def keygen(p, q):
n = p * q
phi = (p - 1) * (q - 1)
e = random.randrange(1, phi)
g = cryptomath.gcd(e, phi)
while g != 1:
e = random.randrange(1, phi)
g = cryptomath.gcd(e, phi)
d = cryptomath.multiplicative_inverse(e, phi)
return ((e, n), (d, n))
def affine_decode(text: str, alpha: int, beta: int) -> str:
"""
Decodes a text encrypted with an affine cypher with the known alpha and
beta parameters. Affine cyphers are of the form ax + b (mod26) = E, where
'a' (alpha) is a number gcd(a,26) = 1; 'b' (beta) is any positive or
negative integer; and E is the position of the new letter in the alphabet.
Args:
text (str): The encrypted message to decrypt.
alpha (int): The multiplied factor of the affine encryption algorithm
(a, where ax + b (mod26) = E).
beta (int): The shifted amount of the affine encryption algorithm (b,
where ax + b (mod26) = E).
Raises:
AffineAlphaException or EmptyTextException
Returns:
str: The decrypted message.
"""
if cryptomath.gcd(alpha, 26) != 1:
raise AffineAlphaException
decodeArray = list(__prep_text(text))
if len(decodeArray) == 0:
raise EmptyTextException
plainText = ""
for symbol in decodeArray:
x = (_ALPHABET.index(symbol) - beta) * cryptomath.find_mod_inverse(
alpha, 26)
plainText = plainText + _ALPHABET[x % 26]
return plainText
def generateKey(keySize):
# Create public/private keys keySize bits in size
p = 0
q = 0
# Create two primes, p and q. Calculate n = p * q
print("Generating p prime...")
while p == q:
p = primeNum.generateLargePrime(keySize)
q = primeNum.generateLargePrime(keySize)
n = p * q
# Create number e that is relatively prime to (p-1)*(q-1)
print("Generating e that is relatively prime to (p-1) * (q-1)...")
while True:
# Keep trying rand numbers for e until one is valid
e = random.randrange(2**(keySize - 1), 2**keySize)
if cryptomath.gcd(e, (p - 1) * (q - 1)) == 1:
break
# Calculate d, mod inverse of e
print("Calculating d that is the mod inverse of e...")
d = cryptomath.findModInverse(e, (p - 1) * (q - 1))
publicKey = (n, e)
privateKey = (n, d)
print(f"Public key: {publicKey}")
print(f"Private key: {privateKey}")
return publicKey, privateKey
def generateKey(keySize):
# Step 1: Create two prime numbers, p and q. Calculate n = p * q.
print('Generating p prime...')
p = rabinMiller.generateLargePrime(keySize)
print('Generating q prime...')
q = rabinMiller.generateLargePrime(keySize)
n = p * q
# Step 2: Create a number e that is relatively prime to (p-1)*(q-1).
print('Generating e that is relatively prime to (p-1)*(q-1)...')
while True:
e = random.randrange(2 ** (keySize - 1), 2 ** (keySize))
if cryptomath.gcd(e, (p - 1) * (q - 1)) == 1:
break
# Step 3: Calculate d, the mod inverse of e.
print('Calculating d that is mod inverse of e...')
d = cryptomath.findModInverse(e, (p - 1) * (q - 1))
publicKey = (n, e)
privateKey = (n, d)
print('Public key:', publicKey)
print('Private key:', privateKey)
return (publicKey, privateKey)
def generateKey(keySize):
# Creates a public/private key pair with keys that are keySize bits in size.
#This function may take a while to run
# Step 1: Create two prime numbers, p and q. Calculate n = p * q.
print("Generating p prime...")
p = primeNum.generateLargePrime(keySize)
print("Generating q prime...")
q = primeNum.generateLargePrime(keySize)
n = p * q
# Step 2: Create a number e that is relatively prime to (p-1)*(q-1).
print("Generating e that is relitively prime to (p-1)*(q-1)...")
while True:
# keep trying random numbers for e until a valid one is found
e = random.randrange(2**(keySize - 1), 2**(keySize))
if cryptomath.gcd(e, (p - 1) * (q - 1)) == 1:
break
# step 3: calculate d, the mod inverse of e
print("calculating d, the mod inverse of e")
d = cryptomath.findModInverse(e, (p - 1) * (q - 1))
publicKey = (n, e)
privateKey = (n, d)
print("Public Key")
print("Private Key")
return (publicKey, privateKey)
def hackAffine(message):
print('Hacking...')
print('Press Ctrl-C or Ctrl-D to quit at any time.')
