import os import random import sys from maths.greatest_common_divisor import gcd_by_iterative from . import cryptomath_module, rabin_miller def main() -> None: print("Making key files...") make_key_files("rsa", 1024) print("Key files generation successful.") def generate_key(key_size: int) -> tuple[tuple[int, int], tuple[int, int]]: """ >>> random.seed(0) # for repeatability >>> public_key, private_key = generate_key(8) >>> public_key (26569, 239) >>> private_key (26569, 2855) """ p = rabin_miller.generate_large_prime(key_size) q = rabin_miller.generate_large_prime(key_size) n = p * q # Generate e that is relatively prime to (p - 1) * (q - 1) while True: e = random.randrange(2 ** (key_size - 1), 2 ** (key_size)) if gcd_by_iterative(e, (p - 1) * (q - 1)) == 1: break # Calculate d that is mod inverse of e d = cryptomath_module.find_mod_inverse(e, (p - 1) * (q - 1)) public_key = (n, e) private_key = (n, d) return (public_key, private_key) def make_key_files(name: str, key_size: int) -> None: if os.path.exists(f"{name}_pubkey.txt") or os.path.exists(f"{name}_privkey.txt"): print("\nWARNING:") print( f'"{name}_pubkey.txt" or "{name}_privkey.txt" already exists. \n' "Use a different name or delete these files and re-run this program." ) sys.exit() public_key, private_key = generate_key(key_size) print(f"\nWriting public key to file {name}_pubkey.txt...") with open(f"{name}_pubkey.txt", "w") as out_file: out_file.write(f"{key_size},{public_key[0]},{public_key[1]}") print(f"Writing private key to file {name}_privkey.txt...") with open(f"{name}_privkey.txt", "w") as out_file: out_file.write(f"{key_size},{private_key[0]},{private_key[1]}") if __name__ == "__main__": main()