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software/rns-0.7.0/RNS/Cryptography/aes/__init__.py Normal file
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from .aes import AES

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software/rns-0.7.0/RNS/Cryptography/aes/aes.py Normal file
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# MIT License
# Copyright (c) 2021 Or Gur Arie
# Permission is hereby granted, free of charge, to any person obtaining a copy
# of this software and associated documentation files (the "Software"), to deal
# in the Software without restriction, including without limitation the rights
# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
# copies of the Software, and to permit persons to whom the Software is
# furnished to do so, subject to the following conditions:
# The above copyright notice and this permission notice shall be included in all
# copies or substantial portions of the Software.
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
# SOFTWARE.
from .utils import *
class AES:
# AES-128 block size
block_size = 16
# AES-128 encrypts messages with 10 rounds
_rounds = 10
# initiate the AES objecy
def __init__(self, key):
"""
Initializes the object with a given key.
"""
# make sure key length is right
assert len(key) == AES.block_size
# ExpandKey
self._round_keys = self._expand_key(key)
# will perform the AES ExpandKey phase
def _expand_key(self, master_key):
"""
Expands and returns a list of key matrices for the given master_key.
"""
# Initialize round keys with raw key material.
key_columns = bytes2matrix(master_key)
iteration_size = len(master_key) // 4
# Each iteration has exactly as many columns as the key material.
i = 1
while len(key_columns) < (self._rounds + 1) * 4:
# Copy previous word.
word = list(key_columns[-1])
# Perform schedule_core once every "row".
if len(key_columns) % iteration_size == 0:
# Circular shift.
word.append(word.pop(0))
# Map to S-BOX.
word = [s_box[b] for b in word]
# XOR with first byte of R-CON, since the others bytes of R-CON are 0.
word[0] ^= r_con[i]
i += 1
elif len(master_key) == 32 and len(key_columns) % iteration_size == 4:
# Run word through S-box in the fourth iteration when using a
# 256-bit key.
word = [s_box[b] for b in word]
# XOR with equivalent word from previous iteration.
word = bytes(i^j for i, j in zip(word, key_columns[-iteration_size]))
key_columns.append(word)
# Group key words in 4x4 byte matrices.
return [key_columns[4*i : 4*(i+1)] for i in range(len(key_columns) // 4)]
# encrypt a single block of data with AES
def _encrypt_block(self, plaintext):
"""
Encrypts a single block of 16 byte long plaintext.
"""
# length of a single block
assert len(plaintext) == AES.block_size
# perform on a matrix
state = bytes2matrix(plaintext)
# AddRoundKey
add_round_key(state, self._round_keys[0])
# 9 main rounds
for i in range(1, self._rounds):
# SubBytes
sub_bytes(state)
# ShiftRows
shift_rows(state)
# MixCols
mix_columns(state)
# AddRoundKey
add_round_key(state, self._round_keys[i])
# last round, w/t AddRoundKey step
sub_bytes(state)
shift_rows(state)
add_round_key(state, self._round_keys[-1])
# return the encrypted matrix as bytes
return matrix2bytes(state)
# decrypt a single block of data with AES
def _decrypt_block(self, ciphertext):
"""
Decrypts a single block of 16 byte long ciphertext.
"""
# length of a single block
assert len(ciphertext) == AES.block_size
# perform on a matrix
state = bytes2matrix(ciphertext)
# in reverse order, last round is first
add_round_key(state, self._round_keys[-1])
inv_shift_rows(state)
inv_sub_bytes(state)
for i in range(self._rounds - 1, 0, -1):
# nain rounds
add_round_key(state, self._round_keys[i])
inv_mix_columns(state)
inv_shift_rows(state)
inv_sub_bytes(state)
# initial AddRoundKey phase
add_round_key(state, self._round_keys[0])
# return bytes
return matrix2bytes(state)
# will encrypt the entire data
def encrypt(self, plaintext, iv):
"""
Encrypts `plaintext` using CBC mode and PKCS#7 padding, with the given
initialization vector (iv).