# brute-fore by looping through every possible key
for key in range(len(affineCipher.SYMBOLS) ** 2):
keyA = affineCipher.getKeyParts(key)[0]
if cryptomath.gcd(keyA, len(affineCipher.SYMBOLS)) != 1:
continue
decryptedText = affineCipher.decryptMessage(key, message)
if not SILENT_MODE:
print('Tried key %s... (%s)' % (key, decryptedText[:40]))
if detectEnglish.isEnglish(decryptedText):
# Check with the user if the decrypt key was correct.
print()
print('Possible encryption hack:')
print('Key: %s' % (key))
print('Decrypted message: ' + decryptedText[:200])
print()
print('Enter D for done, or Enter to continue:')
response = input('> ')
if response.strip().upper().startswith('D'):
return decryptedText
return None
def random_key():
while (True):
key_a = random.randint(2, len(SYMBOLS))
key_b = random.randint(2, len(SYMBOLS))
if cryptomath.gcd(key_a, len(SYMBOLS)) == 1:
return key_a * len(SYMBOLS) + key_b\
def generateKey(keySize): print 'generating p prime...' p = rabinMiller.generateLargePrime(keySize) print 'generating q prime...' q = rabinMiller.generateLargePrime(keySize) n = p * q print 'generating e that is relatively to (p-1)*(q-1)' while True: e = random.randrange(2 ** (keySize-1),2 ** keySize) if cryptomath.gcd(e,(p-1) * (q-1) == 1): print 'calcuting d that is mod inverse of e...' d = cryptomath.findModInverse(e,(p-1) * (q-1)) if d != None: break publicKey = (n,e) privateKey = (n,d) print 'public key' print publicKey print 'private key' print privateKey return (publicKey,privateKey)
def hackAffine(message):
print('Hacking...')
print('(Press Ctrl-C or Ctrl-D to quit at any time.)')
for key in range(len(affineCipher.SYMBOLS) ** 2):
keyA = affineCipher.getKeyParts(key)[0]
if cryptomath.gcd(keyA, len(affineCipher.SYMBOLS)) != 1:
continue
decryptedText = affineCipher.decryptMessage(key, message)
if not SILENT_MODE:
print('Tried Key %s... (%s)' % (key, decryptedText[:40]))
if detectEnglish.isEnglish(decryptedText):
print()
print('Possible encryption hack:')
print('Key: %s' % (key))
print('Decrypted message: ' + decryptedText[:200])
print()
print('Enter D for done, or just press Enter to continue hacking:')
response = input('> ')
if response.strip().upper().startswith('D'):
return decryptedText
return None
def affine_encode(text: str, alpha: int, beta: int) -> str:
"""
Encodes a provided text using an affine cipher of the form ax + b (mod 26)
= E; where a is parameter alpha and b is parameter beta.
Args:
text (str): The text to encrypt.
alpha (int): The multiplied factor of the affine encryption algorithm
(a, where ax + b (mod26) = E).
beta (int): The shifted amount of the affine encryption algorithm (b,
where ax + b (mod26) = E).
Raises:
AffineAlphaException
EmptyTextException
Returns:
str: The encrypted message.
"""
if cryptomath.gcd(alpha, 26) != 1:
raise AffineAlphaException
encodeArray = list(__prep_text(text))
if len(encodeArray) == 0:
raise EmptyTextException
cipherText = ""
for symbol in encodeArray:
encodeIndex = (alpha * _ALPHABET.index(symbol) + beta) % 26
cipherText = cipherText + _ALPHABET[encodeIndex]
return cipherText
def generateKey(keySize):
p = 0
q = 0
# Step1: create two prime numbers, p and q. calculate n = p * q:
print('Generating p prime...')
while p == q:
p = primeNum.generateLargePrime(keySize)
q = primeNum.generateLargePrime(keySize)
n = p * q
# Step2: Create a number e that is relatively prime to (p-1)*(q-1):
print('Generating e that is relatively prime to (p-1)*(q-1)...')
x = (p - 1) * (q - 1)
while True:
e = random.randrange(2**(keySize - 1), 2**(keySize))
if cryptomath.gcd(e, x) == 1:
break
# Step3: Calculate d, the mod inverse of e:
print('Calculating d that is mod inverse of e...')
d = cryptomath.findModInverse(e, x)
publicKey = (n, e)
privateKey = (n, d)
print('Public Key:\n', publicKey)
print('Private Key:\n', privateKey)
return (publicKey, privateKey)
def hackAffine(message):
print('Hacking...')
# Python programs can be stopped at any time by pressing Ctrl-C (on
# Windows) or Ctrl-D (on Mac and Linux)
print('(Press Ctrl-C or Ctrl-D to quit at any time.)')
# brute force by looping through every possible key
for key in range(len(affineCipher.SYMBOLS) ** 2):
keyA = affineCipher.getKeyParts(key)[0]
if cryptomath.gcd(keyA, len(affineCipher.SYMBOLS)) != 1:
continue
decryptedText = affineCipher.decryptMessage(key, message)
if not SILENT_MODE:
print('Tried Key %s... (%s)' % (key, decryptedText[:40]))
if detectEnglish.isEnglish(decryptedText):
# Check with the user if the decrypted key has been found.
print()
print('Possible encryption hack:')
print('Key: %s' % (key))
print('Decrypted message: ' + decryptedText[:200])
print()
print('Enter D for done, or just press Enter to continue hacking:')
response = input('> ')
if response.strip().upper().startswith('D'):
return decryptedText
return None
def hackAffine(message):
global SILENT_MODE
# ketikkan code dari slide 8 - 11 atau menggunakan versi Anda.
print("Hacking...")
print("Ctrl-C or Ctrl-D to quit at any time")
for key in range(len(affineCipher.SYMBOLS)**2):
keyA=affineCipher.getKeyParts(key)[0]
if cryptomath.gcd(keyA, len(affineCipher.SYMBOLS))!=1:
continue
decryptedtext=affineCipher.decryptMessage(key,message)
if not SILENT_MODE:
print(f"Tried key {key}... ({decryptedtext[:40]})")
if detectEnglish.isEnglish(decryptedtext):
print("Possible encryption hack: ")
print(f"Key: {key}")
print(f"Decrypted message: {decryptedtext[:200]}")
print("Enter D for done, or just press Enter to continue hacking: ")
response=input("> ")
if response.upper()=="D":
return decryptedtext
return None
def inv_matrix_mod(m, n):
"""
Calculates inverse m (mod n). Uses the numpy library to calculate the
determinant and adj. matrix.
