes

# This file is part of lascar
#
# lascar is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
# GNU Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with this program.  If not, see <https://www.gnu.org/licenses/>.
#
#
# Copyright 2018 Manuel San Pedro, Victor Servant, Charles Guillemet, Adrian Thillard, Ledger SAS - manuel.sanpedro@ledger.fr, victor.servant@ledger.fr, charles@ledger.fr, adrian.thillard@ledger.fr

"""
This file is an alternative to the Aes class, where every function is JITable by numba.
This allows for faster computations of attacks on intermediate values of the AES (eg. a MixColumns output).
You can use it in any script instead of the Aes class, by importing it:
import lascar.tools.numba_aes as Aes
"""

import numpy as np
from numba import jit

# Aes Sbox
sbox = np.array(
    (
        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,
    ),
    dtype=np.uint8,
)

# Aes Sbox inverse
inv_sbox = np.array(
    (
        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,
    ),
    dtype=np.uint8,
)

# 02 multiplication table
mul2 = np.array(
    (
        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,
    ),
    dtype=np.uint8,
)

# 03 multiplication table
mul3 = np.array(
    (
        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,
    ),
    dtype=np.uint8,
)

# 14 multiplication table
mul14 = np.array(
    (
        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,
    ),
    dtype=np.uint8,
)

# 11 multiplication table
mul11 = np.array(
    (
        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,
    ),
    dtype=np.uint8,
)

# 09 multiplication table
mul9 = np.array(
    (
        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,
    ),
    dtype=np.uint8,
)

# 13 multiplication table
mul13 = np.array(
    (
        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,
    ),
    dtype=np.uint8,
)


# Shiftrows tables:
shiftrows = np.array([0, 5, 10, 15, 4, 9, 14, 3, 8, 13, 2, 7, 12, 1, 6, 11], dtype=np.uint8)
shiftrows_inverse = np.array([0, 13, 10, 7, 4, 1, 14, 11, 8, 5, 2, 15, 12, 9, 6, 3], dtype=np.uint8)


# Rcon contants
rcon = np.array(
    (
        0x8D,
        0x01,
        0x02,
        0x04,
        0x08,
        0x10,
        0x20,
        0x40,
        0x80,
        0x1B,
        0x36,
        0x6C,
        0xD8,
        0xAB,
    ),
    dtype=np.uint8,
)

