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* updating DIRECTORY.md
* updating DIRECTORY.md
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* updating DIRECTORY.md
* updating DIRECTORY.md
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* Update rsa_key_generator.py
* Update rsa_key_generator.py
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: John Law <johnlaw.po@gmail.com>
72 lines
2.2 KiB
Python
72 lines
2.2 KiB
Python
import os
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import random
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import sys
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from . import cryptomath_module as cryptoMath
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from . import rabin_miller as rabinMiller
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min_primitive_root = 3
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def main():
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print("Making key files...")
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makeKeyFiles("elgamal", 2048)
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print("Key files generation successful")
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# I have written my code naively same as definition of primitive root
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# however every time I run this program, memory exceeded...
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# so I used 4.80 Algorithm in
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# Handbook of Applied Cryptography(CRC Press, ISBN : 0-8493-8523-7, October 1996)
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# and it seems to run nicely!
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def primitiveRoot(p_val: int) -> int:
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print("Generating primitive root of p")
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while True:
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g = random.randrange(3, p_val)
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if pow(g, 2, p_val) == 1:
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continue
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if pow(g, p_val, p_val) == 1:
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continue
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return g
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def generateKey(keySize: int) -> ((int, int, int, int), (int, int)):
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print("Generating prime p...")
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p = rabinMiller.generateLargePrime(keySize) # select large prime number.
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e_1 = primitiveRoot(p) # one primitive root on modulo p.
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d = random.randrange(3, p) # private_key -> have to be greater than 2 for safety.
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e_2 = cryptoMath.findModInverse(pow(e_1, d, p), p)
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publicKey = (keySize, e_1, e_2, p)
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privateKey = (keySize, d)
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return publicKey, privateKey
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def makeKeyFiles(name: str, keySize: int):
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if os.path.exists("%s_pubkey.txt" % name) or os.path.exists(
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"%s_privkey.txt" % name
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):
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print("\nWARNING:")
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print(
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'"%s_pubkey.txt" or "%s_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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% (name, name)
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)
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sys.exit()
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publicKey, privateKey = generateKey(keySize)
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print("\nWriting public key to file %s_pubkey.txt..." % name)
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with open("%s_pubkey.txt" % name, "w") as fo:
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fo.write(
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"%d,%d,%d,%d" % (publicKey[0], publicKey[1], publicKey[2], publicKey[3])
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)
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print("Writing private key to file %s_privkey.txt..." % name)
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with open("%s_privkey.txt" % name, "w") as fo:
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fo.write("%d,%d" % (privateKey[0], privateKey[1]))
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if __name__ == "__main__":
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main()
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