From 964b1ec662ed439b0f56c8bc232a987fa20cd0e1 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Joachim=20Stro=CC=88mbergson?= Date: Thu, 27 Nov 2014 15:50:21 +0100 Subject: Adding Python models for AES as well as key expansion and rcon. --- src/model/python/aes.py | 1057 +++++++++++++++++++++++++++++++++++++++ src/model/python/aes_key_gen.py | 567 +++++++++++++++++++++ src/model/python/rcon.py | 585 ++++++++++++++++++++++ 3 files changed, 2209 insertions(+) create mode 100755 src/model/python/aes.py create mode 100755 src/model/python/aes_key_gen.py create mode 100644 src/model/python/rcon.py diff --git a/src/model/python/aes.py b/src/model/python/aes.py new file mode 100755 index 0000000..582f2b4 --- /dev/null +++ b/src/model/python/aes.py @@ -0,0 +1,1057 @@ +#!/usr/bin/env python3 +# -*- coding: utf-8 -*- +#======================================================================= +# +# aes.py +# ------ +# Simple, pure Python, word based model of the AES cipher with +# support for 128 and 256 bit keys. +# +# +# Author: Joachim Strombergson +# Copyright (c) 2014, SUNET +# All rights reserved. +# +# Redistribution and use in source and binary forms, with or +# without modification, are permitted provided that the following +# conditions are met: +# +# 1. Redistributions of source code must retain the above copyright +# notice, this list of conditions and the following disclaimer. +# +# 2. Redistributions in binary form must reproduce the above copyright +# notice, this list of conditions and the following disclaimer in +# the documentation and/or other materials provided with the +# distribution. +# +# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +# STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +# ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF +# ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +# +#======================================================================= + +#------------------------------------------------------------------- +# Python module imports. +#------------------------------------------------------------------- +import sys + + +#------------------------------------------------------------------- +# Constants. +#------------------------------------------------------------------- +VERBOSE = True +DUMP_VARS = True + +AES_128_ROUNDS = 10 +AES_256_ROUNDS = 14 + + +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] + + +#------------------------------------------------------------------- +# print_bytekeys() +# +# Print a set of round keys given as an array of bytes. +#------------------------------------------------------------------- +def print_bytekeys(keys): + i = 0 + print("Number of round keys: %d" % (int(len(keys) / 16))) + while i < (len(keys) - 1): + for j in range(16): + print("0x%02x " % keys[i + j], end="") + print("") + i += 16 + +#------------------------------------------------------------------- +# print_block() +# +# Print the given block as four 32 bit words. +#------------------------------------------------------------------- +def print_block(block): + (w0, w1, w2, w3) = block + print("0x%08x, 0x%08x, 0x%08x, 0x%08x" % (w0, w1, w2, w3)) + + +#------------------------------------------------------------------- +# print_key() +# +# Print the given key as on or two sets of four 32 bit words. +#------------------------------------------------------------------- +def print_key(key): + if len(key) == 8: + (k0, k1, k2, k3, k4, k5, k6, k7) = key + print_block((k0, k1, k2, k3)) + print_block((k4, k5, k6, k7)) + else: + print_block(key) + + +#------------------------------------------------------------------- +# b2w() +# +# Create a word from the given bytes. +#------------------------------------------------------------------- +def b2w(b0, b1, b2, b3): + return (b0 << 24) + (b1 << 16) + (b2 << 8) + b3 + + +#------------------------------------------------------------------- +# w2b() +# +# Extracts the bytes in a word. +#------------------------------------------------------------------- +def w2b(w): + b0 = w >> 24 + b1 = w >> 16 & 0xff + b2 = w >> 8 & 0xff + b3 = w & 0xff + + return (b0, b1, b2, b3) + + +#------------------------------------------------------------------- +# gm2() +# +# The specific Galois Multiplication by two for a given byte. +#------------------------------------------------------------------- +def gm2(b): + return ((b << 1) ^ (0x1b & ((b >> 7) * 0xff))) & 0xff + + +#------------------------------------------------------------------- +# gm3() +# +# The specific Galois Multiplication by three for a given byte. +#------------------------------------------------------------------- +def gm3(b): + return gm2(b) ^ b + + +#------------------------------------------------------------------- +# gm4() +# +# The specific Galois Multiplication by four for a given byte. +#------------------------------------------------------------------- +def gm4(b): + return gm2(gm2(b)) + + +#------------------------------------------------------------------- +# gm8() +# +# The specific Galois Multiplication by eight for a given byte. +#------------------------------------------------------------------- +def gm8(b): + return gm2(gm4(b)) + + +#------------------------------------------------------------------- +# gm09() +# +# The specific Galois Multiplication by nine for a given byte. +#------------------------------------------------------------------- +def gm09(b): + return gm8(b) ^ b + + +#------------------------------------------------------------------- +# gm11() +# +# The specific Galois Multiplication by 11 for a given byte. +#------------------------------------------------------------------- +def gm11(b): + return gm8(b) ^ gm2(b) ^ b + + +#------------------------------------------------------------------- +# gm13() +# +# The specific Galois Multiplication by 13 for a given byte. +#------------------------------------------------------------------- +def gm13(b): + return gm8(b) ^ gm4(b) ^ b + + +#------------------------------------------------------------------- +# gm14() +# +# The specific Galois Multiplication by 14 for a given byte. +#------------------------------------------------------------------- +def gm14(b): + return gm8(b) ^ gm4(b) ^ gm2(b) + + +#------------------------------------------------------------------- +# substw() +# +# Returns a 32-bit word in which each of the bytes in the +# given 32-bit word has been used as lookup into the AES S-box. +#------------------------------------------------------------------- +def substw(w): + (b0, b1, b2, b3) = w2b(w) + + s0 = sbox[b0] + s1 = sbox[b1] + s2 = sbox[b2] + s3 = sbox[b3] + + res = b2w(s0, s1, s2, s3) + + if VERBOSE: + print("Inside substw:") + print("b0 = 0x%02x, b1 = 0x%02x, b2 = 0x%02x, b3 = 0x%02x" % + (b0, b1, b2, b3)) + print("s0 = 0x%02x, s1 = 0x%02x, s2 = 0x%02x, s3 = 0x%02x" % + (s0, s1, s2, s3)) + print("res = 0x%08x" % (res)) + + return res + + +#------------------------------------------------------------------- +# inv_substw() +# +# Returns a 32-bit word in which each of the bytes in the +# given 32-bit word has been used as lookup into +# the inverse AES S-box. +#------------------------------------------------------------------- +def inv_substw(w): + (b0, b1, b2, b3) = w2b(w) + + s0 = inv_sbox[b0] + s1 = inv_sbox[b1] + s2 = inv_sbox[b2] + s3 = inv_sbox[b3] + + res = b2w(s0, s1, s2, s3) + + if VERBOSE: + print("Inside inv_substw:") + print("b0 = 0x%02x, b1 = 0x%02x, b2 = 0x%02x, b3 = 0x%02x" % + (b0, b1, b2, b3)) + print("s0 = 0x%02x, s1 = 0x%02x, s2 = 0x%02x, s3 = 0x%02x" % + (s0, s1, s2, s3)) + print("res = 0x%08x" % (res)) + + return res + + +#------------------------------------------------------------------- +# rolx() +# +# Rotate the given 32 bit word x bits left. +#------------------------------------------------------------------- +def rolx(w, x): + return ((w << x) | (w >> (32 - x))) & 0xffffffff + + +#------------------------------------------------------------------- +# next_128bit_key() +# +# Generate the next four key words for aes-128 based on given +# rcon and previous key words. +#------------------------------------------------------------------- +def next_128bit_key(prev_key, rcon): + (w0, w1, w2, w3) = prev_key + + rol = rolx(w3, 8) + subst = substw(rol) + t = subst ^ (rcon << 24) + + k0 = w0 ^ t + k1 = w1 ^ w0 ^ t + k2 = w2 ^ w1 ^ w0 ^ t + k3 = w3 ^ w2 ^ w1 ^ w0 ^ t + + if VERBOSE: + print("Inside next 128bit key:") + print("w0 = 0x%08x, w1 = 0x%08x, w2 = 0x%08x, w3 = 0x%08x" % + (w0, w1, w2, w3)) + print("rol = 0x%08x, subst = 0x%08x, rcon = 0x%02x, t = 0x%08x" % + (rol, subst, rcon, t)) + print("k0 = 0x%08x, k1 = 0x%08x, k2 = 0x%08x, k3 = 0x%08x" % + (k0, k1, k2, k3)) + + return (k0, k1, k2, k3) + + +#------------------------------------------------------------------- +# key_gen128() +# +# Generating the keys for 128 bit keys. +#------------------------------------------------------------------- +def key_gen128(key): + print("Doing the 128 bit key expansion") + + round_keys = [] + + round_keys.append(key) + + for i in range(10): + round_keys.append(next_128bit_key(round_keys[i], get_rcon(i + 1))) + + if VERBOSE: + print("Input key:") + print_block(key) + print("") + + print("Generated keys:") + for k in round_keys: + print_block(k) + print("") + + return round_keys + + +#------------------------------------------------------------------- +# next_256bit_key_a() +# +# Generate the next four key words for aes-256 using algorithm A +# based on given rcon and the previous two keys. +#------------------------------------------------------------------- +def next_256it_key_a(key0, key1, rcon): + (w0, w1, w2, w3) = key0 + (w4, w5, w6, w7) = key1 + + sw = substw(rolx(w7, 8)) + rw = (rcon << 24) + t = sw ^ rw + + k0 = w0 ^ t + k1 = w1 ^ w0 ^ t + k2 = w2 ^ w1 ^ w0 ^ t + k3 = w3 ^ w2 ^ w1 ^ w0 ^ t + + if (DUMP_VARS): + print("next_256bit_key_a:") + print("w0 = 0x%08x, w0 = 0x%08x, w0 = 0x%08x, w0 = 0x%08x" % (w0, w1, w2, w3)) + print("w4 = 0x%08x, w5 = 0x%08x, w6 = 0x%08x, w7 = 0x%08x" % (w4, w5, w6, w7)) + print("t = 0x%08x, sw = 0x%08x, rw = 0x%08x" % (t, sw, rw)) + print("k0 = 0x%08x, k0 = 0x%08x, k0 = 0x%08x, k0 = 0x%08x" % (k0, k1, k2, k3)) + print("") + + return (k0, k1, k2, k3) + + +#------------------------------------------------------------------- +# next_256bit_key_b() +# +# Generate the next four key words for aes-256 using algorithm B +# based on given previous eight keywords. +#------------------------------------------------------------------- +def next_256it_key_b(key0, key1): + (w0, w1, w2, w3) = key0 + (w4, w5, w6, w7) = key1 + + t = substw(w7) + + k0 = w0 ^ t + k1 = w1 ^ w0 ^ t + k2 = w2 ^ w1 ^ w0 ^ t + k3 = w3 ^ w2 ^ w1 ^ w0 ^ t + + if (DUMP_VARS): + print("next_256bit_key_b:") + print("w0 = 0x%08x, w0 = 0x%08x, w0 = 0x%08x, w0 = 0x%08x" % (w0, w1, w2, w3)) + print("w4 = 0x%08x, w5 = 0x%08x, w6 = 0x%08x, w7 = 0x%08x" % (w4, w5, w6, w7)) + print("t = 0x%08x" % (t)) + print("k0 = 0x%08x, k0 = 0x%08x, k0 = 0x%08x, k0 = 0x%08x" % (k0, k1, k2, k3)) + print("") + + return (k0, k1, k2, k3) + + +#------------------------------------------------------------------- +# key_gen256() +# +# Generating the keys for 256 bit keys. +#------------------------------------------------------------------- +def key_gen256(key): + round_keys = [] + (k0, k1, k2, k3, k4, k5, k6, k7) = key + + round_keys.append((k0, k1, k2, k3)) + round_keys.append((k4, k5, k6, k7)) + + j = 1 + for i in range(0, (AES_256_ROUNDS - 2), 2): + k = next_256it_key_a(round_keys[i], round_keys[i + 1], get_rcon(j)) + round_keys.append(k) + k = next_256it_key_b(round_keys[i + 1], round_keys[i + 2]) + round_keys.append(k) + j += 1 + + # One final key needs to be generated. + k = next_256it_key_a(round_keys[12], round_keys[13], get_rcon(7)) + round_keys.append(k) + + if VERBOSE: + print("Input key:") + print_block((k0, k1, k2, k3)) + print_block((k4, k5, k6, k7)) + print("") + + print("Generated keys:") + for k in round_keys: + print_block(k) + print("") + + return round_keys + + +#------------------------------------------------------------------- +# get_rcon() +# +# Function implementation of rcon. Calculates rcon for a +# given round. This could be implemented as an iterator. +#------------------------------------------------------------------- +def get_rcon(round): + rcon = 0x8d + + for i in range(0, round): + rcon = ((rcon << 1) ^ (0x11b & - (rcon >> 7))) & 0xff + + return rcon + + +#------------------------------------------------------------------- +# addroundkey() +# +# AES AddRoundKey block operation. +# Perform XOR combination of the given block and the given key. +#------------------------------------------------------------------- +def addroundkey(key, block): + (w0, w1, w2, w3) = block + (k0, k1, k2, k3) = key + + res_block = (w0 ^ k0, w1 ^ k1, w2 ^ k2, w3 ^ k3) + + if VERBOSE: + print("AddRoundKey key, block in and block out:") + print_block(key) + print_block(block) + print_block(res_block) + print("") + + return res_block + + +#------------------------------------------------------------------- +# mixw() +# +# Perform bit mixing of the given words. +#------------------------------------------------------------------- +def mixw(w): + (b0, b1, b2, b3) = w2b(w) + + mb0 = gm2(b0) ^ gm3(b1) ^ b2 ^ b3 + mb1 = b0 ^ gm2(b1) ^ gm3(b2) ^ b3 + mb2 = b0 ^ b1 ^ gm2(b2) ^ gm3(b3) + mb3 = gm3(b0) ^ b1 ^ b2 ^ gm2(b3) + + return b2w(mb0, mb1, mb2, mb3) + + +#------------------------------------------------------------------- +# mixcolumns() +# +# AES MixColumns on the given block. +#------------------------------------------------------------------- +def mixcolumns(block): + (c0, c1, c2, c3) = block + + mc0 = mixw(c0) + mc1 = mixw(c1) + mc2 = mixw(c2) + mc3 = mixw(c3) + + res_block = (mc0, mc1, mc2, mc3) + + if VERBOSE: + print("MixColumns block in and block out:") + print_block(block) + print_block(res_block) + print("") + + return res_block + + +#------------------------------------------------------------------- +# subbytes() +# +# AES SubBytes operation on the given block. +#------------------------------------------------------------------- +def subbytes(block): + (w0, w1, w2, w3) = block + + res_block = (substw(w0), substw(w1), substw(w2), substw(w3)) + + if VERBOSE: + print("SubBytes block in and block out:") + print_block(block) + print_block(res_block) + print("") + + return res_block + + +#------------------------------------------------------------------- +# shiftrows() +# +# AES ShiftRows block operation. +#------------------------------------------------------------------- +def shiftrows(block): + (w0, w1, w2, w3) = block + + c0 = w2b(w0) + c1 = w2b(w1) + c2 = w2b(w2) + c3 = w2b(w3) + + ws0 = b2w(c0[0], c1[1], c2[2], c3[3]) + ws1 = b2w(c1[0], c2[1], c3[2], c0[3]) + ws2 = b2w(c2[0], c3[1], c0[2], c1[3]) + ws3 = b2w(c3[0], c0[1], c1[2], c2[3]) + + res_block = (ws0, ws1, ws2, ws3) + + if VERBOSE: + print("ShiftRows block in and block out:") + print_block(block) + print_block(res_block) + print("") + + return res_block + + +#------------------------------------------------------------------- +# aes_encipher() +# +# Perform AES encipher operation for the given block using the +# given key length. +#------------------------------------------------------------------- +def aes_encipher_block(key, block): + tmp_block = block[:] + + # Get round keys based on the given key. + if len(key) == 4: + round_keys = key_gen128(key) + num_rounds = AES_128_ROUNDS + else: + round_keys = key_gen256(key) + num_rounds = AES_256_ROUNDS + + # Init round + print(" Initial AddRoundKeys round.") + tmp_block4 = addroundkey(round_keys[0], block) + + # Main rounds + for i in range(1 , (num_rounds)): + print("") + print(" Round %02d" % i) + print(" ---------") + + tmp_block1 = subbytes(tmp_block4) + tmp_block2 = shiftrows(tmp_block1) + tmp_block3 = mixcolumns(tmp_block2) + tmp_block4 = addroundkey(round_keys[i], tmp_block3) + + + # Final round + print(" Final round.") + tmp_block1 = subbytes(tmp_block4) + tmp_block2 = shiftrows(tmp_block1) + tmp_block3 = addroundkey(round_keys[num_rounds], tmp_block2) + + return tmp_block3 + + +#------------------------------------------------------------------- +# inv_mixw() +# +# Perform inverse bit mixing of the given words. +#------------------------------------------------------------------- +def inv_mixw(w): + (b0, b1, b2, b3) = w2b(w) + + mb0 = gm14(b0) ^ gm11(b1) ^ gm13(b2) ^ gm09(b3) + mb1 = gm09(b0) ^ gm14(b1) ^ gm11(b2) ^ gm13(b3) + mb2 = gm13(b0) ^ gm09(b1) ^ gm14(b2) ^ gm11(b3) + mb3 = gm11(b0) ^ gm13(b1) ^ gm09(b2) ^ gm14(b3) + + return b2w(mb0, mb1, mb2, mb3) + + +#------------------------------------------------------------------- +# inv_mixcolumns() +# +# AES Inverse MixColumns on the given block. +#------------------------------------------------------------------- +def inv_mixcolumns(block): + (c0, c1, c2, c3) = block + + mc0 = inv_mixw(c0) + mc1 = inv_mixw(c1) + mc2 = inv_mixw(c2) + mc3 = inv_mixw(c3) + + res_block = (mc0, mc1, mc2, mc3) + + if VERBOSE: + print("Inverse MixColumns block in and block out:") + print_block(block) + print_block(res_block) + print("") + + return res_block + + +#------------------------------------------------------------------- +# inv_shiftrows() +# +# AES inverse ShiftRows block operation. +#------------------------------------------------------------------- +def inv_shiftrows(block): + (w0, w1, w2, w3) = block + + c0 = w2b(w0) + c1 = w2b(w1) + c2 = w2b(w2) + c3 = w2b(w3) + + ws0 = b2w(c0[0], c3[1], c2[2], c1[3]) + ws1 = b2w(c1[0], c0[1], c3[2], c2[3]) + ws2 = b2w(c2[0], c1[1], c0[2], c3[3]) + ws3 = b2w(c3[0], c2[1], c1[2], c0[3]) + + res_block = (ws0, ws1, ws2, ws3) + + if VERBOSE: + print("Inverse ShiftRows block in and block out:") + print_block(block) + print_block(res_block) + print("") + + return res_block + + +#------------------------------------------------------------------- +# inv_subbytes() +# +# AES inverse SubBytes operation on the given block. +#------------------------------------------------------------------- +def inv_subbytes(block): + (w0, w1, w2, w3) = block + + res_block = (inv_substw(w0), inv_substw(w1), inv_substw(w2), inv_substw(w3)) + + if VERBOSE: + print("Inverse SubBytes block in and block out:") + print_block(block) + print_block(res_block) + print("") + + return res_block + + +#------------------------------------------------------------------- +# aes_decipher() +# +# Perform AES decipher operation for the given block +# using the given key length. +#------------------------------------------------------------------- +def aes_decipher_block(key, block): + tmp_block = block[:] + + # Get round keys based on the given key. + if len(key) == 4: + round_keys = key_gen128(key) + num_rounds = AES_128_ROUNDS + else: + round_keys = key_gen256(key) + num_rounds = AES_256_ROUNDS + + # Initial round + print(" Initial, partial round.") + tmp_block1 = addroundkey(round_keys[len(round_keys) - 1], tmp_block) + tmp_block2 = inv_shiftrows(tmp_block1) + tmp_block4 = inv_subbytes(tmp_block2) + + # Main rounds + for i in range(1 , (num_rounds)): + print("") + print(" Round %02d" % i) + print(" ---------") + + tmp_block1 = addroundkey(round_keys[(len(round_keys) - i - 1)], tmp_block4) + tmp_block2 = inv_mixcolumns(tmp_block1) + tmp_block3 = inv_shiftrows(tmp_block2) + tmp_block4 = inv_subbytes(tmp_block3) + + # Final round + print(" Final AddRoundKeys round.") + res_block = addroundkey(round_keys[0], tmp_block4) + + return res_block + + +#------------------------------------------------------------------- +# test_mixcolumns() +# +# Test the mixcolumns and inverse mixcolumns operations using +# some simple test values. +#------------------------------------------------------------------- +def test_mixcolumns(): + nist_aes128_key = (0x2b7e1516, 0x28aed2a6, 0xabf71588, 0x09cf4f3c) + + print("Test of mixcolumns and inverse mixcolumns:") + mixresult = mixcolumns(nist_aes128_key) + inv_mixresult = inv_mixcolumns(mixresult) + + print("Test of mixw ochi inv_mixw:") + testw = 0xdb135345 + expw = 0x8e4da1bc + mixresult = mixw(testw) + inv_mixresult = inv_mixw(mixresult) + print("Testword: 0x%08x" % testw) + print("expexted: 0x%08x" % expw) + print("mixword: 0x%08x" % mixresult) + print("invmixword: 0x%08x" % inv_mixresult) + + +#------------------------------------------------------------------- +# test_aes() +# +# Test the AES implementation with 128 and 256 bit keys. +#------------------------------------------------------------------- +def test_aes(): + nist_aes128_key = (0x2b7e1516, 0x28aed2a6, 0xabf71588, 0x09cf4f3c) + nist_aes256_key = (0x603deb10, 0x15ca71be, 0x2b73aef0, 0x857d7781, + 0x1f352c07, 0x3b6108d7, 0x2d9810a3, 0x0914dff4) + + nist_plaintext0 = (0x6bc1bee2, 0x2e409f96, 0xe93d7e11, 0x7393172a) + nist_plaintext1 = (0xae2d8a57, 0x1e03ac9c, 0x9eb76fac, 0x45af8e51) + nist_plaintext2 = (0x30c81c46, 0xa35ce411, 0xe5fbc119, 0x1a0a52ef) + nist_plaintext3 = (0xf69f2445, 0xdf4f9b17, 0xad2b417b, 0xe66c3710) + + nist_exp128_0 = (0x3ad77bb4, 0x0d7a3660, 0xa89ecaf3, 0x2466ef97) + nist_exp128_1 = (0xf5d3d585, 0x03b9699d, 0xe785895a, 0x96fdbaaf) + nist_exp128_2 = (0x43b1cd7f, 0x598ece23, 0x881b00e3, 0xed030688) + nist_exp128_3 = (0x7b0c785e, 0x27e8ad3f, 0x82232071, 0x04725dd4) + + nist_exp256_0 = (0xf3eed1bd, 0xb5d2a03c, 0x064b5a7e, 0x3db181f8) + nist_exp256_1 = (0x591ccb10, 0xd410ed26, 0xdc5ba74a, 0x31362870) + nist_exp256_2 = (0xb6ed21b9, 0x9ca6f4f9, 0xf153e7b1, 0xbeafed1d) + nist_exp256_3 = (0x23304b7a, 0x39f9f3ff, 0x067d8d8f, 0x9e24ecc7) + + + print("Doing block encryption.") + enc_result128_0 = aes_encipher_block(nist_aes128_key, nist_plaintext0) + enc_result128_1 = aes_encipher_block(nist_aes128_key, nist_plaintext1) + enc_result128_2 = aes_encipher_block(nist_aes128_key, nist_plaintext2) + enc_result128_3 = aes_encipher_block(nist_aes128_key, nist_plaintext3) + + enc_result256_0 = aes_encipher_block(nist_aes256_key, nist_plaintext0) + enc_result256_1 = aes_encipher_block(nist_aes256_key, nist_plaintext1) + enc_result256_2 = aes_encipher_block(nist_aes256_key, nist_plaintext2) + enc_result256_3 = aes_encipher_block(nist_aes256_key, nist_plaintext3) + + print("Doing block decryption.") + dec_result128_0 = aes_decipher_block(nist_aes128_key, nist_exp128_0) + dec_result128_1 = aes_decipher_block(nist_aes128_key, nist_exp128_1) + dec_result128_2 = aes_decipher_block(nist_aes128_key, nist_exp128_2) + dec_result128_3 = aes_decipher_block(nist_aes128_key, nist_exp128_3) + + dec_result256_0 = aes_decipher_block(nist_aes256_key, nist_exp256_0) + dec_result256_1 = aes_decipher_block(nist_aes256_key, nist_exp256_1) + dec_result256_2 = aes_decipher_block(nist_aes256_key, nist_exp256_2) + dec_result256_3 = aes_decipher_block(nist_aes256_key, nist_exp256_3) + + + if VERBOSE: + print(" AES Encipher tests") + print(" ==================") + + print("Test 0 for AES-128.") + print("Key:") + print_key(nist_aes128_key) + print("Block in:") + print_block(nist_plaintext0) + print("Expected block out:") + print_block(nist_exp128_0) + print("Got block out:") + print_block(enc_result128_0) + print("") + + print("Test 1 for AES-128.") + print("Key:") + print_key(nist_aes128_key) + print("Block in:") + print_block(nist_plaintext1) + print("Expected block out:") + print_block(nist_exp128_1) + print("Got block out:") + print_block(enc_result128_1) + print("") + + print("Test 2 for AES-128.") + print("Key:") + print_key(nist_aes128_key) + print("Block in:") + print_block(nist_plaintext2) + print("Expected block out:") + print_block(nist_exp128_2) + print("Got block out:") + print_block(enc_result128_2) + print("") + + print("Test 3 for AES-128.") + print("Key:") + print_key(nist_aes128_key) + print("Block in:") + print_block(nist_plaintext3) + print("Expected block out:") + print_block(nist_exp128_3) + print("Got block out:") + print_block(enc_result128_3) + print("") + + + print("Test 0 for AES-256.") + print("Key:") + print_key(nist_aes256_key) + print("Block in:") + print_block(nist_plaintext0) + print("Expected block out:") + print_block(nist_exp256_0) + print("Got block out:") + print_block(enc_result256_0) + print("") + + print("Test 1 for AES-256.") + print("Key:") + print_key(nist_aes256_key) + print("Block in:") + print_block(nist_plaintext1) + print("Expected block out:") + print_block(nist_exp256_1) + print("Got block out:") + print_block(enc_result256_1) + print("") + + print("Test 2 for AES-256.") + print("Key:") + print_key(nist_aes256_key) + print("Block in:") + print_block(nist_plaintext2) + print("Expected block out:") + print_block(nist_exp256_2) + print("Got