mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-10-06 13:49:30 +00:00
2d5dd6f132
* MAINT: Used f-string method Updated the code with f-string methods wherever required for a better and cleaner understanding of the code. * Updated files with f-string method * Update rsa_key_generator.py * Update rsa_key_generator.py * Update elgamal_key_generator.py * Update lru_cache.py I don't think this change is efficient but it might tackle the error as the error was due to using long character lines. * Update lru_cache.py * Update lru_cache.py Co-authored-by: cyai <seriesscar@gmail.com> Co-authored-by: Christian Clauss <cclauss@me.com>
70 lines
2.2 KiB
Python
70 lines
2.2 KiB
Python
import os
|
|
import random
|
|
import sys
|
|
|
|
from . import cryptomath_module as cryptomath
|
|
from . import rabin_miller
|
|
|
|
min_primitive_root = 3
|
|
|
|
|
|
# I have written my code naively same as definition of primitive root
|
|
# however every time I run this program, memory exceeded...
|
|
# so I used 4.80 Algorithm in
|
|
# Handbook of Applied Cryptography(CRC Press, ISBN : 0-8493-8523-7, October 1996)
|
|
# and it seems to run nicely!
|
|
def primitive_root(p_val: int) -> int:
|
|
print("Generating primitive root of p")
|
|
while True:
|
|
g = random.randrange(3, p_val)
|
|
if pow(g, 2, p_val) == 1:
|
|
continue
|
|
if pow(g, p_val, p_val) == 1:
|
|
continue
|
|
return g
|
|
|
|
|
|
def generate_key(key_size: int) -> tuple[tuple[int, int, int, int], tuple[int, int]]:
|
|
print("Generating prime p...")
|
|
p = rabin_miller.generateLargePrime(key_size) # select large prime number.
|
|
e_1 = primitive_root(p) # one primitive root on modulo p.
|
|
d = random.randrange(3, p) # private_key -> have to be greater than 2 for safety.
|
|
e_2 = cryptomath.find_mod_inverse(pow(e_1, d, p), p)
|
|
|
|
public_key = (key_size, e_1, e_2, p)
|
|
private_key = (key_size, d)
|
|
|
|
return public_key, private_key
|
|
|
|
|
|
def make_key_files(name: str, keySize: int) -> None:
|
|
if os.path.exists(f"{name}_pubkey.txt") or os.path.exists(f"{name}_privkey.txt"):
|
|
print("\nWARNING:")
|
|
print(
|
|
'"%s_pubkey.txt" or "%s_privkey.txt" already exists. \n'
|
|
"Use a different name or delete these files and re-run this program."
|
|
% (name, name)
|
|
)
|
|
sys.exit()
|
|
|
|
publicKey, privateKey = generate_key(keySize)
|
|
print(f"\nWriting public key to file {name}_pubkey.txt...")
|
|
with open(f"{name}_pubkey.txt", "w") as fo:
|
|
fo.write(
|
|
"%d,%d,%d,%d" % (publicKey[0], publicKey[1], publicKey[2], publicKey[3])
|
|
)
|
|
|
|
print(f"Writing private key to file {name}_privkey.txt...")
|
|
with open(f"{name}_privkey.txt", "w") as fo:
|
|
fo.write("%d,%d" % (privateKey[0], privateKey[1]))
|
|
|
|
|
|
def main() -> None:
|
|
print("Making key files...")
|
|
make_key_files("elgamal", 2048)
|
|
print("Key files generation successful")
|
|
|
|
|
|
if __name__ == "__main__":
|
|
main()
|