Textbook example
>>> m = [[1, 2],
... [3, 4]]
>>> inv_matrix_mod(m, 11)
[[9, 1], [7, 5]]
Textbook example 3x3
>>> m = [[1, 1, 1],
... [1, 2, 3],
... [1, 4, 9]]
>>> inv_matrix_mod(m, 11)
[[3, 3, 6], [8, 4, 10], [1, 4, 6]]
Random example
>>> m = [[4, 7],
... [2, 6]]
>>> inv_matrix_mod(m, 11)
[[5, 7], [2, 7]]
Invalid example
>>> m = [[4, 7],
... [2, 6]]
>>> inv_matrix_mod(m, 15)
[]
:param m: Matrix
:param n: modulus
:return: [] if det(m), n are not relatively prime
m (mod n), otherwise
"""
import numpy as np
import cryptomath
size = len(m)
# Matrix determinant
det = int(np.around(np.linalg.det(m)))
# if gcd(determinant, n) is not 1, return empty matrix
if not cryptomath.gcd(det, n) == 1:
return []
# calculate adj(matrix) and mod inverse of determinant
m_inv = det * np.linalg.inv(m)
# print m_inv
inv = cryptomath.findModInverse(det, n)
# multiply matrix inverse with mod inverse and take (mod n) to get positive
# values. Return inv m (mod n)
for i in range(size):
for j in range(size):
m_inv[i][j] = int(np.around(m_inv[i][j] * inv % n))
m_inv = m_inv.astype(int).tolist()
return m_inv
def generateKey(keySize):
# Step 1: Create two prime numbers, p and q. Calculate n = p * q.
print('Generating p prime...')
p = Rabin_Miller.generateLargePrime(keySize)
print('Generating q prime...')
q = Rabin_Miller.generateLargePrime(keySize)
n = p * q
# Step 2: Create a number e that is relatively prime to (p-1)*(q-1).
print('Generating e that is relatively prime to (p-1)*(q-1)...')
while True:
e = random.randrange(2 ** (keySize - 1), 2 ** (keySize))
if cryptomath.gcd(e, (p - 1) * (q - 1)) == 1:
break
"""
The specified pair of numbers, n and e, form the RSA public key. e is a number that is greater than 1 but less than
(p - 1) and (q - 1) and e is coprime to (p - 1) and (q - 1).
"""
# Step 3: Calculate d, the mod inverse of e.
print('Calculating d that is mod inverse of e...')
d = cryptomath.findModInverse(e, (p - 1) * (q - 1))
publicKey = (n, e)
privateKey = (n, d)
print('Public key:', publicKey)
print('Private key:', privateKey)
return (publicKey, privateKey)
def generateRSAkey(keySize=1024):
'''
Known e, calculating p and q, output publicKey and privateKey in special format
if want the e is unknown:
p = generateLargePrime(keySize)
q = generateLargePrime(keySize)
n = p*q
while True:
e = random.randrange(2 ** (keySize - 1), 2 ** (keySize))
if cryptomath.gcd(e, (p - 1) * (q - 1)) == 1:
d = cryptomath.findModInverse(e, (p - 1) * (q - 1))
break'''
e = 65537
while True:
p = generateLargePrime(keySize)
q = generateLargePrime(keySize)
if cryptomath.gcd(e, (p - 1) * (q - 1)) == 1:
d = cryptomath.findModInverse(e, (p - 1) * (q - 1))
break
n = p * q
publicKey = str64encode(n) + b' ' + str64encode(e)
privateKey = str64encode(n) + b' ' + str64encode(d)
return publicKey, privateKey
def generateKey(keySize):
# Creates public/private keys keySize bits in size.
p = 0
q = 0
# Step 1: Create two prime numbers, p and q. Calculate n = p * q:
print('Generating p prime...')
while p == q:
p = primeNum.generateLargePrime(keySize)
q = primeNum.generateLargePrime(keySize)
n = p * q
# Step 2: Create a number e that is relatively prime to (p-1)*(q-1):
print('Generating e that is relatively prime to (p-1)*(q-1)...')
while True:
# Keep trying random numbers for e until one is valid:
e = random.randrange(2**(keySize - 1), 2**(keySize))
if cryptomath.gcd(e, (p - 1) * (q - 1)) == 1:
break
# Step 3: Calculate d, the mod inverse of e:
print('Calculating d that is mod inverse of e...')
