mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-05 02:40:16 +00:00
583a614fef
* Deleted greatest_common_divisor def from many files and instead imported the method from Maths folder * Deleted greatest_common_divisor def from many files and instead imported the method from Maths folder, also fixed comments * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Deleted greatest_common_divisor def from many files and instead imported the method from Maths folder, also fixed comments * Imports organized * recursive gcd function implementation rolledback * more gcd duplicates removed * more gcd duplicates removed * Update maths/carmichael_number.py * updated files * moved a file to another location --------- Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com> Co-authored-by: Tianyi Zheng <tianyizheng02@gmail.com>
64 lines
1.9 KiB
Python
64 lines
1.9 KiB
Python
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()
|