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solve.py
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solve.py
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# __| 0 1 2 3 t
# … |
# … | …
# … | … !
# x | … ! .
# y | ! * . …
# z | * * . !
# u | * * . * # a^b^c^d; a^d; a^b; c
# v | ^ ^ ^ ^
#
# !: deduced from inverse table 2), and then after.
# dérivation suspecte (problème de théorie de l'information ?)
# à implem pour tester
from tight_schedule import os, TightSchedule as TS
S = TS.S
RCON = TS.RCON
# a b c d
# k p | 0 1 2 3 t | 0 1 2 3 t | 0 1 2 3 t | 0 1 2 3 t |
# ──────────────────────────────────────────────────────
# 0 0 | . | ^ ^ | ^ ^ | ^ ^ ^ ^ | ← k0
# 1 1 | ^ ^ b | ^ ^ | ^ ^ ^ ^ | . @ | ← k1
# 2 2 | ^ ^ | ^ ^ ^ ^ | . @ | ^ ^ b | ← k2
# 3 3 | ^ ^ ^ ^ | . @ | ^ ^ b | |
# 4 0 | * @ | ^ ^ b | ^ ^ | |
# 5 1 | ^ ^ b | ^ ^ | ^ ^ ^ ^ | * @ | ← round 5 of p+k0
# 6 2 | | | * @ | b |
# 7 3 | | * @ | b | |
# 8 0 | * @ | ^ ^ b | | |
# 9 1 | ^ ^ b | ^ ^ | | * @ |
# 10 2 | ^ ^ | ^ ^ ^ ^ | * @ | ^ ^ b | ← round 5 of p+k1
def xor(x, y):
return [x^y for x,y in zip(x, y)]
def blocks(x, n=4):
return [x[i:i+n] for i in range(0, len(x), n)]
def partial(k, phase):
bk = blocks(k)
a, b, c, d = 0, 1, 2, 3 # for readability
if phase == 0:
return [
bk[3][a],
bk[2][b] ^ bk[3][b],
bk[1][c] ^ bk[3][c],
bk[0][d] ^ bk[1][d] ^ bk[2][d] ^ bk[3][d],
]
if phase == 1:
return [
bk[2][a] ^ bk[3][a],
bk[1][b] ^ bk[3][b],
bk[0][c] ^ bk[1][c] ^ bk[2][c] ^ bk[3][c],
bk[3][d],
]
if phase == 2:
return [
bk[1][a] ^ bk[3][a],
bk[0][b] ^ bk[1][b] ^ bk[2][b] ^ bk[3][b],
bk[3][c],
bk[2][d] ^ bk[3][d],
]
if phase == 3:
return [
bk[0][a] ^ bk[1][a] ^ bk[2][a] ^ bk[3][a],
bk[3][b],
bk[2][c] ^ bk[3][c],
bk[1][d] ^ bk[3][d],
]
raise ValueError('phase should be one of 0,1,2,3')
def partial_round(partx, phase, cst=0):
a, b, c, d = partx
if phase == 0:
return [a, b, c, d ^ S[a]]
if phase == 1:
return [a, b, c ^ S[d], d]
if phase == 2:
return [a, b ^ S[c], c, d]
if phase == 3:
return [a ^ S[b] ^ cst, b, c, d]
raise ValueError('phase should be one of 0,1,2,3')
def partial_expand(partk, phase):
partrk = [partk]
for _ in range(10):
partrk.append(partial_round(partrk[-1], phase, RCON[len(partrk)]))
phase = (phase + 1) % 4
return partrk
def partial_encrypt(partp, partrk, phase):
c = partp
for sk in partrk[:-1]:
c = xor(c, sk)
for _ in range(5):
c = partial_round(c, phase)
phase = (phase + 1) % 4
return xor(c, partrk[-1]), phase
k = os.urandom(16)
p = os.urandom(16)
P = TS(k)
c = P.encrypt(p)
partk = partial(k, 0)
partrk = partial_expand(partk, 0)
partp = partial(p, 0)
partc, phase = partial_encrypt(partp, partrk, 0)
for i, (sk, partsk) in enumerate(zip(P.rk, partrk)):
assert partsk == partial(sk, i%4), f'failed #{i}'
assert partc == partial(c, phase)
print('Assertions passed!')
p = bytes.fromhex("0dfa4c6052fb87ef0a8f03f705dd5101")
c = bytes.fromhex("d4ed19e0694101b6b151e11c2db973bf")
iv = bytes.fromhex("cd31cb6e6ded184efbb9a398e31ffdbb")
flag_enc = bytes.fromhex("653ec0cdd7e3a98c33414be8ef07c583d87b876afbff1d960f8f43b5a338e9ff96d87da4406ebe39a439dab3a84697d40c24557cd1ea6f433053451d20ce1fbf191270f4b8cc7891f8779eb615d35c9f")
from tqdm import trange
for phase in range(4):
end_phase = (phase + 50) % 4
partp = partial(p, phase)
realc = partial(c, end_phase)
print(f'Bruting partial key relations (phase {phase})')
for partk in trange(2**32):
partk = [partk & 0xFF, (partk >> 8) & 0xFF, (partk >> 16) & 0xFF, (partk >> 24) & 0xFF]
partrk = partial_expand(partk, phase)
partc, _ = partial_encrypt(partp, partrk, phase)
if partc == realc:
print('DING DING DING!!!')
print('partk =', partk)
with open('partk.txt', 'a') as file:
file.write(f'phase{phase} = {partrk}')
break
else:
print('THIS. IS. A BUG! >:c')
print('DONE!')