d = cryptomath.findModInverse(e, (p - 1) * (q - 1))
publicKey = (n, e)
privateKey = (n, d)
print('Public key:', publicKey)
print('Private key:', privateKey)
return (publicKey, privateKey)
def keypair(size=1024):
# Step 1: generate 2 large primes p and q, calculate n = p * q
p, q = cryptomath.largeprime(size), cryptomath.largeprime(size)
n = p * q
if DEBUG_LEVEL > 0:
print('p = %s' % p)
print('q = %s' % q)
print('n = %s' % n)
# Step 2: generate a random e which is relatively prime with
# (p - 1) * (q - 1)
t = (p - 1) * (q - 1)
while True:
e = random.randrange(2 ** (size - 1), 2 ** size)
if cryptomath.gcd(e, t) == 1:
break
if DEBUG_LEVEL > 0:
print('t = %s' % t)
print('e = %s' % e)
# Step 3: calculate d which is the mod inverse of e
d = cryptomath.findModInverse(e, t)
if DEBUG_LEVEL > 0:
print('d = %s' % d)
pub = (n, e)
pri = (n, d)
if DEBUG_LEVEL > 0:
print('Pub: ', pub)
print('Pri: ', pri)
# Return the key pair
return (pub, pri)
def hackAffine(message):
print('Hacking...')
# To stop:
# Ctrl-C
print('(Ctrl-C to quit)')
# brute-force by looping through every possible key
for key in range(len(affineCipher.SYMBOLS) ** 2):
keyA = affineCipher.getKeyParts(key)[0]
if cryptomath.gcd(keyA, len(affineCipher.SYMBOLS)) != 1:
continue
decryptedText = affineCipher.decryptMessage(key, message)
if not SILENT_MODE:
print('Tried Key %s... (%s)' % (key, decryptedText[:40]))
if detectEnglish.isEnglish(decryptedText):
# Check w/user to see if key found
print()
print('Possible encryption hack:')
print('Key: %s' % (key))
print('Decrypted message: ' + decryptedText[:200])
print()
print('Enter D for done, or just press enter to continue')
response = input('> ')
if response.strip().upper().startswith('D'):
return decryptedText
return None
def random_key():
while True:
keyA = random.randint(2, len(SYMBOLS))
keyB = random.randint(2, len(SYMBOLS))
if cryptomath.gcd(keyA, len(SYMBOLS)) == 1:
return keyA * len(SYMBOLS) + keyB
def get_random_key():
while True:
key_A = random.randint(2, len(SYMBOLS))
key_B = random.randint(2, len(SYMBOLS))
if cryptomath.gcd(key_A, len(SYMBOLS)) == 1:
return (key_A * len(SYMBOLS)) + key_B
def hackAffine(message):
print('Hacking...')
# Python programs can be stopped at any time by pressing Ctrl-C (on
# Windows) or Ctrl-D (on Mac and Linux)
print('(Press Ctrl-C or Ctrl-D to quit at any time.)')
# brute-force by looping through every possible key
for key in range(len(affineCipher.SYMBOLS) ** 2):
keyA = affineCipher.getKeyParts(key)[0]
if cryptomath.gcd(keyA, len(affineCipher.SYMBOLS)) != 1:
continue
decryptedText = affineCipher.decryptMessage(key, message)
if not SILENT_MODE:
print('Tried Key %s... (%s)' % (key, decryptedText[:40]))
if detectEnglish.isEnglish(decryptedText):
# Check with the user if the decrypted key has been found.
print()
print('Possible encryption hack:')
print('Key: %s' % (key))
print('Decrypted message: ' + decryptedText[:200])
print()
print('Enter D for done, or just press Enter to continue hacking:')
response = input('> ')
if response.strip().upper().startswith('D'):
return decryptedText
return None
def hackAffine(message):
print "\nAttempting to decode message...\n"
# Brute-force by looping through every possible key
for key in range(len(affineCipher.SYMBOLS)**2):
keyA = affineCipher.getKeyParts(key)[0]
if cryptomath.gcd(keyA, len(affineCipher.SYMBOLS)) != 1:
continue
decryptedText = affineCipher.decryptMessage(key, message)
if not SILENT_MODE:
print 'Tried Key %s... (%s)' % (key, decryptedText[:40])
startTime = time.time()
isEnglish = detectEnglish.isEnglish(decryptedText)
totalTime = round(time.time() - startTime, 2)
print 'English detection time: %s seconds' % totalTime
if isEnglish:
print "\nPossible decrypted message:"
print " Key %s: %s" % (key, decryptedText[:100])
response = raw_input(
"\nEnter D if done, or any other key to continue the attack: ")
if response.strip().upper().startswith('D'):
return decryptedText
return None
def hackAffine(message):
print('Hacking...')
print('(Press Ctrl-C or Ctrl-D to quit at any time.)')
