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def rev_multiply(ciphertexts): | |
candidates, noncandidates = condition1(ciphertexts) | |
gcdd, key_scaler, _ = egcd(diff, 1 << 64) | |
keycounter = Counter() | |
for cand in candidates: | |
ci1, ci2 = map(int, cand, repeat(16)) | |
if (ci1 + ci2) % 2 != 0 or ci1 ^ ci2 == diff: | |
continue | |
kodd = (((ci1 + ci2) // gcdd) * key_scaler) % (1 << 64) | |
kcomp = int(''.join(comp(list(f'{kodd:064b}'), 0)), 2) | |
keycounter[kodd] += 1 | |
keycounter[kcomp] += 1 | |
return keycounter.most_common(1) | |
def crack_subkey(ciphertexts): | |
conf = 0 | |
k_pair = rev_multiply(ciphertexts) | |
if len(k_pair) < 1: | |
return None | |
k_odd, conf = k_pair[0] | |
# Cracking the subkey is a deterministic process | |
# If the confidence in the calculated subkey is too low, we have to try | |
# different keys | |
if conf <= 1: | |
return None | |
kcomp = int(''.join(comp(list(f'{k_odd:064b}'), 0)), 2) | |
return [k_odd, kcomp, k_odd ^ 1, kcomp ^ 1] |
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