"""
# iv length must be same as block size
assert len(iv) == AES.block_size
assert len(plaintext) % AES.block_size == 0
ciphertext_blocks = []
previous = iv
for plaintext_block in split_blocks(plaintext):
# in CBC mode every block is XOR'd with the previous block
xorred = xor_bytes(plaintext_block, previous)
# encrypt current block
block = self._encrypt_block(xorred)
previous = block
# append to ciphertext
ciphertext_blocks.append(block)
# return as bytes
return b''.join(ciphertext_blocks)
# will decrypt the entire data
def decrypt(self, ciphertext, iv):
"""
Decrypts `ciphertext` using CBC mode and PKCS#7 padding, with the given
initialization vector (iv).
"""
# iv length must be same as block size
assert len(iv) == AES.block_size
plaintext_blocks = []
previous = iv
for ciphertext_block in split_blocks(ciphertext):
# in CBC mode every block is XOR'd with the previous block
xorred = xor_bytes(previous, self._decrypt_block(ciphertext_block))
# append plaintext
plaintext_blocks.append(xorred)
previous = ciphertext_block
return b''.join(plaintext_blocks)
def test():
# modules and classes requiered for test only
import os
class bcolors:
OK = '\033[92m' #GREEN
WARNING = '\033[93m' #YELLOW
FAIL = '\033[91m' #RED
RESET = '\033[0m' #RESET COLOR
# will test AES class by performing an encryption / decryption
print("AES Tests")
print("=========")
# generate a secret key and print details
key = os.urandom(AES.block_size)
_aes = AES(key)
print(f"Algorithm: AES-CBC-{AES.block_size*8}")
print(f"Secret Key: {key.hex()}")
print()
# test single block encryption / decryption
iv = os.urandom(AES.block_size)
single_block_text = b"SingleBlock Text"
print("Single Block Tests")
print("------------------")
print(f"iv: {iv.hex()}")
print(f"plain text: '{single_block_text.decode()}'")
ciphertext_block = _aes._encrypt_block(single_block_text)
plaintext_block = _aes._decrypt_block(ciphertext_block)
print(f"Ciphertext Hex: {ciphertext_block.hex()}")
print(f"Plaintext: {plaintext_block.decode()}")
assert plaintext_block == single_block_text
print(bcolors.OK + "Single Block Test Passed Successfully" + bcolors.RESET)
print()
# test a less than a block length phrase
iv = os.urandom(AES.block_size)
short_text = b"Just Text"
print("Short Text Tests")
print("----------------")
print(f"iv: {iv.hex()}")
print(f"plain text: '{short_text.decode()}'")
ciphertext_short = _aes.encrypt(short_text, iv)
plaintext_short = _aes.decrypt(ciphertext_short, iv)
print(f"Ciphertext Hex: {ciphertext_short.hex()}")
print(f"Plaintext: {plaintext_short.decode()}")
assert short_text == plaintext_short
print(bcolors.OK + "Short Text Test Passed Successfully" + bcolors.RESET)
print()
# test an arbitrary length phrase
iv = os.urandom(AES.block_size)
text = b"This Text is longer than one block"
print("Arbitrary Length Tests")
print("----------------------")
print(f"iv: {iv.hex()}")
print(f"plain text: '{text.decode()}'")
ciphertext = _aes.encrypt(text, iv)
plaintext = _aes.decrypt(ciphertext, iv)
print(f"Ciphertext Hex: {ciphertext.hex()}")
print(f"Plaintext: {plaintext.decode()}")
assert text == plaintext
print(bcolors.OK + "Arbitrary Length Text Test Passed Successfully" + bcolors.RESET)
print()
if __name__ == "__main__":
# test AES class
test()

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software/rns-0.7.0/RNS/Cryptography/aes/utils.py Normal file