#brute-force by looping through each key
for key in range(len(affineCipher.SYMBOLS)**2):
keyA = affineCipher.getKeyParts(key)[0]
if cryptomath.gcd(keyA, len(affineCipher.SYMBOLS)):
continue
decryptedText = affineCipher.decryptMessage(key, message)
if not SILENT_MODE:
print('Tried Key %s... (%s)' % (key, decryptedText[:40]))
if detectEnglish.isEnglish(decryptedText):
#Check with the user f the decrypted key has been found
print()
print('Possible encryption hack:')
print('Key: %s' % (key))
print('Decrypted message: ' + decryptedText[:200])
print()
print('Enter D for done,or just press Enter to Continue Hacking')
response = input('>')
if response.strip().upper().startswith('D'):
return decryptedText
return None
#if affineHacker.py is run as module
if __name__ == '__main__':
main()
def hackAffine(message):
print("Hacking .....")
for key in range(
0, E_15_Affine_Cipher.ascii_length**2
): # ** represents to the power of, its to the power of 2, as same as multiplying by two, as A and B have the same range
keyA = E_15_Affine_Cipher.getKeySections(
key
)[0] # 0, only takes the first element, as we just need to check A is valid to speed up the programme
# print (E_15_Affine_Cipher.getKeySections(key))
if ((cryptomath.gcd(keyA, E_15_Affine_Cipher.ascii_length)) != 1):
continue # if the key is not coprime then continue back at the for loop, i.e. break from currnet iteration but continue onto the next
# print( E_15_Affine_Cipher.decrypt(message, key, False)) #False sent to determine decryption mode
plaintext = E_15_Affine_Cipher.decrypt(
message, key, False) #False sent to determine decryption mode
if (E_12_English_detect.isEnglish(plaintext)):
print("tried key %s giving plain text : %s " % (key, plaintext))
happy = raw_input(
'English detected, enter D for done or N to continue hacking')
if (happy.strip().upper().startswith('D')):
return plaintext
return None
def hackAffine(message):
print('Hacking...')
print('(Press Ctrl-C or Ctrl-D to stop at any time)')
for key in range(len(affine_cipher.SYMBOLS) ** 2):
keyA = affine_cipher.getKeyParts(key)[0]
if cryptomath.gcd(keyA, len(affine_cipher.SYMBOLS)) != 1:
continue
text = affine_cipher.decryptMessage(key, message)
if SILENT_MODE is False:
print()
print('+: key:\t%s' % (key))
print('+: msg:\t%s' % (text[200:]))
print()
if detectEnglish.isEnglish(text) is True:
print()
print('+: key:\t%s' % (key))
print('+: msg:\t%s' % (text[200:]))
print()
print('Enter D for done, or just press Enter to continue')
prompt = input('> ')
if prompt.upper().startswith('D') is True:
return text
return None
def getRandomKey():
keyA = random.randint(2, len(SYMBOLS))
keyB = random.randint(2, len(SYMBOLS))
if cryptomath.gcd(keyA, len(SYMBOLS)) == 1:
return keyA * len(SYMBOLS) + keyB
return getRandomKey()
def hackAffine(message):
print('Hacking...')
print('(Press Ctrl-C or Ctrl-D to quit at any time.)')
for key in range(len(SYMBOLS)**2):
keyA = getKeyParts(key)[0]
if cryptomath.gcd(keyA, len(SYMBOLS)) != 1:
continue
decryptedText = decryptMessage(key, message)
if not SILENT_MODE:
print('Tried Key %s... (%s)' % (key, decryptedText[:40]))
if detectEnglish.isEnglish(decryptedText):
print()
print('Possible encryption hack:')
print('Key: %s' % (key))
print('Decrypted message: ' + decryptedText[:200])
print()
print('Enter D if done, anything else to continue hacking:')
response = input('> ')
if response.strip().upper().startswith('D'):
return decryptedText
return None
def prueba(msg):
l = list()
for keyA in range(2, 80):
key = keyA * len(affineCipher.SYMBOLS) + 1
if cryptomath.gcd(keyA, len(affineCipher.SYMBOLS)) == 1:
l.append((key, affineCipher.encryptMessage(key, msg)))
return random.choice(l)
def getRandomKey(self):
while True:
self.keyA = random.randint(2, self.SYMBOLS)
self.keyB = random.randint(2, self.SYMBOLS)
if cryptomath.gcd(self.keyA, self.SYMBOLS) == 1:
self.key = self.keyA * self.SYMBOLS + self.keyB
return self.keyA * self.SYMBOLS + self.keyB
def getRandomKey():
while True:
keyA = random.randint(2, len(SYMBOLS))
keyB = random.randint(2, len(SYMBOLS))
# check co-prime
if cryptomath.gcd(keyA, len(SYMBOLS)) == 1:
return keyA * len(SYMBOLS) + keyB
def hack_affine(message):
for key in range(len(affine_cipher.SYMBOLS) ** 2):
key_a = affine_cipher.get_key_parts(key)[0]
if cryptomath.gcd(key_a, len(affine_cipher.SYMBOLS)) != 1:
continue
text_decrypted = affine_cipher.decrypt_message(key, message)
OUTPUT_FILE_OBJ.write("Tried Key %s... (%s)\n" % (key, text_decrypted[:40]))
if not SILENT_MODE:
print("Tried Key %s: %s..." % (key, text_decrypted[:100]))
if detect_english.is_english(text_decrypted):
global TIME_CHECKPOINT = time.time() - TIME_CHECKPOINT
global TIME_ELAPSED += TIME_CHECKPOINT
print("\nPossible encryption hack:")
print("Key: %s" % (key))
print("Decrypted message: " + text_decrypted[:200])
print("\nEnter D for done, or just press Enter to continue hacking:")
response = input("> ")
if response.strip().upper().startswith("D"):
OUTPUT_FILE_OBJ.write("\n\nKey used: %s\nDecrypted message: %s" % (key, text_decrypted))
OUTPUT_FILE_OBJ.write("\nTotal time elapsed: %s" % (format(TIME_ELAPSED, ".5f")))
OUTPUT_FILE_OBJ.close()
return text_decrypted
TIME_ELAPSED = time.time() - TIME_START
OUTPUT_FILE_OBJ.write("\nDecryption failed.")