block out:") + print_block(enc_result256_2) + print("") + + print("Test 3 for AES-256.") + print("Key:") + print_key(nist_aes256_key) + print("Block in:") + print_block(nist_plaintext3) + print("Expected block out:") + print_block(nist_exp256_3) + print("Got block out:") + print_block(enc_result256_3) + print("") + + print("") + print(" AES Decipher tests") + print(" ==================") + + print("Test 0 for AES-128.") + print("Key:") + print_key(nist_aes128_key) + print("Block in:") + print_block(nist_exp128_0) + print("Expected block out:") + print_block(nist_plaintext0) + print("Got block out:") + print_block(dec_result128_0) + print("") + + print("Test 1 for AES-128.") + print("Key:") + print_key(nist_aes128_key) + print("Block in:") + print_block(nist_exp128_1) + print("Expected block out:") + print_block(nist_plaintext1) + print("Got block out:") + print_block(dec_result128_1) + print("") + + print("Test 2 for AES-128.") + print("Key:") + print_key(nist_aes128_key) + print("Block in:") + print_block(nist_exp128_2) + print("Expected block out:") + print_block(nist_plaintext2) + print("Got block out:") + print_block(dec_result128_2) + print("") + + print("Test 3 for AES-128.") + print("Key:") + print_key(nist_aes128_key) + print("Block in:") + print_block(nist_exp128_3) + print("Expected block out:") + print_block(nist_plaintext3) + print("Got block out:") + print_block(dec_result128_3) + print("") + + print("Test 0 for AES-256.") + print("Key:") + print_key(nist_aes256_key) + print("Block in:") + print_block(nist_exp256_0) + print("Expected block out:") + print_block(nist_plaintext0) + print("Got block out:") + print_block(dec_result256_0) + print("") + + print("Test 1 for AES-256.") + print("Key:") + print_key(nist_aes256_key) + print("Block in:") + print_block(nist_exp256_1) + print("Expected block out:") + print_block(nist_plaintext1) + print("Got block out:") + print_block(dec_result256_1) + print("") + + print("Test 2 for AES-256.") + print("Key:") + print_key(nist_aes256_key) + print("Block in:") + print_block(nist_exp256_2) + print("Expected block out:") + print_block(nist_plaintext2) + print("Got block out:") + print_block(dec_result256_2) + print("") + + print("Test 3 for AES-256.") + print("Key:") + print_key(nist_aes256_key) + print("Block in:") + print_block(nist_exp256_3) + print("Expected block out:") + print_block(nist_plaintext3) + print("Got block out:") + print_block(dec_result256_3) + print("") + + +#------------------------------------------------------------------- +# main() +# +# If executed tests the ChaCha class using known test vectors. +#------------------------------------------------------------------- +def main(): + print("Testing the AES cipher model") + print("============================") + print + + # test_mixcolumns() + test_aes() + + +#------------------------------------------------------------------- +# __name__ +# Python thingy which allows the file to be run standalone as +# well as parsed from within a Python interpreter. +#------------------------------------------------------------------- +if __name__=="__main__": + # Run the main function. + sys.exit(main()) + +#======================================================================= +# EOF aes_key_gen.py +#======================================================================= diff --git a/src/model/python/aes_key_gen.py b/src/model/python/aes_key_gen.py new file mode 100755 index 0000000..54ff617 --- /dev/null +++ b/src/model/python/aes_key_gen.py @@ -0,0 +1,567 @@ +#!/usr/bin/env python3 +# -*- coding: utf-8 -*- +#======================================================================= +# +# aes_key_gen.py +# ------------- +# Simple, pure Python test model of the AES key generation. +# This one is operating on 32 bit words. The key generation +# supports 128 and 256 bit keys. +# +# +# Author: Joachim Strombergson +# Copyright (c) 2014, SUNET +# All rights reserved. +# +# Redistribution and use in source and binary forms, with or +# without modification, are permitted provided that the following +# conditions are met: +# +# 1. Redistributions of source code must retain the above copyright +# notice, this list of conditions and the following disclaimer. +# +# 2. Redistributions in binary form must reproduce the above copyright +# notice, this list of conditions and the following disclaimer in +# the documentation and/or other materials provided with the +# distribution. +# +# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +# STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +# ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF +# ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +# +#======================================================================= + +#------------------------------------------------------------------- +# Python module imports. +#------------------------------------------------------------------- +import sys + + +#------------------------------------------------------------------- +# Constants. +#------------------------------------------------------------------- +VERBOSE = True + +DUMP_VARS = True + +AES_128_ROUNDS = 10 +AES_256_ROUNDS = 14 + + +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] + + +#------------------------------------------------------------------- +# substw() +# +# Returns a 32-bit word in which each of the bytes in the +# given 32-bit word has been used as lookup into the AES S-box. +#------------------------------------------------------------------- +def substw(w): + b0 = w >> 24 + b1 = w >> 16 & 0xff + b2 = w >> 8 & 0xff + b3 = w & 0xff + + s0 = sbox[b0] + s1 = sbox[b1] + s2 = sbox[b2] + s3 = sbox[b3] + + res = (s0 << 24) + (s1 << 16) + (s2 << 8) + s3 + + if VERBOSE: + print("Inside substw:") + print("b0 = 0x%02x, b1 = 0x%02x, b2 = 0x%02x, b3 = 0x%02x" % + (b0, b1, b2, b3)) + print("s0 = 0x%02x, s1 = 0x%02x, s2 = 0x%02x, s3 = 0x%02x" % + (s0, s1, s2, s3)) + print("res = 0x%08x" % (res)) + + return res + + +#------------------------------------------------------------------- +# rol8() +# +# Rotate the given 32 bit word 8 bits left. +#------------------------------------------------------------------- +def rol8(w): + return ((w << 8) | (w >> 24)) & 0xffffffff + + +#------------------------------------------------------------------- +# next_128bit_key() +# +# Generate the next four key words for aes-128 based on given +# rcon and previous key words. +#------------------------------------------------------------------- +def next_128bit_key(prev_key, rcon): + (w0, w1, w2, w3) = prev_key + + rol = rol8(w3) + subst = substw(rol) + t = subst ^ (rcon << 24) + + k0 = w0 ^ t + k1 = w1 ^ w0 ^ t + k2 = w2 ^ w1 ^ w0 ^ t + k3 = w3 ^ w2 ^ w1 ^ w0 ^ t + + if VERBOSE: + print("Inside next 128bit key:") + print("w0 = 0x%08x, w1 = 0x%08x, w2 = 0x%08x, w3 = 0x%08x" % + (w0, w1, w2, w3)) + print("rol = 0x%08x, subst = 0x%08x, rcon = 0x%02x, t = 0x%08x" % + (rol, subst, rcon, t)) + print("k0 = 0x%08x, k1 = 0x%08x, k2 = 0x%08x, k3 = 0x%08x" % + (k0, k1, k2, k3)) + + return (k0, k1, k2, k3) + + +#------------------------------------------------------------------- +# key_gen128() +# +# Generating the keys for 128 bit keys. +#------------------------------------------------------------------- +def key_gen128(key): + round_keys = [] + + round_keys.append(key) + + round_keys.append(next_128bit_key(round_keys[0], get_rcon(1))) + round_keys.append(next_128bit_key(round_keys[1], get_rcon(2))) + round_keys.append(next_128bit_key(round_keys[2], get_rcon(3))) + round_keys.append(next_128bit_key(round_keys[3], get_rcon(4))) + round_keys.append(next_128bit_key(round_keys[4], get_rcon(5))) + round_keys.append(next_128bit_key(round_keys[5], get_rcon(6))) + round_keys.append(next_128bit_key(round_keys[6], get_rcon(7))) + round_keys.append(next_128bit_key(round_keys[7], get_rcon(8))) + round_keys.append(next_128bit_key(round_keys[8], get_rcon(9))) + round_keys.append(next_128bit_key(round_keys[9], get_rcon(10))) + + return round_keys + + +#------------------------------------------------------------------- +# next_256bit_key_a() +# +# Generate the next four key words for aes-256 using algorithm A +# based on given