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