OUTPUT_FILE_OBJ.write("\nTotal time elapsed: %s" % (format(TIME_ELAPSED, ".5f")))
OUTPUT_FILE_OBJ.close()
return None
def break_affine():
keys = []
for i in rus_and_encrypted:
Y1 = bigrams_map[i[2]]
Y2 = bigrams_map[i[3]]
X1 = bigrams_map[i[0]]
X2 = bigrams_map[i[1]]
X1_X2 = X1 - X2
Y1_Y2 = Y1 - Y2
if X1_X2 < 0:
X1_X2 += alph_len**2
if Y1_Y2 < 0:
Y1_Y2 += alph_len**2
a_keys = cryptomath.linear_equation(X1_X2, Y1_Y2, alph_len**2)
if not isinstance(a_keys, list):
a_keys = [a_keys]
if None not in a_keys:
for a in a_keys:
if cryptomath.gcd(a, alph_len**2) != 1:
continue
b = (Y1 - a * X1) % alph_len**2
if b < 0:
b += alph_len**2
if (a, b) in keys:
continue
keys.append((a, b))
for key in keys:
candidate = affine.cipher(text, key[0], key[1], 'decrypt')
if icx(candidate) >= 0.050:
print(key)
print(candidate)
def generateKey(keySize):
# Creates a public/private key pair with keys that are keySize bits in
# size. This function may take a while to run.
# Step 1: Create two prime numbers, p and q. Calculate n = p * q.
print('Generating p prime...')
p = rabinMiller.generateLargePrime(keySize)
print('Generating q prime...')
q = rabinMiller.generateLargePrime(keySize)
n = p * q
# Step 2: Create a number e that is relatively prime to (p-1)*(q-1).
print('Generating e that is relatively prime to (p-1)*(q-1)...')
while True:
# Keep trying random numbers for e until one is valid.
e = random.randrange(2 ** (keySize - 1), 2 ** (keySize))
if cryptomath.gcd(e, (p - 1) * (q - 1)) == 1:
break
# Step 3: Calculate d, the mod inverse of e.
print('Calculating d that is mod inverse of e...')
d = cryptomath.findModInverse(e, (p - 1) * (q - 1))
publicKey = (n, e)
privateKey = (n, d)
print('Public key:', publicKey)
print('Private key:', privateKey)
return (publicKey, privateKey)
def hack(message):
print('hacking...')
# range of possible keys for affine cypher is len(set size) ^ 2
for key in range(len(affineCypher.SYMBOLS) ** 2):
keyA = affineCypher.getKeyParts(key)[0]
# keyA must satisfy gcd(keyA, len(set size)) == 1
if cryptomath.gcd(keyA, len(affineCypher.SYMBOLS)) != 1:
continue # skip current key if gcd isnt 1
decryptedText = affineCypher.decrypt(key, message)
if not SILENT_MODE:
print('tried key: %s' % key)
print('text: %s...' % decryptedText)
if DetectEnglish.isEnglish(decryptedText):
print('Found possible hack')
print('Key: %s' % key)
print('Message: %s' % decryptedText)
print()
print('Enter D for done, or just press Enter to continue hacking:')
response = input('> ')
if response.strip().upper().startswith('D'):
return decryptedText
return None
def getRandomKey(self): while True: self.keyA = random.randint(2, self.SYMBOLS) self.keyB = random.randint(2, self.SYMBOLS) if cryptomath.gcd(self.keyA, self.SYMBOLS) == 1: self.key=self.keyA * self.SYMBOLS + self.keyB return self.keyA * self.SYMBOLS + self.keyB
def generateKey(keysize):
p = 0
q = 0
print('Generating p prime...')
while p == q:
p = primeNum.generateLargePrime(keysize)
q = primeNum.generateLargePrime(keysize)
n = p * q
print('Generating e that is relatively prime to (p-1)*(q-1)...')
while True:
e = random.randrange(2**(keysize - 1), 2**(keysize))
if cryptomath.gcd(e, (p - 1) * (q - 1)) == 1:
break
print('Calculating d that is mod inverse of e...')
d = cryptomath.findModInverse(e, (p - 1) * (q - 1))
publicKey = (n, e)
privateKey = (n, d)
print('Public key:', publicKey)
print('Private key:', privateKey)
return (publicKey, privateKey)
def generateKey(keySize):
#create pasangan public key dan private key
#Step 1,generate bilangan prima , n = p * q
print('Create bilangan prima p...')
p = rabinMiller.generateLargePrime(keySize)
print('Create bilangan prima q...')