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# MIT License
# Copyright (c) 2021 Or Gur Arie
# Permission is hereby granted, free of charge, to any person obtaining a copy
# of this software and associated documentation files (the "Software"), to deal
# in the Software without restriction, including without limitation the rights
# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
# copies of the Software, and to permit persons to whom the Software is
# furnished to do so, subject to the following conditions:
# The above copyright notice and this permission notice shall be included in all
# copies or substantial portions of the Software.
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
# SOFTWARE.
'''
Utils class for AES encryption / decryption
'''
## AES lookup tables
# resource: https://en.wikipedia.org/wiki/Rijndael_S-box
s_box = (
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_s_box = (
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,
)
## AES AddRoundKey
# Round constants https://en.wikipedia.org/wiki/AES_key_schedule#Round_constants
r_con = (
0x00, 0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40,
0x80, 0x1B, 0x36, 0x6C, 0xD8, 0xAB, 0x4D, 0x9A,
0x2F, 0x5E, 0xBC, 0x63, 0xC6, 0x97, 0x35, 0x6A,
0xD4, 0xB3, 0x7D, 0xFA, 0xEF, 0xC5, 0x91, 0x39,
)
def add_round_key(s, k):
for i in range(4):
for j in range(4):
s[i][j] ^= k[i][j]
## AES SubBytes
def sub_bytes(s):
for i in range(4):
for j in range(4):
s[i][j] = s_box[s[i][j]]
def inv_sub_bytes(s):
for i in range(4):
for j in range(4):
s[i][j] = inv_s_box[s[i][j]]
## AES ShiftRows
def shift_rows(s):
s[0][1], s[1][1], s[2][1], s[3][1] = s[1][1], s[2][1], s[3][1], s[0][1]
s[0][2], s[1][2], s[2][2], s[3][2] = s[2][2], s[3][2], s[0][2], s[1][2]
s[0][3], s[1][3], s[2][3], s[3][3] = s[3][3], s[0][3], s[1][3], s[2][3]
def inv_shift_rows(s):
s[0][1], s[1][1], s[2][1], s[3][1] = s[3][1], s[0][1], s[1][1], s[2][1]
s[0][2], s[1][2], s[2][2], s[3][2] = s[2][2], s[3][2], s[0][2], s[1][2]
s[0][3], s[1][3], s[2][3], s[3][3] = s[1][3], s[2][3], s[3][3], s[0][3]
## AES MixColumns
# learned from http://cs.ucsb.edu/~koc/cs178/projects/JT/aes.c
xtime = lambda a: (((a << 1) ^ 0x1B) & 0xFF) if (a & 0x80) else (a << 1)
def mix_single_column(a):
# see Sec 4.1.2 in The Design of Rijndael
t = a[0] ^ a[1] ^ a[2] ^ a[3]
u = a[0]
a[0] ^= t ^ xtime(a[0] ^ a[1])
a[1] ^= t ^ xtime(a[1] ^ a[2])
a[2] ^= t ^ xtime(a[2] ^ a[3])
a[3] ^= t ^ xtime(a[3] ^ u)
def mix_columns(s):
for i in range(4):
mix_single_column(s[i])
def inv_mix_columns(s):
# see Sec 4.1.3 in The Design of Rijndael
for i in range(4):
u = xtime(xtime(s[i][0] ^ s[i][2]))
v = xtime(xtime(s[i][1] ^ s[i][3]))
s[i][0] ^= u
s[i][1] ^= v
s[i][2] ^= u
s[i][3] ^= v
mix_columns(s)
## AES Bytes
def bytes2matrix(text):
""" Converts a 16-byte array into a 4x4 matrix. """
return [list(text[i:i+4]) for i in range(0, len(text), 4)]
def matrix2bytes(matrix):
""" Converts a 4x4 matrix into a 16-byte array. """
return bytes(sum(matrix, []))
def xor_bytes(a, b):
""" Returns a new byte array with the elements xor'ed. """
return bytes(i^j for i, j in zip(a, b))
def split_blocks(message, block_size=16, require_padding=True):
assert len(message) % block_size == 0 or not require_padding
return [message[i:i+16] for i in range(0, len(message), block_size)]