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| from cryptography.hazmat.primitives.ciphers import Cipher, algorithms, modes
from cryptography.hazmat.primitives import hashes
from cryptography.hazmat.primitives.kdf.hkdf import HKDF
import math
class FF1Algorithm:
def __init__(self, key, tweak=b""):
self.key = key
self.tweak = tweak
self.radix = 10 # For decimal digits
def encrypt(self, plaintext):
"""Encrypt using FF1"""
n = len(plaintext)
u = n // 2
v = n - u
A = plaintext[:u]
B = plaintext[u:]
# 10 rounds
for i in range(10):
# Calculate C
C = self.calculate_C(A, i, u, v)
# Calculate P
P = self.calculate_P(C, i)
# Calculate Y
Y = self.calculate_Y(P)
# Calculate Z
Z = self.calculate_Z(Y, B)
# Update A and B
A_new = B
B_new = self.subtract_mod_radix(A, Z)
A = A_new
B = B_new
return A + B
def decrypt(self, ciphertext):
"""Decrypt using FF1"""
n = len(ciphertext)
u = n // 2
v = n - u
A = ciphertext[:u]
B = ciphertext[u:]
# 10 rounds in reverse order
for i in range(9, -1, -1):
# Calculate C
C = self.calculate_C(A, i, u, v)
# Calculate P
P = self.calculate_P(C, i)
# Calculate Y
Y = self.calculate_Y(P)
# Calculate Z
Z = self.calculate_Z(Y, B)
# Update A and B
B_new = A
A_new = self.add_mod_radix(B, Z)
A = A_new
B = B_new
return A + B
def calculate_C(self, A, i, u, v):
"""Calculate C according to FF1"""
# Simplified implementation
return f"{i:02d}{A}{u:02d}{v:02d}"
def calculate_P(self, C, i):
"""Calculate P according to FF1"""
# Simplified implementation
return f"{C}{self.tweak.decode()}{i:02d}"
def calculate_Y(self, P):
"""Calculate Y using AES"""
cipher = Cipher(algorithms.AES(self.key), modes.ECB())
encryptor = cipher.encryptor()
# Padding for multiple of 16 bytes
padded_P = P.encode().ljust(16, b'\x00')
encrypted = encryptor.update(padded_P) + encryptor.finalize()
return encrypted
def calculate_Z(self, Y, B):
"""Calculate Z"""
# Simplified implementation
return Y[:len(B)]
def add_mod_radix(self, a, b):
"""Addition modulo radix"""
result = ""
carry = 0
for i in range(len(a) - 1, -1, -1):
sum_digits = int(a[i]) + int(b[i]) + carry
result = str(sum_digits % self.radix) + result
carry = sum_digits // self.radix
return result
def subtract_mod_radix(self, a, b):
"""Subtraction modulo radix"""
result = ""
borrow = 0
for i in range(len(a) - 1, -1, -1):
diff = int(a[i]) - int(b[i]) - borrow
if diff < 0:
diff += self.radix
borrow = 1
else:
borrow = 0
result = str(diff) + result
return result
# Usage example
key = b'1234567890123456' # 16 bytes for AES-128
fpe = FF1Algorithm(key, tweak=b"tweak")
# Encrypt credit card number
credit_card = "4111111111111111"
encrypted = fpe.encrypt(credit_card)
print(f"Encrypted card: {encrypted}")
# Decrypt
decrypted = fpe.decrypt(encrypted)
print(f"Decrypted card: {decrypted}")
|