rcon and the previous two keys. +#------------------------------------------------------------------- +def next_256it_key_a(key0, key1, rcon): + (w0, w1, w2, w3) = key0 + (w4, w5, w6, w7) = key1 + + sw = substw(rol8(w7)) + rw = (rcon << 24) + t = sw ^ rw + + k0 = w0 ^ t + k1 = w1 ^ w0 ^ t + k2 = w2 ^ w1 ^ w0 ^ t + k3 = w3 ^ w2 ^ w1 ^ w0 ^ t + + if (DUMP_VARS): + print("next_256bit_key_a:") + print("w0 = 0x%08x, w0 = 0x%08x, w0 = 0x%08x, w0 = 0x%08x" % (w0, w1, w2, w3)) + print("w4 = 0x%08x, w5 = 0x%08x, w6 = 0x%08x, w7 = 0x%08x" % (w4, w5, w6, w7)) + print("t = 0x%08x, sw = 0x%08x, rw = 0x%08x" % (t, sw, rw)) + print("k0 = 0x%08x, k0 = 0x%08x, k0 = 0x%08x, k0 = 0x%08x" % (k0, k1, k2, k3)) + print("") + + return (k0, k1, k2, k3) + + +#------------------------------------------------------------------- +# next_256bit_key_b() +# +# Generate the next four key words for aes-256 using algorithm B +# based on given previous eight keywords. +#------------------------------------------------------------------- +def next_256it_key_b(key0, key1): + (w0, w1, w2, w3) = key0 + (w4, w5, w6, w7) = key1 + + t = substw(w7) + + k0 = w0 ^ t + k1 = w1 ^ w0 ^ t + k2 = w2 ^ w1 ^ w0 ^ t + k3 = w3 ^ w2 ^ w1 ^ w0 ^ t + + if (DUMP_VARS): + print("next_256bit_key_b:") + print("w0 = 0x%08x, w0 = 0x%08x, w0 = 0x%08x, w0 = 0x%08x" % (w0, w1, w2, w3)) + print("w4 = 0x%08x, w5 = 0x%08x, w6 = 0x%08x, w7 = 0x%08x" % (w4, w5, w6, w7)) + print("t = 0x%08x" % (t)) + print("k0 = 0x%08x, k0 = 0x%08x, k0 = 0x%08x, k0 = 0x%08x" % (k0, k1, k2, k3)) + print("") + + return (k0, k1, k2, k3) + + +#------------------------------------------------------------------- +# key_gen256() +# +# Generating the keys for 256 bit keys. +#------------------------------------------------------------------- +def key_gen256(key): + round_keys = [] + (k0, k1, k2, k3, k4, k5, k6, k7) = key + + round_keys.append((k0, k1, k2, k3)) + round_keys.append((k4, k5, k6, k7)) + + j = 1 + for i in range(0, (AES_256_ROUNDS - 2), 2): + k = next_256it_key_a(round_keys[i], round_keys[i + 1], get_rcon(j)) + round_keys.append(k) + k = next_256it_key_b(round_keys[i + 1], round_keys[i + 2]) + round_keys.append(k) + j += 1 + + # One final key needs to be generated. + k = next_256it_key_a(round_keys[12], round_keys[13], get_rcon(7)) + round_keys.append(k) + + return round_keys + + +#------------------------------------------------------------------- +# key_gen() +# +# The actual key generation. +#------------------------------------------------------------------- +def key_gen(key): + if VERBOSE: + print("Generating keys for AES-%d." % (len(key) * 32)) + + if (len(key) * 32) == 128: + return key_gen128(key) + + else: + return key_gen256(key) + + +#------------------------------------------------------------------- +# get_rcon() +# +# Function implementation of rcon. Calculates rcon for a +# given round. This could be implemented as an iterator. +#------------------------------------------------------------------- +def get_rcon(round): + rcon = 0x8d + + for i in range(0, round): + rcon = ((rcon << 1) ^ (0x11b & - (rcon >> 7))) & 0xff + + return rcon + + +#------------------------------------------------------------------- +# print_bytekeys() +# +# Print a set of round keys given as an array of bytes. +#------------------------------------------------------------------- +def print_bytekeys(keys): + i = 0 + print("Number of round keys: %d" % (int(len(keys) / 16))) + while i < (len(keys) - 1): + for j in range(16): + print("0x%02x " % keys[i + j], end="") + print("") + i += 16 + + +#------------------------------------------------------------------- +# test_rcon() +# +# Test of the rcon function. +#------------------------------------------------------------------- +def test_rcon(): + print("Testing rcon:") + for i in range(20): + print("rcon %02d = 0x%02x" % (i, get_rcon(i))) + + +#------------------------------------------------------------------- +# test_key() +# +# Generate round keys for a given key and compare them to +# the given expected round keys. +#------------------------------------------------------------------- +def test_key(key, expected): + if len(key) not in [4, 8]: + print("Error: Key is %d bits, not 128 or 256 bits" % (len(key) * 32)) + return + + generated = key_gen(key) + + if VERBOSE: + for k in generated: + (w0, w1, w2, w3) = k + print("0x%08x, 0x%08x, 0x%08x, 0x%08x" % + (w0, w1, w2, w3)) + + if (len(generated) != len(expected)): + print("Error: Incorrect number of keys generated.") + print("Expected number of round keys: %d" % len(expected)) + print("Got number of round keys: %d" % len(generated)) + + for i in range(len(generated)): + exp = expected[i] + got = generated[i] + if (exp != got): + print("Error: Error in round key %d." % i) + (e0, e1, e2, e3) = exp + (g0, g1, g2, g3) = got + print("Expected: 0x%08x 0x%08x 0x%08x 0x%08x"\ + % (e0, e1, e2, e3)) + print("Got: 0x%08x 0x%08x 0x%08x 0x%08x"\ + % (g0, g1, g2, g3)) + else: + print("Correct key generated.") + + +#------------------------------------------------------------------- +# test_key_expansion() +# +# Perform key expansion tests. +# The test keys and expected round keys are taken from: +# http://www.samiam.org/key-schedule.html +#------------------------------------------------------------------- +def test_key_expansion(): + # 128 bit keys. + key128_1 = (0x00000000, 0x00000000, 0x00000000, 0x00000000) + exp128_1 = ((0x00000000, 0x00000000, 0x00000000, 0x00000000), + (0x62636363, 0x62636363, 0x62636363, 0x62636363), + (0x9b9898c9, 0xf9fbfbaa, 0x9b9898c9, 0xf9fbfbaa), + (0x90973450, 0x696ccffa, 0xf2f45733, 0x0b0fac99), + (0xee06da7b, 0x876a1581, 0x759e42b2, 0x7e91ee2b), + (0x7f2e2b88, 0xf8443e09, 0x8dda7cbb, 0xf34b9290), + (0xec614b85, 0x1425758c, 0x99ff0937, 0x6ab49ba7), + (0x21751787, 0x3550620b, 0xacaf6b3c, 0xc61bf09b), + (0x0ef90333, 0x3ba96138, 0x97060a04, 0x511dfa9f), + (0xb1d4d8e2, 0x8a7db9da, 0x1d7bb3de, 0x4c664941), + (0xb4ef5bcb, 0x3e92e211, 0x23e951cf, 0x6f8f188e)) + + key128_2 = (0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff) + exp128_2 = ((0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff), + (0xe8e9e9e9, 0x17161616, 0xe8e9e9e9, 0x17161616), + (0xadaeae19, 0xbab8b80f, 0x525151e6, 0x454747f0), + (0x090e2277, 0xb3b69a78, 0xe1e7cb9e, 0xa4a08c6e), + (0xe16abd3e, 0x52dc2746, 0xb33becd8, 0x179b60b6), + (0xe5baf3ce, 0xb766d488, 0x045d3850, 0x13c658e6), + (0x71d07db3, 0xc6b6a93b, 0xc2eb916b, 0xd12dc98d), + (0xe90d208d, 0x2fbb89b6, 0xed5018dd, 0x3c7dd150), + (0x96337366, 0xb988fad0, 0x54d8e20d, 0x68a5335d), + (0x8bf03f23, 0x3278c5f3, 0x66a027fe, 0x0e0514a3), + (0xd60a3588, 0xe472f07b, 0x82d2d785, 0x8cd7c326)) + + key128_3 = (0x00010203, 0x04050607, 0x08090a0b, 0x0c0d0e0f) + exp128_3 = ((0x00010203, 0x04050607, 0x08090a0b, 0x0c0d0e0f), + (0xd6aa74fd, 0xd2af72fa, 0xdaa678f1, 0xd6ab76fe), + (0xb692cf0b, 0x643dbdf1, 0xbe9bc500, 0x6830b3fe), + (0xb6ff744e, 0xd2c2c9bf, 0x6c590cbf, 0x0469bf41), + (0x47f7f7bc, 0x95353e03, 0xf96c32bc, 0xfd058dfd), + (0x3caaa3e8, 0xa99f9deb, 0x50f3af57, 0xadf622aa), + (0x5e390f7d, 0xf7a69296, 0xa7553dc1, 0x0aa31f6b), + (0x14f9701a, 0xe35fe28c, 0x440adf4d, 0x4ea9c026), + (0x47438735, 0xa41c65b9, 0xe016baf4, 0xaebf7ad2), + (0x549932d1, 0xf0855768, 0x1093ed9c, 0xbe2c974e), + (0x13111d7f, 0xe3944a17, 0xf307a78b, 0x4d2b30c5)) + + key128_4 = (0x6920e299, 0xa5202a6d, 0x656e6368, 0x69746f2a) + exp128_4 = ((0x6920e299, 0xa5202a6d, 0x656e6368, 0x69746f2a), + (0xfa880760, 0x5fa82d0d, 0x3ac64e65, 0x53b2214f), + (0xcf75838d, 0x90ddae80, 0xaa1be0e5, 0xf9a9c1aa), + (0x180d2f14, 0x88d08194, 0x22cb6171, 0xdb62a0db), + (0xbaed96ad, 0x323d1739, 0x10f67648, 0xcb94d693), + (0x881b4ab2, 0xba265d8b, 0xaad02bc3, 0x6144fd50), + (0xb34f195d, 0x096944d6, 0xa3b96f15, 0xc2fd9245), + (0xa7007778, 0xae6933ae, 0x0dd05cbb, 0xcf2dcefe), + (0xff8bccf2, 0x51e2ff5c, 0x5c32a3e7, 0x931f6d19), + (0x24b7182e, 0x7555e772, 0x29674495, 0xba78298c), + (0xae127cda, 0xdb479ba8, 0xf220df3d, 0x4858f6b1)) + + nist_aes128_key = (0x2b7e1516, 0x28aed2a6, 0xabf71588, 0x09cf4f3c) + exp_nist128_key = ((0x2b7e1516, 0x28aed2a6, 0xabf71588, 0x09cf4f3c), + (0xa0fafe17, 0x88542cb1, 0x23a33939, 0x2a6c7605), + (0xf2c295f2, 0x7a96b943, 0x5935807a, 0x7359f67f), + (0x3d80477d, 