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351 lines
10 KiB
Python
351 lines
10 KiB
Python
#pip install pyinstaller
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#pyinstaller -F -i "icon.ico" portable.py
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#exe into dist folder
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import numpy as np
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import galois
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import random
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import getpass
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def main():
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safe_start()
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def safe_start():
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try:
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start_menu()
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except:
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print("\nUnknown error, maybe ctrl+c\n")
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def start_menu():
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f = True
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print("\nA soldering iron is into a black hole.")
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#thermorectal cryptanalysis
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if myhash(getpass.getpass("Login: ")) != 1314399736851798576:
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f = False
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if myhash(getpass.getpass("Password: ")) != 192441972608755898:
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f = False
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if f:
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print("Authorization successful, wait a bit.")
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menu()
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else:
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print("Permission denied.")
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print("\nPress ENTER to exit.", end = '')
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input()
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def menu():
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order = 2 ** 8
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n = order - 1
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k = 210
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#print(galois.GF(2 ** 8).properties)
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GF = galois.GF(2, 8, irreducible_poly = "x^8 + x^4 + x^3 + x^2 + 1", primitive_element = "x", verify = False)
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rs = galois.ReedSolomon(n, k, field = GF)
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print("\nMcEliece cryptosystem implementation by vovuas2003.\n")
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print("All necessary txt files must be located in the directory with this exe program.\n")
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info = "Menu numbers: 0 = exit, 1 = generate keys, 2 = encrypt, 3 = decrypt,\n4 = restore pubkey, 5 = break privkey_s, 6 = break privkey_p; h = help.\n"
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err = "Error! Check command info and try again!\n"
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ok = "Operation successful.\n"
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inp = [str(i) for i in range(7)] + ['h'] + ['1337']
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print(info)
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while True:
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s = input("Menu number: ")
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while s not in inp:
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s = input("Wrong menu number, h = help: ")
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if s == 'h':
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print(info)
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elif s == '0':
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print("\nGood luck!")
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break
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elif s == '1':
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print("This operation will rewrite pubkey.txt, privkey_s.txt and privkey_p.txt; are you sure?")
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if(not get_yes_no()):
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continue
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try:
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generate(n, k, GF, rs)
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print(ok)
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except:
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print(err)
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elif s == '2':
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print("Write your text into text.txt; pubkey.txt is required, message.txt will be rewritten.")
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if(not get_yes_no()):
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continue
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try:
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encrypt(n, k, order, GF)
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print(ok)
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except:
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print(err)
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elif s == '3':
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print("You need message.txt, privkey_s.txt and privkey_p.txt; text.txt will be rewritten.")
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if(not get_yes_no()):
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continue
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try:
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decrypt(n, GF, rs)
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print(ok)
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except:
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print(err)
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elif s == '4':
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print("You need privkey_s.txt and privkey_p.txt; pubkey.txt will be rewritten.")
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if(not get_yes_no()):
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continue
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try:
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restore_G_(n, GF, rs)
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print(ok)
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except:
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print(err)
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elif s == '5':
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print("You need pubkey.txt and privkey_p.txt; privkey_s.txt will be rewritten.")
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if(not get_yes_no()):
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continue
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try:
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break_S(n, k, GF)
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print(ok)
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except:
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print(err)
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elif s == '6':
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print("You need pubkey.txt and privkey_s.txt; privkey_p.txt will be rewritten.")
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if(not get_yes_no()):
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continue
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try:
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break_P(n, GF, rs)
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print(ok)
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except:
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print(err)
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elif s == '1337':
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c = input("Move the soldering iron into the black hole number: ")
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try:
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PT(int(c))
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except:
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print("Iron: 'I don't know this hole.'")
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continue
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else:
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print("Impossible behaviour, mistake in source code!\nThe string allowed in the inp array is not bound to the call of any function!")
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break
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def get_yes_no():
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s = input("Confirm (0 = go back, 1 = continue): ")
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while s not in ['0', '1']:
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s = input("Try again, 0 or 1: ")
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return int(s)
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def myhash(s, m = 2**61 - 1, p = 257):
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a = 0
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for i in range(len(s)):
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a = ((a * p) % m + ord(s[i])) % m
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return a
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def PT(m):
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M = 5
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if m == 0:
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print("Iron: 'OK, I will choose the number by myself.'")
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while m == 0:
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m = random.randint(-M, M)
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s = "PT!"
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p = " "
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f = False
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if m < 0:
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s, p = p, s
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m *= -1
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f = True
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if m > M:
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print("Iron: 'Are you sure to move me so far?'")
