Created
December 20, 2022 07:24
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Attack Vigenère cipher
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CIPHER = ''' | |
KCCPKBGUFDPHQTYAVINRRTMVGRKDNBVFDETDGILTXRGUDDKOTFMBPVGEGLTGCKQRACQCWDNAWCRXIZ | |
AKFTLEWRPTYCQKYVXCHKFTPONCQQRHJVAJUWETMCMSPKQDYHJVDAHCTRLSVSKCGCZQQDZXGSFRLSWC | |
WSJTBHAFSIASPRJAHKJRJUMVGKMITZHFPDISPZLVLGWTFPLKKEBDPGCEBSHCTJRWXBAFSPEZQNRWXC | |
VYCGAONWDDKACKAWBBIKFTIOVKCGGHJVLNHIFFSQESVYCLACNVRWBBIREPBBVFEXOSCDYGZWPFDTKF | |
QIYCWHJVLNHIQIBTKHJVNPIST | |
''' | |
CIPHER = ''.join(CIPHER.split()) | |
frequency = { | |
'A': 0.08167, | |
'B': 0.01492, | |
'C': 0.02782, | |
'D': 0.04253, | |
'E': 0.12702, | |
'F': 0.02228, | |
'G': 0.02015, | |
'H': 0.06094, | |
'I': 0.06966, | |
'J': 0.00153, | |
'K': 0.00772, | |
'L': 0.04025, | |
'M': 0.02406, | |
'N': 0.06749, | |
'O': 0.07507, | |
'P': 0.01929, | |
'Q': 0.00095, | |
'R': 0.05987, | |
'S': 0.06327, | |
'T': 0.09056, | |
'U': 0.02758, | |
'V': 0.00978, | |
'W': 0.02360, | |
'X': 0.00150, | |
'Y': 0.01974, | |
'Z': 0.00074 | |
} | |
RECTA = [[chr((i + j) % 26 + 65) for i in range(0, 26)] for j in range(0, 26)] | |
def calPi(cipher): | |
d = {} | |
for i in range(0, 26): | |
d[chr(i+65)] = 0 | |
for c in cipher: | |
d[c] += 1 | |
l = len(cipher) | |
s = sum([d[c]*(d[c] - 1) for c in d]) | |
return s/(l*(l-1)) | |
def guess_key(cipher, ic_storage, key_limit): | |
for t in range(1, key_limit): | |
cipher_list = [] | |
for i in range(0, t): | |
cipher_list.append(cipher[i::t]) | |
pi_values = [calPi(s) for s in cipher_list] | |
average = sum(pi_values)/len(pi_values) | |
print(t, "Average:", average, "Diff:", abs(average - 0.065)) | |
ic_storage.append([t, abs(average - 0.065)]) | |
ic_storage = sorted(ic_storage, key=lambda x: x[1]) | |
return ic_storage | |
def decrypt(cipher, key): | |
plain = '' | |
for i in range(0, len(cipher)): | |
column = RECTA[ord(key[i % len(key)]) - 65] | |
row_id = column.index(cipher[i]) | |
plain += chr(row_id + 65) | |
return plain | |
if __name__ == '__main__': | |
ic_storage = [] | |
ic_storage = guess_key(CIPHER, ic_storage, 10) | |
key = '' | |
for ic in ic_storage: | |
t = ic[0] | |
cipher_list = [] | |
key = '' | |
for i in range(0, t): | |
cipher_list.append(CIPHER[i::t]) | |
print("Possible key: ", end='') | |
for s in cipher_list: | |
d = {} | |
for i in range(0, 26): | |
d[chr(i+65)] = 0 | |
for c in s: | |
d[c] += 1 | |
probability = [] | |
l = len(s) | |
for k in range(0, 26): | |
p = sum([d[chr((i+k) % 26+65)]/l*(frequency[chr(i+65)]) | |
for i in range(0, 26)]) | |
probability.append([p, k]) | |
probability = sorted(probability, key=lambda x: x[0], reverse=True) | |
key += chr(probability[0][1]+65) | |
print(chr(probability[0][1]+65), end='') | |
print() | |
plain_text = decrypt(CIPHER, key) | |
print("Possible plain text:") | |
print(plain_text) | |
flag = input("Do you want to continue? (y/[n]): ") | |
if flag != 'n': | |
break | |
print("Key:", key) |
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