q = rabinMiller.generateLargePrime(keySize)
n = p * q
#Step 2,generate bilangan e (relatif prima) dengan (p-1)*(q-1)
print('Create e(relatif prima) ...')
while True:
#looping terus hingga di dapat bilangan e yang valid
e = random.randrange(2 **(keySize-1), 2 ** (keySize))
if cryptomath.gcd(e , (p-1)*(q-1)) == 1:
break
#Step 3,hitung d,mod inverse dari e
print('Generate d,mod inverse e...')
d = cryptomath.findModInverse(e, (p-1)&(q-1))
publicKey = (n,e)
privateKey = (n,d)
print('Public key : ',publicKey)
print('Private key : ',privateKey)
return (publicKey,privateKey)
def generateKey(keySize):
# Creates a public/private key pair with keys that are keySize bits in
# size. This function may take a while to run.
# Step 1: Create two prime numbers, p and q. Calculate n = p * q.
print('Generating p prime...')
p = rabinMiller.generateLargePrime(keySize)
print('Generating q prime...')
q = rabinMiller.generateLargePrime(keySize)
n = p * q
# Step 2: Create a number e that is relatively prime to (p-1)*(q-1).
print('Generating e that is relatively prime to (p-1)*(q-1)...')
while True:
# Keep trying random numbers for e until one is valid.
e = random.randrange(2 ** (keySize - 1), 2 ** (keySize))
if cryptomath.gcd(e, (p - 1) * (q - 1)) == 1:
break
# Step 3: Calculate d, the mod inverse of e.
print('Calculating d that is mod inverse of e...')
d = cryptomath.findModInverse(e, (p - 1) * (q - 1))
publicKey = (n, e)
privateKey = (n, d)
print('Public key:', publicKey)
print('Private key:', privateKey)
return (publicKey, privateKey)
def checkKeys(keyA, keyB, mode):
if keyA == 1 and mode == 'encrypt':
sys.exit('The affine cipher becomes incredibly weak when keyA is 1. Choose a different key.')
if keyB == 0 and mode == 'encrypt':
sys.exit('The affine cipher becomes incredibly weak when keyB is 0. Choose a different key.')
if keyA < 0 or keyB < 0 or keyB > len(SYMBOLS) - 1:
sys.exit('KeyA must be > 0 and 0 < keyB < %s.' % (len(SYMBOLS) - 1))
if cryptomath.gcd(keyA, len(SYMBOLS)) != 1:
sys.exit('KeyA (%s) and the symbol set size (%s) must be relatively prime. Choose a different key.' % (keyA, len(SYMBOLS)))
def checkKeys(keyA,keyB,mode):
if keyA == 1 and mode == 'encrypt':
sys.exit('The affine cipher becomes incredibly weak when key A is set to 1. Choose a different key.')
if keyB == 0 and mode == 'encrypt':
sys.exit('The affine cipher becomes incredibly weak when key B is set to 0. Choose a different key.')
if keyA < 0 or keyB < 0 or keyB > len(SYMBOLS) - 1:
sys.exit('Key A must be greater than 0 and Key B must be between 0 and %s.' % len(SYMBOLS)-1)
if cryptomath.gcd(keyA,len(SYMBOLS)) != 1:
sys.exit('Key A (%s) and the symbol set size (%s) are not relatively prime. Choose a different key.' % (keyA, len(SYMBOLS)))
def testAffine(self):
self = self.strip()
for key in range(len(affineCipher.SYMBOLS) ** 2):
keyA = affineCipher.getKeyParts(key)[0]
if cryptomath.gcd(keyA, len(affineCipher.SYMBOLS)) != 1:
continue
decryptedText = affineCipher.decryptMessage(key, self)
print('Tried Key %s : (%s)' % (key, decryptedText[:40]))
checkMatch(decryptedText, key, 'Affine')
def checkKeys(self, keyA, keyB, mode): self.okay = True if self.keyA == 1 and self.mode == 'e': self.okay = False return 'The affine cipher becomes incredibly weak when key A is set to 1. Choose a different key.' if self.keyB == 0 and self.mode == 'e': self.okay = False return 'The affine cipher becomes incredibly weak when key B is set to 0. Choose a different key.' if self.keyA < 0 or self.keyB < 0 or self.keyB > (self.SYMBOLS - 1): self.okay = False return 'Key A must be greater than 0 and Key B must be between 0 and %s.' % (self.SYMBOLS - 1) if cryptomath.gcd(self.keyA, self.SYMBOLS) != 1: self.okay = False return 'Key A (%s) and the symbol set size (%s) are not relatively prime. Choose a different key.' % (self.keyA, self.SYMBOLS)
def decryptMessage(keyA, keyB, message):
if cryptomath.gcd(keyA, len(LETTERS)) != 1:
sys.exit('The key (%s) and the size of the alphabet (%s) are not relatively prime. Choose a different key.' % (keyA, len(LETTERS)))
plaintext = ''
modInverseOfKeyA = cryptomath.findModInverse(keyA, len(LETTERS))
for symbol in message:
if symbol in LETTERS:
# decrypt this symbol
symIndex = LETTERS.find(symbol)
plaintext += LETTERS[(symIndex - keyB) * modInverseOfKeyA % len(LETTERS)]
else:
# just append this symbol unencrypted
plaintext += symbol
return plaintext
def hackAffine(message):
# Python programs can be stopped at any time by pressing Ctrl-C (on
# Windows) or Ctrl-D (on Mac and Linux)
# brute-force by looping through every possible key
for key in range(len(affineCipher.SYMBOLS) ** 2):
keyA = affineCipher.getKeyParts(key)[0]
if cryptomath.gcd(keyA, len(affineCipher.SYMBOLS)) != 1:
continue
decryptedText = affineCipher.decryptMessage(key, message)
if detectEnglish.isEnglish(decryptedText):