[docs]@jit(nopython=True) def xor(s1, s2): #zip() doesn't seem to work well with numba and numpy return np.array([s1[i] ^s2[i] for i in range(len(s1))],dtype=np.uint8)
[docs]@jit(nopython=True) def rot_word(word): return np.array(list(word[1:]) + list(word[:1]), dtype=np.uint8)
#return word[1:] + word[:1]
[docs]@jit(nopython=True) def sub_word(word): return np.array([sbox[b] for b in word],dtype=np.uint8)
[docs]@jit(nopython=True) def add_round_key(state, key): return np.array([state[i] ^ key[i] for i in range(16)],dtype=np.uint8)
[docs]@jit(nopython=True) def sub_bytes(state): return np.array([sbox[i] for i in state],dtype=np.uint8)
[docs]@jit(nopython=True) def inverse_sub_bytes(state): return np.array([inv_sbox[i] for i in state],dtype=np.uint8)
[docs]@jit(nopython=True) def shift_rows(state): return np.array([state[s] for s in shiftrows],dtype=np.uint8)
[docs]@jit(nopython=True) def inverse_shift_rows(state): return np.array([state[s] for s in shiftrows_inverse],dtype=np.uint8)
[docs]@jit(nopython=True) def mix_columns(state): for i in range(4): state[4 * i], state[4 * i + 1], state[4 * i + 2], state[4 * i + 3] = mul2[state[4 * i + 0]] ^ mul3[state[4 * i + 1]] ^ state[4 * i + 2] ^ state[4 * i + 3], mul2[state[4 * i + 1]] ^ mul3[state[4 * i + 2]] ^ state[4 * i + 3] ^ state[4 * i + 0], mul2[state[4 * i + 2]] ^ mul3[state[4 * i + 3]] ^ state[4 * i + 0] ^ state[4 * i + 1], mul2[state[4 * i + 3]] ^ mul3[state[4 * i + 0]] ^ state[4 * i + 1] ^ state[4 * i + 2], return state
[docs]@jit(nopython=True) def inverse_mix_columns(state): for i in range(4): state[4 * i], state[4 * i + 1], state[4 * i + 2], state[4 * i + 3] = mul14[state[4 * i + 0]] ^ mul11[state[4 * i + 1]] ^ mul13[state[4 * i + 2]] ^ mul9[state[4 * i + 3]], mul14[state[4 * i + 1]] ^ mul11[state[4 * i + 2]] ^ mul13[state[4 * i + 3]] ^ mul9[state[4 * i + 0]], mul14[state[4 * i + 2]] ^ mul11[state[4 * i + 3]] ^ mul13[state[4 * i + 0]] ^ mul9[state[4 * i + 1]], mul14[state[4 * i + 3]] ^ mul11[state[4 * i + 0]] ^ mul13[state[4 * i + 1]]^ mul9[state[4 * i + 2]] return state
[docs]@jit(nopython=True) def key_schedule(key): if len(key) == 16: nb, nr, nk = 4, 10, 4 elif len(key) == 24: nb, nr, nk = 4, 12, 6 elif len(key) == 32: nb, nr, nk = 4, 14, 8 else: raise ValueError("Invalid key size") expanded = list(key) for i in range(nk, nb * (nr + 1)): t = np.array(expanded[(i - 1) * 4 : i * 4],dtype=np.uint8) if i % nk == 0: t = xor(sub_word(rot_word(t)), np.array([rcon[i // nk], 0, 0, 0],dtype=np.uint8)) elif nk > 6 and i % nk == 4: t = sub_word(t) expanded.extend(xor(t, expanded[(i - nk) * 4 : (i - nk + 1) * 4])) return expanded
[docs]@jit(nopython=True) def encrypt(input, key): nr = 6 + 2 * (len(key) // 8) key_scheduled = key_schedule(key) state = [i for i in input] state = add_round_key(state, key_scheduled[:16]) for i in range(1, nr): state = sub_bytes(state) state = shift_rows(state) state = mix_columns(state) state = add_round_key(state, key_scheduled[i * 16 : (i + 1) * 16]) state = sub_bytes(state) state = shift_rows(state) state = add_round_key(state, key_scheduled[-16:]) return state
[docs]@jit(nopython=True) def encrypt_keep_iv(input, key_scheduled): """ encrypt and keep all intermediate values :param input: :param key_scheduled: :return: """ nr = int(len(key_scheduled) / 16)-1 res = np.empty((1+(nr-1)*4+3+1,16),dtype=np.uint8) #states in the array: P, {ARK,SB,SR,MC}*(nr-1), {ARK,SB,SR}, ARK=C idx = 0 state = [i for i in input] res[idx] = state idx += 1 state = add_round_key(state, key_scheduled[:16]) res[idx] = state idx += 1 for i in range(1, nr): state = sub_bytes(state) res[idx] = state idx += 1 state = shift_rows(state) res[idx] = state idx += 1 state = mix_columns(state) res[idx] = state idx += 1 state = add_round_key(state, key_scheduled[i * 16 : (i + 1) * 16]) res[idx] = state idx += 1 state = sub_bytes(state) res[idx] = state idx += 1 state = shift_rows(state) res[idx] = state idx += 1 state = add_round_key(state, key_scheduled[-16:]) res[idx] = state return res
[docs]@jit(nopython=True) def decrypt(input, key): nr = 6 + 2 * (len(key) // 8) key_scheduled = key_schedule(key) state = [i for i in input] state = add_round_key(state, key_scheduled[-16:]) for i in range(nr - 1, 0, -1): state = inverse_sub_bytes(state) state = inverse_shift_rows(state) state = add_round_key(state, key_scheduled[i * 16 : (i + 1) * 16]) state = inverse_mix_columns(state) state = inverse_sub_bytes(state) state = inverse_shift_rows(state) state = add_round_key(state, key_scheduled[:16]) return state
[docs]@jit(nopython=True) def decrypt_keep_iv(input, key_scheduled): """ decrypt and keep all intermediate values :param input: :param key_scheduled: :return: """ nr = int(len(key_scheduled) / 16) res = np.empty((1+(nr-1)*4+3+1,16),dtype=np.uint8) #states in the array: P, {ARK,SB,SR,MC}*(nr-1), {ARK,SB,SR}, ARK=C idx = 0 state = [i for i in input] res[idx] = state idx += 1 state = add_round_key(state, key_scheduled[-16:]) res += state for i in range(nr - 1, 0, -1): state = inverse_sub_bytes(state) res[idx] = state idx += 1 state = inverse_shift_rows(state) res[idx] = state idx += 1 state = add_round_key(state, key_scheduled[i * 16 : (i + 1) * 16]) res[idx] = state idx += 1 state = inverse_mix_columns(state) res[idx] = state idx += 1 state = inverse_sub_bytes(state) res[idx] = state idx += 1 state = inverse_shift_rows(state) res[idx] = state idx += 1 state = add_round_key(state, key_scheduled[:16]) res[idx] = state return res