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@maple3142
Created July 7, 2024 09:57
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DownUnderCTF 2024 Quals - three line crypto
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import json
import numpy as np
import functools as fn
import os
import random
with open("ngrams.json") as f:
ngrams = json.load(f)
with open("passage.enc.txt", "rb") as f:
ENC = f.read()
def decrypt(ct, key):
assert len(key) == 16
q, y = key, 0
pt = []
for x in ct:
r = q[y % 16] ^ x
pt.append(r)
y = r
return bytes(pt)
# mul = len(ct) // 16 + 1
# key = np.array(key, dtype=np.uint8).repeat(mul)[: len(ct)]
# return ct ^ key
@fn.lru_cache(10000)
def get_trigram(x):
try:
x = bytes(x).decode()
except UnicodeDecodeError:
return -25
y = ngrams.get(x)
if y is not None:
return y
ys = []
a, b = ngrams.get(x[:2]), ngrams.get(x[2:])
if a is not None and b is not None:
ys.append(a + b)
a, b = ngrams.get(x[:1]), ngrams.get(x[1:])
if a is not None and b is not None:
ys.append(a + b)
if len(ys):
return max(ys)
if any(c not in ngrams for c in x):
return -25
return sum(map(ngrams.get, x))
FULL_CT_ARR = np.array(list(ENC), dtype=np.uint8)
CT_ARR = np.array(list(ENC[:1000]), dtype=np.uint8)
@fn.lru_cache(10000)
def fitness(key):
plain = decrypt(CT_ARR, key)
tgs = zip(plain, plain[1:], plain[2:])
score = sum(get_trigram(tg) for tg in tgs)
return score
def initialize(size):
keys = []
for _ in range(size):
keys.append(list(os.urandom(16)))
keys[-1][0] = ENC[0] ^ ord(
"W"
) # not needed, but this would make it much faster
return keys
def crossover(a, b, prob):
r = list(a)
for i in range(len(r)):
if random.random() < prob:
r[i] = b[i]
return tuple(r)
def mutate(a):
r = list(a)
i = random.randrange(len(a))
r[i] = os.urandom(1)[0]
return tuple(r)
keys = np.array(initialize(2000), dtype=np.uint8)
for i in range(1000):
fitnesses = np.array([fitness(tuple(k)) for k in keys])
idx = fitnesses.argsort()[::-1][:500]
best_i = idx[0]
print(i, fitnesses[best_i], bytes(decrypt(CT_ARR, keys[best_i])), keys[best_i])
good_keys = keys[idx]
l = len(good_keys) // 2
next_gen = [crossover(a, b, 0.5) for a, b in zip(good_keys[:l], good_keys[l:])]
mutated = [mutate(k) for k in next_gen]
keys = np.concatenate((keys[idx], np.array(mutated)))
key = keys[best_i]
# [103 145 232 58 168 78 141 244 110 165 44 207 145 19 107 162]
print(bytes(decrypt(FULL_CT_ARR, key)))
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