Created
June 14, 2017 13:51
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Useless free start collision on SHA-3-256
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import binascii | |
def ROL64(a, n): | |
return ((a >> (64-(n%64))) + (a << (n%64))) % (1 << 64) | |
def KeccakF1600onLanes(lanes): | |
R = 1 | |
for round in range(24): | |
# θ | |
C = [lanes[x][0] ^ lanes[x][1] ^ lanes[x][2] ^ lanes[x][3] ^ lanes[x][4] for x in range(5)] | |
D = [C[(x+4)%5] ^ ROL64(C[(x+1)%5], 1) for x in range(5)] | |
lanes = [[lanes[x][y]^D[x] for y in range(5)] for x in range(5)] | |
# ρ and π | |
(x, y) = (1, 0) | |
current = lanes[x][y] | |
for t in range(24): | |
(x, y) = (y, (2*x+3*y)%5) | |
(current, lanes[x][y]) = (lanes[x][y], ROL64(current, (t+1)*(t+2)//2)) | |
# χ | |
for y in range(5): | |
T = [lanes[x][y] for x in range(5)] | |
for x in range(5): | |
lanes[x][y] = T[x] ^((~T[(x+1)%5]) & T[(x+2)%5]) | |
# ι | |
for j in range(7): | |
R = ((R << 1) ^ ((R >> 7)*0x71)) % 256 | |
if (R & 2): | |
lanes[0][0] = lanes[0][0] ^ (1 << ((1<<j)-1)) | |
return lanes | |
def load64(b): | |
return sum((b[i] << (8*i)) for i in range(8)) | |
def store64(a): | |
return list((a >> (8*i)) % 256 for i in range(8)) | |
def KeccakF1600(state): | |
lanes = [[load64(state[8*(x+5*y):8*(x+5*y)+8]) for y in range(5)] for x in range(5)] | |
lanes = KeccakF1600onLanes(lanes) | |
state = bytearray(200) | |
for x in range(5): | |
for y in range(5): | |
state[8*(x+5*y):8*(x+5*y)+8] = store64(lanes[x][y]) | |
return state; | |
def convert_anoying_bit_to_byte_array(ret, bits): | |
for x in range(5): | |
for y in range(5): | |
val = 0; | |
for z in range(8): | |
val += int(bits[(x+5*y)][z*8:(z+1)*8],2) << (8*(7-z)) | |
ret[8*(x+5*y):8*(x+5*y)+8] = store64(val) | |
return ret; | |
def xor_states(xored, st1, st2): | |
for x in range(200): | |
xored[x] = st1[x] ^ st2[x] | |
return xored | |
def Keccak(state, rate, capacity, inputBytes, delimitedSuffix, outputByteLen): | |
outputBytes = bytearray() | |
# state = bytearray([0 for i in range(200)]) | |
rateInBytes = rate//8 | |
blockSize = 0 | |
if (((rate + capacity) != 1600) or ((rate % 8) != 0)): | |
return | |
inputOffset = 0 | |
# === Absorb all the input blocks === | |
while(inputOffset < len(inputBytes)): | |
print("Before absorption :") | |
print(bytes.decode(binascii.hexlify(state))); | |
print() | |
blockSize = min(len(inputBytes)-inputOffset, rateInBytes) | |
for i in range(blockSize): | |
state[i] = state[i] ^ inputBytes[i+inputOffset] | |
print("After absorption :") | |
print(bytes.decode(binascii.hexlify(state))); | |
print() | |
inputOffset = inputOffset + blockSize | |
if (blockSize == rateInBytes): | |
state = KeccakF1600(state) | |
blockSize = 0 | |
# === Do the padding and switch to the squeezing phase === | |
state[blockSize] = state[blockSize] ^ delimitedSuffix | |
if (((delimitedSuffix & 0x80) != 0) and (blockSize == (rateInBytes-1))): | |
state = KeccakF1600(state) | |
state[rateInBytes-1] = state[rateInBytes-1] ^ 0x80 | |
state = KeccakF1600(state) | |
# === Squeeze out all the output blocks === | |
while(outputByteLen > 0): | |
blockSize = min(outputByteLen, rateInBytes) | |
outputBytes = outputBytes + state[0:blockSize] | |
outputByteLen = outputByteLen - blockSize | |
if (outputByteLen > 0): | |
state = KeccakF1600(state) | |
return outputBytes | |
def gen_next_absorb(toxor,toxor2): | |
ret = bytearray([0 for i in range(136)]) | |
for x in range(136): | |
ret[x] = toxor[x] ^ toxor2[x] | |
return ret | |
def cut_absorb(toxor): | |
ret = bytearray([0 for i in range(136)]) | |
for x in range(136): | |
ret[x] = toxor[x] | |
return ret | |
def cut_capacity(toxor): | |
ret = bytearray([0 for i in range(64)]) | |
for x in range(136,200): | |
ret[x-136] = toxor[x] | |
return ret | |
initial_vector_0=[ | |
'0001100010111010010011010010100010111011000100001110101001001100', | |
'1111101100111100001110010110111001100001110101101101101000100001', | |
'0110010010111111000111101000000100010010111101011110001011010101', | |
'0001111000111111111100011001100001110011100010010111100100000110', | |
'1101000001010010011100110101010101001111100100001111111111110011', | |
'0110101010110100110110010001100111011000100110001101000110011111', | |
'0101110001101010100010000100001101001111111000001101011000000101', | |
'1101001100001000101001000000111100011100000111011011010110000010', | |
'1111001100100111011011110011000101010100111010000001011100100111', | |
'0010101111001100000101011000100100100010010111111000111100101000', | |
'0100011010101111010000010011011101110010111001100101000000011101', | |