0x4716fe3e, 0x1e237e44, 0x6d7a883b), + (0xef44a541, 0xa8525b7f, 0xb671253b, 0xdb0bad00), + (0xd4d1c6f8, 0x7c839d87, 0xcaf2b8bc, 0x11f915bc), + (0x6d88a37a, 0x110b3efd, 0xdbf98641, 0xca0093fd), + (0x4e54f70e, 0x5f5fc9f3, 0x84a64fb2, 0x4ea6dc4f), + (0xead27321, 0xb58dbad2, 0x312bf560, 0x7f8d292f), + (0xac7766f3, 0x19fadc21, 0x28d12941, 0x575c006e), + (0xd014f9a8, 0xc9ee2589, 0xe13f0cc8, 0xb6630ca6)) + + + # 256 bit keys. + key256_1 = (0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x0000000) + exp256_1 = ((0x00000000, 0x00000000, 0x00000000, 0x00000000), + (0x00000000, 0x00000000, 0x00000000, 0x00000000), + (0x62636363, 0x62636363, 0x62636363, 0x62636363), + (0xaafbfbfb, 0xaafbfbfb, 0xaafbfbfb, 0xaafbfbfb), + (0x6f6c6ccf, 0x0d0f0fac, 0x6f6c6ccf, 0x0d0f0fac), + (0x7d8d8d6a, 0xd7767691, 0x7d8d8d6a, 0xd7767691), + (0x5354edc1, 0x5e5be26d, 0x31378ea2, 0x3c38810e), + (0x968a81c1, 0x41fcf750, 0x3c717a3a, 0xeb070cab), + (0x9eaa8f28, 0xc0f16d45, 0xf1c6e3e7, 0xcdfe62e9), + (0x2b312bdf, 0x6acddc8f, 0x56bca6b5, 0xbdbbaa1e), + (0x6406fd52, 0xa4f79017, 0x553173f0, 0x98cf1119), + (0x6dbba90b, 0x07767584, 0x51cad331, 0xec71792f), + (0xe7b0e89c, 0x4347788b, 0x16760b7b, 0x8eb91a62), + (0x74ed0ba1, 0x739b7e25, 0x2251ad14, 0xce20d43b), + (0x10f80a17, 0x53bf729c, 0x45c979e7, 0xcb706385)) + + + key256_2 = (0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, + 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff) + exp256_2 = ((0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff), + (0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff), + (0xe8e9e9e9, 0x17161616, 0xe8e9e9e9, 0x17161616), + (0x0fb8b8b8, 0xf0474747, 0x0fb8b8b8, 0xf0474747), + (0x4a494965, 0x5d5f5f73, 0xb5b6b69a, 0xa2a0a08c), + (0x355858dc, 0xc51f1f9b, 0xcaa7a723, 0x3ae0e064), + (0xafa80ae5, 0xf2f75596, 0x4741e30c, 0xe5e14380), + (0xeca04211, 0x29bf5d8a, 0xe318faa9, 0xd9f81acd), + (0xe60ab7d0, 0x14fde246, 0x53bc014a, 0xb65d42ca), + (0xa2ec6e65, 0x8b5333ef, 0x684bc946, 0xb1b3d38b), + (0x9b6c8a18, 0x8f91685e, 0xdc2d6914, 0x6a702bde), + (0xa0bd9f78, 0x2beeac97, 0x43a565d1, 0xf216b65a), + (0xfc223491, 0x73b35ccf, 0xaf9e35db, 0xc5ee1e05), + (0x0695ed13, 0x2d7b4184, 0x6ede2455, 0x9cc8920f), + (0x546d424f, 0x27de1e80, 0x88402b5b, 0x4dae355e)) + + + key256_3 = (0x00010203, 0x04050607, 0x08090a0b, 0x0c0d0e0f, + 0x10111213, 0x14151617, 0x18191a1b, 0x1c1d1e1f) + exp256_3 = ((0x00010203, 0x04050607, 0x08090a0b, 0x0c0d0e0f), + (0x10111213, 0x14151617, 0x18191a1b, 0x1c1d1e1f), + (0xa573c29f, 0xa176c498, 0xa97fce93, 0xa572c09c), + (0x1651a8cd, 0x0244beda, 0x1a5da4c1, 0x0640bade), + (0xae87dff0, 0x0ff11b68, 0xa68ed5fb, 0x03fc1567), + (0x6de1f148, 0x6fa54f92, 0x75f8eb53, 0x73b8518d), + (0xc656827f, 0xc9a79917, 0x6f294cec, 0x6cd5598b), + (0x3de23a75, 0x524775e7, 0x27bf9eb4, 0x5407cf39), + (0x0bdc905f, 0xc27b0948, 0xad5245a4, 0xc1871c2f), + (0x45f5a660, 0x17b2d387, 0x300d4d33, 0x640a820a), + (0x7ccff71c, 0xbeb4fe54, 0x13e6bbf0, 0xd261a7df), + (0xf01afafe, 0xe7a82979, 0xd7a5644a, 0xb3afe640), + (0x2541fe71, 0x9bf50025, 0x8813bbd5, 0x5a721c0a), + (0x4e5a6699, 0xa9f24fe0, 0x7e572baa, 0xcdf8cdea), + (0x24fc79cc, 0xbf0979e9, 0x371ac23c, 0x6d68de36)) + + + nist_aes256_key = (0x603deb10, 0x15ca71be, 0x2b73aef0, 0x857d7781, + 0x1f352c07, 0x3b6108d7, 0x2d9810a3, 0x0914dff4) + + exp_nist256_key = ((0x603deb10, 0x15ca71be, 0x2b73aef0, 0x857d7781), + (0x1f352c07, 0x3b6108d7, 0x2d9810a3, 0x0914dff4), + (0x9ba35411, 0x8e6925af, 0xa51a8b5f, 0x2067fcde), + (0xa8b09c1a, 0x93d194cd, 0xbe49846e, 0xb75d5b9a), + (0xd59aecb8, 0x5bf3c917, 0xfee94248, 0xde8ebe96), + (0xb5a9328a, 0x2678a647, 0x98312229, 0x2f6c79b3), + (0x812c81ad, 0xdadf48ba, 0x24360af2, 0xfab8b464), + (0x98c5bfc9, 0xbebd198e, 0x268c3ba7, 0x09e04214), + (0x68007bac, 0xb2df3316, 0x96e939e4, 0x6c518d80), + (0xc814e204, 0x76a9fb8a, 0x5025c02d, 0x59c58239), + (0xde136967, 0x6ccc5a71, 0xfa256395, 0x9674ee15), + (0x5886ca5d, 0x2e2f31d7, 0x7e0af1fa, 0x27cf73c3), + (0x749c47ab, 0x18501dda, 0xe2757e4f, 0x7401905a), + (0xcafaaae3, 0xe4d59b34, 0x9adf6ace, 0xbd10190d), + (0xfe4890d1, 0xe6188d0b, 0x046df344, 0x706c631e)) + + print("*** Test of 128 bit keys: ***") + test_key(key128_1, exp128_1) + test_key(key128_2, exp128_2) + test_key(key128_3, exp128_3) + test_key(key128_4, exp128_4) + + print("The NIST 128 key:") + test_key(nist_aes128_key, exp_nist128_key) + print("") + + + print("*** Test of 256 bit keys: ***") + test_key(key256_1, exp256_1) + test_key(key256_2, exp256_2) + test_key(key256_3, exp256_3) + + print("The NIST 256 key:") + test_key(nist_aes256_key, exp_nist256_key) + print("") + + print("") + + +#------------------------------------------------------------------- +# main() +# +# If executed tests the ChaCha class using known test vectors. +#------------------------------------------------------------------- +def main(): + print("Testing the AES key generation") + print("==============================") + print + + test_key_expansion() + + +#------------------------------------------------------------------- +# __name__ +# Python thingy which allows the file to be run standalone as +# well as parsed from within a Python interpreter. +#------------------------------------------------------------------- +if __name__=="__main__": + # Run the main function. + sys.exit(main()) + +#======================================================================= +# EOF aes_key_gen.py +#======================================================================= diff --git a/src/model/python/rcon.py b/src/model/python/rcon.py new file mode 100644 index 0000000..ffc0140 --- /dev/null +++ b/src/model/python/rcon.py @@ -0,0 +1,585 @@ +#!/usr/bin/env python3 +# -*- coding: utf-8 -*- +#======================================================================= +# +# aes_key_gen.py +# ------------- +# Simple, pure Python test model of the AES key generation. +# +# +# Author: Joachim Strombergson +# Copyright (c) 2014, SUNET +# All rights reserved. +# +# Redistribution and use in source and binary forms, with or +# without modification, are permitted provided that the following +# conditions are met: +# +# 1. Redistributions of source code must retain the above copyright +# notice, this list of conditions and the following disclaimer. +# +# 2. Redistributions in binary form must reproduce the above copyright +# notice, this list of conditions and the following disclaimer in +# the documentation and/or other materials provided with the +# distribution. +# +# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +# STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +# ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF +# ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +# +#======================================================================= + +#------------------------------------------------------------------- +# Python module imports. +#------------------------------------------------------------------- +import sys + + +#------------------------------------------------------------------- +# Constants. +#------------------------------------------------------------------- +VERBOSE = True + +AES_128_ROUNDS = 10 +AES_192_ROUNDS = 12 +AES_256_ROUNDS = 14 + + +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] + + +#------------------------------------------------------------------- +# substw() +# +# Returns a 32-bit word in which each of the bytes in the +# given 32-bit word has been used as lookup into the AES S-box. +#------------------------------------------------------------------- +def substw(w): + b0 = w >> 24 + b1 = w >> 16 & 0xff + b2 = w >> 8 & 0xff + b3 = w & 0xff + + s0 = sbox[b0] + s1 = sbox[b1] + s2 = sbox[b2] + s3 = sbox[b3] + + return (s0 << 24) + (s1 << 16) + (s2 << 8) + s3 + + +#------------------------------------------------------------------- +# rol8() +# +# Rotate the given 32 bit word 8 bits left. +#------------------------------------------------------------------- +def rol8(w): + return ((w << 8) | (w >> 24)) & 0xffffffff + + +#------------------------------------------------------------------- +# next_words() +# +# Generate the next four key words based on given rcon and +# previous key words. +#------------------------------------------------------------------- +def