# Check with the user if the decrypted key has been found.
print('\nKey: %s' % (key))
response = 'D'
if response.strip().upper().startswith('D'):
return decryptedText
return None
def encryptMessage(keyA, keyB, message):
# key strength and validity checks
if keyA == 1:
sys.exit('The affine cipher becomes incredibly weak when keyA is set to 1. Choose a different key.')
if keyB == 0:
sys.exit('The affine cipher becomes incredibly weak when keyB is set to 0. Choose a different key.')
if cryptomath.gcd(keyA, len(LETTERS)) != 1:
sys.exit('The key (%s) and the size of the alphabet (%s) are not relatively prime. Choose a different key.' % (keyA, len(LETTERS)))
ciphertext = ''
for symbol in message:
if symbol in LETTERS:
# encrypt this symbol
symIndex = LETTERS.find(symbol)
ciphertext += LETTERS[(symIndex * keyA + keyB) % len(LETTERS)]
else:
# just append this symbol unencrypted
ciphertext += symbol
return ciphertext
def hackAffine(message):
# Comment the code
# and put this into its own module??
for key in range(len(affineCipher.SYMBOLS) ** 2):
keyA = affineCipher.getKeyParts(key)[0]
if cryptomath.gcd(keyA, len(affineCipher.SYMBOLS)) != 1:
continue
decryptedText = affineCipher.decryptMessage(key, message)
print('Tried Key %s... (%s)' % (key, decryptedText[:40]))
if detectEnglish.isEnglish(decryptedText):
# Check with the user if the decrypted key has been found.
CipherName = ("Affine cipher with key of {}".format(key))
englishMSG = ("key {}: {}".format(key, decryptedText))
EnglishDetected(CipherName, EnglishMSG, File)
return None
def generate_key(key_size):
print('Генерация числа p...')
p = rabinMiller.generateLargePrime(key_size)
print('Генерация числа q...')
q = rabinMiller.generateLargePrime(key_size)
n = p * q
print('Генерация числа e...')
while True:
e = random.randrange(2 ** (key_size - 1), 2 ** key_size)
if cryptomath.gcd(e, (p - 1) * (q - 1)) == 1:
break
print('Рассчет d...')
d = cryptomath.findModInverse(e, (p - 1) * (q - 1))
public_key = (n, e)
private_key = (n, d)
print('Открытый ключ:', public_key)
print('Закрытый ключ:', private_key)
return public_key, private_key
def generateKey(keySize=DEFAULT_KEY_SIZE):
# Creates a public/private key pair with keys that are keySize bits in
# size. This function may take a while to run.
# Step 1: Create two prime numbers, p and q.
if not SILENT_MODE:
print("Generating p prime...")
p = rabinMiller.generateLargePrime(keySize)
if not SILENT_MODE:
print("Generating q prime...")
q = rabinMiller.generateLargePrime(keySize)
# Step 2: Create a number e.
if not SILENT_MODE:
print("Generating e that is relatively prime to (p-1)*(q-1)...")
while True:
# Come up with an e that is relatively prime to (p-1)*(q-1)
e = random.randrange(2 ** (keySize - 1), 2 ** (keySize))
if cryptomath.gcd(e, (p - 1) * (q - 1)) == 1:
break
n = p * q
# Step 3: Get the mod inverse of e.
if not SILENT_MODE:
print("Calculating d that is mod inverse of e...")
d = cryptomath.findModInverse(e, (p - 1) * (q - 1))
publicKey = (n, e)
privateKey = (n, d)
if not SILENT_MODE:
print("Public key:")
print(publicKey)
print("Private key:")
print(privateKey)
return (publicKey, privateKey)
import cryptomath print (cryptomath.gcd(24,32)) print (cryptomath.gcd(37,41)) print (cryptomath.findModInverse(7,26)) print (cryptomath.findModInverse(8953851,26))
def getRandomKey():
while True:
keyA = random.randint(2,len(SYMBOLS))
keyB = random.randint(2,len(SYMBOLS))
if cryptomath.gcd(keyA,len(SYMBOLS)) == 1:
return keyA * len(SYMBOLS) + keyB
# This program proves that the keyspace of the affine cipher is limited
# to len(SYMBOLS) ^ 2.
import affineCipher
import cryptomath
message = 'Make things as simple as possible, but not simpler.'
for keyA in range(2, 100):
key = keyA * len(affineCipher.SYMBOLS) + 1
if cryptomath.gcd(keyA, len(affineCipher.SYMBOLS)) == 1:
print(keyA, affineCipher.encryptMessage(key, message))