'0010001101111100001010110101000101011100110111010110110011110100', | |
'1110101011110000111111000001010011001011100101010100011101101100', | |
'1100110001100111011001110001001010000011110001110001101101000011', | |
'0000010011101111010111001100000111000101010001111001101010101011', | |
'1101011111011011011011110011010011001101011011100101101010000111', | |
'0011010101110100101011101010100101010001010011100001111010001001', | |
'1011100001001010001000001010110000111010001110101001100101011000', | |
'0000100000101101111101001000001011011001000101000001000010010101', | |
'0111011010010110100111111111110010011011000110111110000001010101', | |
'1010000111011001001101011110110000001001100010010110000000011100', | |
'1001001110001111000001000110100001100000110100011101000100100110', | |
'1011110010000110001111010011110101111101110001110010100010010001', | |
'1110101110011000011000000111010011010111101000110010110011011101', | |
'0001111011111100001000110001011101001110110001101110010000101001'] | |
next_block_0=[ | |
'1100111010000010101001100011001000100110110111001011010111101001', | |
'0101110001011011111011101001101011001101001001011000111101111100', | |
'1001001101001000101111101111011110010101110011111001001100000001', | |
'0101000010111111011000000000110001000111011100110001110110000010', | |
'0010001100100011010100011011010000110101111100110010110010010010', | |
'0010101001101000110000111111000110011000111000011010011101001011', | |
'1110110001111001011100011110100100010001100000010101010101001001', | |
'1001011000001110010101100001110011111001001000000000010011000010', | |
'1011111001011111000001101011000110110000111110011101001011100011', | |
'0001100111010001111110011001010011000111011010110010010000101010', | |
'0000101000001111101000101001000110001111000100011111010101110001', | |
'0000011101010101001110010000000111011100010001101010101100111010', | |
'1010101011000011110001111000111011000010110011110111100011110110', | |
'0000111100010100111001110001000000000001110111011110001000000000', | |
'0101001100100000011100111001111111001000110111111001010100101000', | |
'0010000111101100110101101011010100011111110010000001101000001100', | |
'1101001010100000111011000111100100000111011111101100101001111010', | |
'0000000000000000000000000000000000000000000000000000000000000000', | |
'0000000000000000000000000000000000000000000000000000000000000000', | |
'0000000000000000000000000000000000000000000000000000000000000000', | |
'0000000000000000000000000000000000000000000000000000000000000000', | |
'0000000000000000000000000000000000000000000000000000000000000000', | |
'0000000000000000000000000000000000000000000000000000000000000000', | |
'0000000000000000000000000000000000000000000000000000000000000000', | |
'0000000000000000000000000000000000000000000000000000000000000000'] | |
converted_initial_vector_0 = bytearray([0 for i in range(200)]) | |
converted_next_block_0 = bytearray([0 for i in range(200)]) | |
convert_anoying_bit_to_byte_array(converted_initial_vector_0,initial_vector_0); | |
convert_anoying_bit_to_byte_array(converted_next_block_0,next_block_0); | |
# print("vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv") | |
# print(bytes.decode(binascii.hexlify(cut_absorb(converted_initial_vector_0)))); | |
# print("ccccccccccccccccccccccccccccccccccccccccc") | |
# print(bytes.decode(binascii.hexlify(cut_capacity(converted_initial_vector_0)))); | |
# print("sssssssssssssssssssssssssssssssssssssssss") | |
t0 = KeccakF1600(converted_initial_vector_0) | |
t0_n = KeccakF1600(converted_next_block_0) | |
convert_anoying_bit_to_byte_array(converted_initial_vector_0,initial_vector_0); | |
convert_anoying_bit_to_byte_array(converted_next_block_0,next_block_0); | |
input1 = bytearray([0 for i in range(136)]) + bytearray([0 for i in range(136)]) | |
input2 = cut_absorb(converted_next_block_0) + gen_next_absorb(t0_n,t0) | |
print("-----------------------------------------") | |
print("input 1:") | |
print(bytes.decode(binascii.hexlify(input1))); | |
print("-----------------------------------------") | |
clean = bytearray([0 for i in range(200)]) | |
output = Keccak(converted_initial_vector_0,1088,512, input1, 0x06, 256//8) | |
print("resulting hash :") | |
print(bytes.decode(binascii.hexlify(output))); | |
print("#########################################") | |
print() | |
print("input 2:") | |
print(bytes.decode(binascii.hexlify(input2))); | |
print("-----------------------------------------") | |
output = Keccak(clean,1088,512, input2, 0x06, 256//8) | |
print("resulting hash :") | |
print(bytes.decode(binascii.hexlify(output))); |
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