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if(not get_yes_no()):
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return
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print()
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if f:
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print(p * (10 * m + 1))
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print(p + (s * 3 + p + s * 3 + p + s + p) * m)
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print(p + (s + p + s + p * 2 + s + p * 2 + s + p) * m)
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print(p + (s * 3 + p * 2 + s + p * 2 + s + p) * m)
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print(p + (s + p * 4 + s + p * 4) * m)
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print(p + (s + p * 4 + s + p * 2 + s + p) * m)
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if f:
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print(p * (10 * m + 1))
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print()
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def generate(n, k, GF, rs):
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S = generate_S(k, GF)
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G = rs.G
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P, p = generate_P(n, GF)
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G_ = S @ G @ P
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write_pubkey(G_)
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write_privkey(S, p)
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def generate_S(k, GF):
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S = GF.Random((k, k))
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while np.linalg.det(S) == 0:
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S = GF.Random((k, k))
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return S
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def generate_P(n, GF):
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r = [i for i in range(n)]
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p = []
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for i in range(n):
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p.append(r.pop(random.randint(0, n - 1 - i)))
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P = GF.Zeros((n, n))
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for i in range(n):
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P[i, p[i]] = 1
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return P, p
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def write_pubkey(G_):
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rows = [" ".join([str(int(cell)) for cell in row]) for row in G_]
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output = "\n".join(rows)
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with open("pubkey.txt", "w") as f:
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f.write(output)
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def write_privkey(S, p):
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output = " ".join([str(i) for i in p])
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with open("privkey_p.txt", "w") as f:
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f.write(output)
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rows = [" ".join([str(int(cell)) for cell in row]) for row in S]
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output = "\n".join(rows)
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with open("privkey_s.txt", "w") as f:
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f.write(output)
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def read_pubkey():
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out = []
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tmp = []
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with open("pubkey.txt", "r") as f:
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while True:
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tmp = f.readline()
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if not tmp:
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break
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out.append([int(i) for i in tmp.split()])
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return out
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def read_privkey_s():
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out = []
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tmp = []
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with open("privkey_s.txt", "r") as f:
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while True:
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tmp = f.readline()
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if not tmp:
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break
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out.append([int(i) for i in tmp.split()])
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return out
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def read_privkey_p():
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with open("privkey_p.txt", "r") as f:
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out = f.readline().split()
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return [int(i) for i in out]
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def build_P(n, GF, p):
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P = GF.Zeros((n, n))
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for i in range(n):
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P[i, p[i]] = 1
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return P
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def build_P_inv(n, GF, p):
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P = GF.Zeros((n, n))
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for i in range(n):
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P[p[i], i] = 1
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return P
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def pad_message(msg: bytes, pad_size: int) -> list[int]:
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padding = pad_size - (len(msg) % pad_size)
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return list(msg + padding.to_bytes() * padding)
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def unpad_message(msg):
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padding_byte = msg[-1]
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for i in range(1, padding_byte + 1):
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if msg[-i] != padding_byte:
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print("Wrong privkey!")
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raise Exception()
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return msg[:-padding_byte]
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def encrypt(n, k, order, GF):
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G_ = GF(read_pubkey())
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with open("text.txt", "r") as f:
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text = f.read()
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text = text.encode()
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with open("message.txt", "w") as f:
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while len(text) > k - 1:
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tmp = text[: k - 1]
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text = text[k - 1 :]
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c = encrypt_one(n, k, order, GF, G_, tmp)
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f.write(" ".join([str(i) for i in c]))
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f.write("\n")
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c = encrypt_one(n, k, order, GF, G_, text)
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f.write(" ".join([str(i) for i in c]))
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def encrypt_one(n, k, order, GF, G_, text):
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msg = pad_message(text, k)
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m = GF(msg)
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c = m.T @ G_
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t = (n - k) // 2
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z = np.zeros(n, dtype = int)
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p = [i for i in range(n)]
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for i in range(t):
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ind = p.pop(random.randint(0, n - 1 - i))
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z[ind] += random.randint(1, order - 1)
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z[ind] %= order
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return c + GF(z)
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def decrypt(n, GF, rs):
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S_inv = np.linalg.inv(GF(read_privkey_s()))
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P_inv = GF(build_P_inv(n, GF, read_privkey_p()))
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s = []
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with open("message.txt", "r") as inp, open("text.txt", "w") as out:
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while True:
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msg = inp.readline()
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if not msg:
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break
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msg = GF(list(map(int, msg.split())))
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s += decrypt_one(rs, S_inv, P_inv, msg)
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out.write(bytes(s).decode())
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def decrypt_one(rs, S_inv, P_inv, msg):
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msg = msg @ P_inv
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msg, e = rs.decode(msg, errors = True)
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if e == -1:
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print("Too many erroneous values in message!")
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raise Exception()
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msg = msg @ S_inv
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msg = [int(i) for i in msg]
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msg = unpad_message(msg)
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return msg
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def restore_G_(n, GF, rs):
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S = GF(read_privkey_s())
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G = rs.G
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P = GF(build_P(n, GF, read_privkey_p()))
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G_ = S @ G @ P
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write_pubkey(G_)
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def break_S(n, k, GF):
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G_ = GF(read_pubkey())
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P_inv = GF(build_P_inv(n, GF, read_privkey_p()))
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S = G_ @ P_inv
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S = S[:, : k]
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rows = [" ".join([str(int(cell)) for cell in row]) for row in S]
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output = "\n".join(rows)
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with open("privkey_s.txt", "w") as f:
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f.write(output)
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def break_P(n, GF, rs):
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G_ = GF(read_pubkey())
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S_inv = np.linalg.inv(GF(read_privkey_s()))
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G = rs.G
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G = G.T
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G = [[int(i) for i in j] for j in G]
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GP = S_inv @ G_
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GP = GP.T
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GP = [[int(i) for i in j] for j in GP]
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p = [0 for i in range(n)]
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f = False
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for i in range(n):
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f = False
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for j in range(n):
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if G[i] == GP[j]:
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p[i] = j
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f = True
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break
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if f:
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continue
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print("Wrong pubkey and privkey_s combination!")
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raise Exception()
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output = " ".join([str(i) for i in p])
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with open("privkey_p.txt", "w") as f:
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f.write(output)
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if __name__ == "__main__":
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main()
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