mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-10-06 13:49:30 +00:00
9316e7c014
* flake8 --max-line-length=88
* fixup! Format Python code with psf/black push
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
72 lines
2.1 KiB
Python
72 lines
2.1 KiB
Python
import os
|
|
import random
|
|
import sys
|
|
|
|
import cryptomath_module as cryptoMath
|
|
import rabin_miller as rabinMiller
|
|
|
|
min_primitive_root = 3
|
|
|
|
|
|
def main():
|
|
print("Making key files...")
|
|
makeKeyFiles("elgamal", 2048)
|
|
print("Key files generation successful")
|
|
|
|
|
|
# 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 primitiveRoot(p_val):
|
|
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 generateKey(keySize):
|
|
print("Generating prime p...")
|
|
p = rabinMiller.generateLargePrime(keySize) # select large prime number.
|
|
e_1 = primitiveRoot(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.findModInverse(pow(e_1, d, p), p)
|
|
|
|
publicKey = (keySize, e_1, e_2, p)
|
|
privateKey = (keySize, d)
|
|
|
|
return publicKey, privateKey
|
|
|
|
|
|
def makeKeyFiles(name, keySize):
|
|
if os.path.exists("%s_pubkey.txt" % name) or os.path.exists(
|
|
"%s_privkey.txt" % name
|
|
):
|
|
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 = generateKey(keySize)
|
|
print("\nWriting public key to file %s_pubkey.txt..." % name)
|
|
with open("%s_pubkey.txt" % name, "w") as fo:
|
|
fo.write(
|
|
"%d,%d,%d,%d" % (publicKey[0], publicKey[1], publicKey[2], publicKey[3])
|
|
)
|
|
|
|
print("Writing private key to file %s_privkey.txt..." % name)
|
|
with open("%s_privkey.txt" % name, "w") as fo:
|
|
fo.write("%d,%d" % (privateKey[0], privateKey[1]))
|
|
|
|
|
|
if __name__ == "__main__":
|
|
main()
|