next_words(prev_words, rcon): + (prev_x0, prev_x1, prev_x2, prev_x3) = prev_words + tmp = substw(rol8(prev_x3)) ^ (rcon << 24) + x0 = prev_x0 ^ tmp + x1 = prev_x1 ^ x0 + x2 = prev_x2 ^ x1 + x3 = prev_x3 ^ x2 + return (x0, x1, x2, x3) + + +#------------------------------------------------------------------- +# key_gen() +# +# The actual key generation. +#------------------------------------------------------------------- +def key_gen(key): + nr_rounds = {4:AES_128_ROUNDS, 6:AES_192_ROUNDS, 8:AES_256_ROUNDS}[len(key)] + if VERBOSE: + print("Generating keys for AES-%d." % (len(key) * 32)) + + round_keys = [] + if nr_rounds == AES_128_ROUNDS: + round_keys.append(key) + + elif nr_rounds == AES_192_ROUNDS: + (k0, k1, k2, k3, k4, k5) = key + round_keys.append((k0, k1, k2, k3)) + rcon = ((0x8d << 1) ^ (0x11b & - (0x8d >> 7))) & 0xff + (x0, x1, x2, x3) = next_words((k0, k1, k2, k3), rcon) + round_keys.append((k4, k5, x2, x3)) + nr_rounds -= 1 + + else: + # nr_rounds == AES_192_ROUNDS + (k0, k1, k2, k3, k4, k5, k6, k7) = key + round_keys.append((k0, k1, k2, k3)) + round_keys.append((k4, k5, k6, k7)) + nr_rounds -= 1 + + rcon = 0x8d + + for i in range(0, nr_rounds): + rcon = ((rcon << 1) ^ (0x11b & - (rcon >> 7))) & 0xff + round_keys.append(next_words(round_keys[i], rcon)) + + return round_keys + + +#------------------------------------------------------------------- +# sam_rcon() +# +# Function implementation of rcon. Calculates rcon for a +# given round. This could be implemented as an iterator +#------------------------------------------------------------------- +def sam_rcon(round): + rcon = 0x8d + + for i in range(0, round): + rcon = ((rcon << 1) ^ (0x11b & - (rcon >> 7))) & 0xff + + return rcon + + +#------------------------------------------------------------------- +# sam_schedule_core() +# +# Perform the rotate and SubBytes operation used in all schedules. +#------------------------------------------------------------------- +def sam_schedule_core(word, i): + # Rotate one byte left + word = word[1 : 4] + [word[0]] + + # Perform SubBytes on all bytes in the word. + for a in range(4): + word[a] = sbox[word[a]] + + # XOR with rcon on the first byte + rcon = sam_rcon(i) + print("rcon = 0x%02x" % rcon) + word[0] = word[0] ^ rcon + + return word + + +#------------------------------------------------------------------- +# sam_128_bit_key_expansion() +# +# Byte based key expansion for 128 bit keys by Sam Trenholme: +# http://www.samiam.org/key-schedule.html +# +# the key here should be supplied as an array of bytes. +# The array will be updated during processing. +#------------------------------------------------------------------- +def sam_128_bit_key_expansion(key): + t = [0] * 4 + expkey = [0x0] * (11 * 16) + expkey[0:15] = key[:] + + # c is 16 because the first sub-key is the user-supplied key + c = 16; + i = 1; + + # We need 11 sets of sixteen bytes each for 128-bit mode + # 11 * 16 = 176 + while (c < 176): + # Copy the temporary variable over from the last 4-byte block + for a in range(4): + t[a] = expkey[a + c - 4] + + # Every four blocks (of four bytes), do a complex calculation */ + if (c % 16 == 0): + t = sam_schedule_core(t, i) + i += 1 + + # New key is old key xored with the copied and possibly + # transformed word. + for a in range(4): + expkey[c] = expkey[c - 16] ^ t[a] + c += 1 + + return expkey + + +#------------------------------------------------------------------- +# sam_192_bit_key_expansion() +# +# Byte based key expansion for 192 bit keys by Sam Trenholme: +# http://www.samiam.org/key-schedule.html +#------------------------------------------------------------------- +def sam_192_bit_key_expansion(key): + pass +#void expand_key(unsigned char *key) { +# unsigned char t[4]; +# unsigned char c = 24; +# unsigned char i = 1; +# unsigned char a; +# while(c < 208) { +# /* Copy the temporary variable over */ +# for(a = 0; a < 4; a++) +# t[a] = key[a + c - 4]; +# /* Every six sets, do a complex calculation */ +# if(c % 24 == 0) { +# schedule_code(t,i); +# i++; +# } +# for(a = 0; a < 4; a++) { +# key[c] = key[c - 24] ^ t[a]; +# c++; +# } +# } +#} + + + + +#------------------------------------------------------------------- +# sam_256_bit_key_expansion() +# +# Byte based key expansion for 256 bit keys by Sam Trenholme: +# http://www.samiam.org/key-schedule.html +#------------------------------------------------------------------- +def sam_256_bit_key_expansion(key): + pass +#void expand_key(unsigned char *key) { +# unsigned char t[4]; +# unsigned char c = 32; +# unsigned char i = 1; +# unsigned char a; +# while(c < 240) { +# /* Copy the temporary variable over */ +# for(a = 0; a < 4; a++) +# t[a] = key[a + c - 4]; +# /* Every eight sets, do a complex calculation */ +# if(c % 32 == 0) { +# schedule_core(t,i); +# i++; +# } +# /* For 256-bit keys, we add an extra sbox to the +# * calculation */ +# if(c % 32 == 16) { +# for(a = 0; a < 4; a++) +# t[a] = sbox(t[a]); +# } +# for(a = 0; a < 4; a++) { +# key[c] = key[c - 32] ^ t[a]; +# c++; +# } +# } +#} + + +#------------------------------------------------------------------- +# print_bytekeys() +# +# Print a set of round keys given as an array of bytes. +#------------------------------------------------------------------- +def print_bytekeys(keys): + i = 0 + print("Number of round keys: %d" % (int(len(keys) / 16))) + while i < (len(keys) - 1): + for j in range(16): + print("0x%02x " % keys[i + j], end="") + print("") + i += 16 + + +#------------------------------------------------------------------- +# test_key() +# +# Generate round keys for a given key and compare them to +# the given expected round keys. +#------------------------------------------------------------------- +def test_key(key, expected): + if len(key) not in [4, 6, 8]: + print("Error: Key is %d bits, not 128, 192 or 256 bits" % (len(key) * 32)) + return + + generated = key_gen(key) + + if (len(generated) != len(expected)): + print("Error: Incorrect number of keys generated.") + print("Expected number of round keys: %d" % len(expected)) + print("Got number of round keys: %d" % len(generated)) + + for i in range(len(generated)): + exp = expected[i] + got = generated[i] + if (exp != got): + print("Error: Error in round key %d." % i) + (e0, e1, e2, e3) = exp + (g0, g1, g2, g3) = got + print("Expected: 0x%08x 0x%08x 0x%08x 0x%08x"\ + % (e0, e1, e2, e3)) + print("Got: 0x%08x 0x%08x 0x%08x 0x%08x"\ + % (g0, g1, g2, g3)) + + +#------------------------------------------------------------------- +# test_key_expansion() +# +# Perform key expansion tests. +# The test keys and expected round keys are taken from: +# http://www.samiam.org/key-schedule.html +#------------------------------------------------------------------- +def test_key_expansion(): + # recon-test + print("rcon test:") + for i in range(20): + print("rcon %02d = 0x%02x" % (i, sam_rcon(i))) + + # Test of sam-implementations. + sam_key128_1 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00] + + my_expkey = sam_128_bit_key_expansion(sam_key128_1) + print_bytekeys(my_expkey) + + + # 128 bit keys. +# key128_1 = (0x00000000, 0x00000000, 0x00000000, 0x00000000) +# exp128_1 = ((0x00000000, 0x00000000, 0x00000000, 0x00000000), +# (0x62636363, 0x62636363, 0x62636363, 0x62636363), +# (0x9b9898c9, 0xf9fbfbaa, 0x9b9898c9, 0xf9fbfbaa), +# (0x90973450, 0x696ccffa, 0xf2f45733, 0x0b0fac99), +# (0xee06da7b, 0x876a1581, 0x759e42b2, 0x7e91ee2b), +# (0x7f2e2b88, 0xf8443e09, 0x8dda7cbb, 0xf34b9290), +# (0xec614b85, 0x1425758c, 0x99ff0937, 0x6ab49ba7), +# (0x21751787, 0x3550620b, 0xacaf6b3c, 0xc61bf09b), +# (0x0ef90333, 0x3ba96138, 0x97060a04, 0x511dfa9f), +# (0xb1d4d8e2, 0x8a7db9da, 0x1d7bb3de, 0x4c664941), +# (0xb4ef5bcb, 0x3e92e211, 0x23e951cf, 0x6f8f188e)) +# +# key128_2 = (0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff) +# exp128_2 = ((0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff), +# (0xe8e9e9e9, 0x17161616, 0xe8e9e9e9, 0x17161616), +# (0xadaeae19, 0xbab8b80f, 0x525151e6, 0x454747f0), +# (0x090e2277, 0xb3b69a78, 0xe1e7cb9e, 0xa4a08c6e), +# (0xe16abd3e, 0x52dc2746, 0xb33becd8, 0x179b60b6), +# (0xe5baf3ce, 0xb766d488, 0x045d3850, 