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* ci(pre-commit): Add pep8-naming to `pre-commit` hooks (#7038) * refactor: Fix naming conventions (#7038) * Update arithmetic_analysis/lu_decomposition.py Co-authored-by: Christian Clauss <cclauss@me.com> * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * refactor(lu_decomposition): Replace `NDArray` with `ArrayLike` (#7038) * chore: Fix naming conventions in doctests (#7038) * fix: Temporarily disable project euler problem 104 (#7069) * chore: Fix naming conventions in doctests (#7038) Co-authored-by: Christian Clauss <cclauss@me.com> Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
70 lines
2.2 KiB
Python
70 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
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min_primitive_root = 3
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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 primitive_root(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 generate_key(key_size: int) -> tuple[tuple[int, int, int, int], tuple[int, int]]:
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print("Generating prime p...")
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p = rabin_miller.generate_large_prime(key_size) # select large prime number.
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e_1 = primitive_root(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.find_mod_inverse(pow(e_1, d, p), p)
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public_key = (key_size, e_1, e_2, p)
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private_key = (key_size, 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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'"%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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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 fo:
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fo.write(
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"%d,%d,%d,%d" % (public_key[0], public_key[1], public_key[2], public_key[3])
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)
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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 fo:
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fo.write("%d,%d" % (private_key[0], private_key[1]))
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def main() -> None:
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print("Making key files...")
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make_key_files("elgamal", 2048)
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print("Key files generation successful")
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if __name__ == "__main__":
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main()
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