0x13c658e6), +# (0x71d07db3, 0xc6b6a93b, 0xc2eb916b, 0xd12dc98d), +# (0xe90d208d, 0x2fbb89b6, 0xed5018dd, 0x3c7dd150), +# (0x96337366, 0xb988fad0, 0x54d8e20d, 0x68a5335d), +# (0x8bf03f23, 0x3278c5f3, 0x66a027fe, 0x0e0514a3), +# (0xd60a3588, 0xe472f07b, 0x82d2d785, 0x8cd7c326)) +# +# key128_3 = (0x00010203, 0x04050607, 0x08090a0b, 0x0c0d0e0f) +# exp128_3 = ((0x00010203, 0x04050607, 0x08090a0b, 0x0c0d0e0f), +# (0xd6aa74fd, 0xd2af72fa, 0xdaa678f1, 0xd6ab76fe), +# (0xb692cf0b, 0x643dbdf1, 0xbe9bc500, 0x6830b3fe), +# (0xb6ff744e, 0xd2c2c9bf, 0x6c590cbf, 0x0469bf41), +# (0x47f7f7bc, 0x95353e03, 0xf96c32bc, 0xfd058dfd), +# (0x3caaa3e8, 0xa99f9deb, 0x50f3af57, 0xadf622aa), +# (0x5e390f7d, 0xf7a69296, 0xa7553dc1, 0x0aa31f6b), +# (0x14f9701a, 0xe35fe28c, 0x440adf4d, 0x4ea9c026), +# (0x47438735, 0xa41c65b9, 0xe016baf4, 0xaebf7ad2), +# (0x549932d1, 0xf0855768, 0x1093ed9c, 0xbe2c974e), +# (0x13111d7f, 0xe3944a17, 0xf307a78b, 0x4d2b30c5)) +# +# key128_4 = (0x6920e299, 0xa5202a6d, 0x656e6368, 0x69746f2a) +# exp128_4 = ((0x6920e299, 0xa5202a6d, 0x656e6368, 0x69746f2a), +# (0xfa880760, 0x5fa82d0d, 0x3ac64e65, 0x53b2214f), +# (0xcf75838d, 0x90ddae80, 0xaa1be0e5, 0xf9a9c1aa), +# (0x180d2f14, 0x88d08194, 0x22cb6171, 0xdb62a0db), +# (0xbaed96ad, 0x323d1739, 0x10f67648, 0xcb94d693), +# (0x881b4ab2, 0xba265d8b, 0xaad02bc3, 0x6144fd50), +# (0xb34f195d, 0x096944d6, 0xa3b96f15, 0xc2fd9245), +# (0xa7007778, 0xae6933ae, 0x0dd05cbb, 0xcf2dcefe), +# (0xff8bccf2, 0x51e2ff5c, 0x5c32a3e7, 0x931f6d19), +# (0x24b7182e, 0x7555e772, 0x29674495, 0xba78298c), +# (0xae127cda, 0xdb479ba8, 0xf220df3d, 0x4858f6b1)) +# +# # 192 bit keys. +# key192_1 = (0x00000000, 0x00000000, 0x00000000, +# 0x00000000, 0x00000000, 0x00000000) +# exp192_1 = ((0x00000000, 0x00000000, 0x00000000, 0x00000000), +# (0x00000000, 0x00000000, 0x62636363, 0x62636363), +# (0x62636363, 0x62636363, 0x62636363, 0x62636363), +# (0x9b9898c9, 0xf9fbfbaa, 0x9b9898c9, 0xf9fbfbaa), +# (0x9b9898c9, 0xf9fbfbaa, 0x90973450, 0x696ccffa), +# (0xf2f45733, 0x0b0fac99, 0x90973450, 0x696ccffa), +# (0xc81d19a9, 0xa171d653, 0x53858160, 0x588a2df9), +# (0xc81d19a9, 0xa171d653, 0x7bebf49b, 0xda9a22c8), +# (0x891fa3a8, 0xd1958e51, 0x198897f8, 0xb8f941ab), +# (0xc26896f7, 0x18f2b43f, 0x91ed1797, 0x407899c6), +# (0x59f00e3e, 0xe1094f95, 0x83ecbc0f, 0x9b1e0830), +# (0x0af31fa7, 0x4a8b8661, 0x137b885f, 0xf272c7ca), +# (0x432ac886, 0xd834c0b6, 0xd2c7df11, 0x984c5970)) +# +# key192_2 = (0xffffffff, 0xffffffff, 0xffffffff, +# 0xffffffff, 0xffffffff, 0xffffffff) +# exp192_2 = ((0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff), +# (0xffffffff, 0xffffffff, 0xe8e9e9e9, 0x17161616), +# (0xe8e9e9e9, 0x17161616, 0xe8e9e9e9, 0x17161616), +# (0xadaeae19, 0xbab8b80f, 0x525151e6, 0x454747f0), +# (0xadaeae19, 0xbab8b80f, 0xc5c2d8ed, 0x7f7a60e2), +# (0x2d2b3104, 0x686c76f4, 0xc5c2d8ed, 0x7f7a60e2), +# (0x1712403f, 0x686820dd, 0x454311d9, 0x2d2f672d), +# (0xe8edbfc0, 0x9797df22, 0x8f8cd3b7, 0xe7e4f36a), +# (0xa2a7e2b3, 0x8f88859e, 0x67653a5e, 0xf0f2e57c), +# (0x2655c33b, 0xc1b13051, 0x6316d2e2, 0xec9e577c), +# (0x8bfb6d22, 0x7b09885e, 0x67919b1a, 0xa620ab4b), +# (0xc53679a9, 0x29a82ed5, 0xa25343f7, 0xd95acba9), +# (0x598e482f, 0xffaee364, 0x3a989acd, 0x1330b418)) +# +# key192_3 = (0x00010203, 0x04050607, 0x08090a0b, +# 0x0c0d0e0f, 0x10111213, 0x14151617) +# exp192_3 = ((0x00010203, 0x04050607, 0x08090a0b, 0x0c0d0e0f), +# (0x10111213, 0x14151617, 0x5846f2f9, 0x5c43f4fe), +# (0x544afef5, 0x5847f0fa, 0x4856e2e9, 0x5c43f4fe), +# (0x40f949b3, 0x1cbabd4d, 0x48f043b8, 0x10b7b342), +# (0x58e151ab, 0x04a2a555, 0x7effb541, 0x6245080c), +# (0x2ab54bb4, 0x3a02f8f6, 0x62e3a95d, 0x66410c08), +# (0xf5018572, 0x97448d7e, 0xbdf1c6ca, 0x87f33e3c), +# (0xe5109761, 0x83519b69, 0x34157c9e, 0xa351f1e0), +# (0x1ea0372a, 0x99530916, 0x7c439e77, 0xff12051e), +# (0xdd7e0e88, 0x7e2fff68, 0x608fc842, 0xf9dcc154), +# (0x859f5f23, 0x7a8d5a3d, 0xc0c02952, 0xbeefd63a), +# (0xde601e78, 0x27bcdf2c, 0xa223800f, 0xd8aeda32), +# (0xa4970a33, 0x1a78dc09, 0xc418c271, 0xe3a41d5d)) +# +# # 256 bit keys. +# key256_1 = (0x00000000, 0x00000000, 0x00000000, 0x00000000, +# 0x00000000, 0x00000000, 0x00000000, 0x0000000) +# exp256_1 = ((0x00000000, 0x00000000, 0x00000000, 0x00000000), +# (0x00000000, 0x00000000, 0x00000000, 0x00000000), +# (0x62636363, 0x62636363, 0x62636363, 0x62636363), +# (0xaafbfbfb, 0xaafbfbfb, 0xaafbfbfb, 0xaafbfbfb), +# (0x6f6c6ccf, 0x0d0f0fac, 0x6f6c6ccf, 0x0d0f0fac), +# (0x7d8d8d6a, 0xd7767691, 0x7d8d8d6a, 0xd7767691), +# (0x5354edc1, 0x5e5be26d, 0x31378ea2, 0x3c38810e), +# (0x968a81c1, 0x41fcf750, 0x3c717a3a, 0xeb070cab), +# (0x9eaa8f28, 0xc0f16d45, 0xf1c6e3e7, 0xcdfe62e9), +# (0x2b312bdf, 0x6acddc8f, 0x56bca6b5, 0xbdbbaa1e), +# (0x6406fd52, 0xa4f79017, 0x553173f0, 0x98cf1119), +# (0x6dbba90b, 0x07767584, 0x51cad331, 0xec71792f), +# (0xe7b0e89c, 0x4347788b, 0x16760b7b, 0x8eb91a62), +# (0x74ed0ba1, 0x739b7e25, 0x2251ad14, 0xce20d43b), +# (0x10f80a17, 0x53bf729c, 0x45c979e7, 0xcb706385)) +# +# key256_2 = (0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, +# 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff) +# exp256_2 = ((0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff), +# (0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff), +# (0xe8e9e9e9, 0x17161616, 0xe8e9e9e9, 0x17161616), +# (0x0fb8b8b8, 0xf0474747, 0x0fb8b8b8, 0xf0474747), +# (0x4a494965, 0x5d5f5f73, 0xb5b6b69a, 0xa2a0a08c), +# (0x355858dc, 0xc51f1f9b, 0xcaa7a723, 0x3ae0e064), +# (0xafa80ae5, 0xf2f75596, 0x4741e30c, 0xe5e14380), +# (0xeca04211, 0x29bf5d8a, 0xe318faa9, 0xd9f81acd), +# (0xe60ab7d0, 0x14fde246, 0x53bc014a, 0xb65d42ca), +# (0xa2ec6e65, 0x8b5333ef, 0x684bc946, 0xb1b3d38b), +# (0x9b6c8a18, 0x8f91685e, 0xdc2d6914, 0x6a702bde), +# (0xa0bd9f78, 0x2beeac97, 0x43a565d1, 0xf216b65a), +# (0xfc223491, 0x73b35ccf, 0xaf9e35db, 0xc5ee1e05), +# (0x0695ed13, 0x2d7b4184, 0x6ede2455, 0x9cc8920f), +# (0x546d424f, 0x27de1e80, 0x88402b5b, 0x4dae355e)) +# +# key256_3 = (0x00010203, 0x04050607, 0x08090a0b, 0x0c0d0e0f, +# 0x10111213, 0x14151617, 0x18191a1b, 0x1c1d1e1f) +# exp256_3 = ((0x00010203, 0x04050607, 0x08090a0b, 0x0c0d0e0f), +# (0x10111213, 0x14151617, 0x18191a1b, 0x1c1d1e1f), +# (0xa573c29f, 0xa176c498, 0xa97fce93, 0xa572c09c), +# (0x1651a8cd, 0x0244beda, 0x1a5da4c1, 0x0640bade), +# (0xae87dff0, 0x0ff11b68, 0xa68ed5fb, 0x03fc1567), +# (0x6de1f148, 0x6fa54f92, 0x75f8eb53, 0x73b8518d), +# (0xc656827f, 0xc9a79917, 0x6f294cec, 0x6cd5598b), +# (0x3de23a75, 0x524775e7, 0x27bf9eb4, 0x5407cf39), +# (0x0bdc905f, 0xc27b0948, 0xad5245a4, 0xc1871c2f), +# (0x45f5a660, 0x17b2d387, 0x300d4d33, 0x640a820a), +# (0x7ccff71c, 0xbeb4fe54, 0x13e6bbf0, 0xd261a7df), +# (0xf01afafe, 0xe7a82979, 0xd7a5644a, 0xb3afe640), +# (0x2541fe71, 0x9bf50025, 0x8813bbd5, 0x5a721c0a), +# (0x4e5a6699, 0xa9f24fe0, 0x7e572baa, 0xcdf8cdea), +# (0x24fc79cc, 0xbf0979e9, 0x371ac23c, 0x6d68de36)) +# +# print("*** Test of 128 bit keys: ***") +# test_key(key128_1, exp128_1) +# test_key(key128_2, exp128_2) +# test_key(key128_3, exp128_3) +# test_key(key128_4, exp128_4) +# print("") +# +# print("*** Test of 192 bit keys: ***") +# test_key(key192_1, exp192_1) +# test_key(key192_2, exp192_2) +# test_key(key192_3, exp192_3) +# print("") +# +# print("*** Test of 256 bit keys: ***") +# test_key(key256_1, exp256_1) +# test_key(key256_2, exp256_2) +# test_key(key256_3, exp256_3) +# print("") + + +#------------------------------------------------------------------- +# main() +# +# If executed tests the ChaCha class using known test vectors. +#------------------------------------------------------------------- +def main(): + print("Testing the AES key generation") + print("==============================") + print + + test_key_expansion() + + +#------------------------------------------------------------------- +# __name__ +# Python thingy which allows the file to be run standalone as +# well as parsed from within a Python interpreter. +#------------------------------------------------------------------- +if __name__=="__main__": + # Run the main function. + sys.exit(main()) + +#======================================================================= +# EOF aes_key_gen.py +#======================================================================= -- cgit v1.2.3