global refactoring
parent
f1d912fb5d
commit
1fcbcc98c5
@ -0,0 +1,130 @@
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#pyinstaller -F -w -i "icon.ico" McEliece_GUI.py
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import cryptosystem_core as core
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import tkinter as tk
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def mymessagebox(fontsize, butsize, mytitle, mytext):
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toplevel = tk.Toplevel(window)
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toplevel.title(mytitle)
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toplevel.geometry(f"600x400+{window.winfo_x()+40}+{window.winfo_y()+15}")
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toplevel.resizable(False, False)
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l = tk.Label(toplevel, text = mytext, font = ("TkDefaultFont", fontsize))
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l.pack()
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b = tk.Button(toplevel, text = "Close", command = toplevel.destroy, width = 10, font = ("TkDefaultFont", butsize))
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b.pack()
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def show_error():
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mymessagebox(30, 30, "Error!", "ERROR!\n\nPress help button\nto show common\nmistakes in usage.\n")
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def button0_click():
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mymessagebox(15, 15, "Source code: github.com/vovuas2003/McEliece", "Program can work slow and doesn't response, it is normal.\n1st line = current configuration of cryptosystem.\n2nd line = public key (send to anybody).\n3rd line = first half (s) of private key (keep in secret!).\n4th line = second half (p) of private key (keep in secret!).\nBig field = place for writing text or pasting message.\nGenerate keys = rewrite all 3 keys.\nEncrypt = pubkey is required.\nDecrypt = both privkeys are required.\nYou can restore any key from the other two.\nConfig = change cryptosystem parameters n and k.\n(two numbers separated by a space, default: 255 210)\n(255 mod n = 0; 255 = 3 * 5 * 17)\n(2 <= k <= n; (n - k) div 2 bytes are randomly changed)\nPT! = just easter egg :)")
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def button1_click():
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try:
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new_text1, new_text2, new_text3 = core.generate()
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entry1.delete(0, tk.END)
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entry1.insert(0, new_text1)
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entry2.delete(0, tk.END)
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entry2.insert(0, new_text2)
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entry3.delete(0, tk.END)
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entry3.insert(0, new_text3)
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except:
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show_error()
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def button2_click():
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try:
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G = entry1.get()
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text = entry4.get("1.0", "end-1c")
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new_text4 = core.encrypt(G, text)
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entry4.delete("1.0", tk.END)
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entry4.insert("1.0", new_text4)
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except:
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show_error()
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def button3_click():
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try:
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S = entry2.get()
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P = entry3.get()
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msg = entry4.get("1.0", "end-1c")
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new_text4 = core.decrypt(S, P, msg)
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entry4.delete("1.0", tk.END)
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entry4.insert("1.0", new_text4)
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except:
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show_error()
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def button4_click():
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try:
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S = entry2.get()
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P = entry3.get()
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new_text1 = core.restore_G(S, P)
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entry1.delete(0, tk.END)
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entry1.insert(0, new_text1)
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except:
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show_error()
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def button5_click():
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try:
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G = entry1.get()
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P = entry3.get()
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new_text2 = core.break_S(G, P)
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entry2.delete(0, tk.END)
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entry2.insert(0, new_text2)
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except:
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show_error()
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def button6_click():
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try:
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G = entry1.get()
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S = entry2.get()
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new_text3 = core.break_P(G, S)
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entry3.delete(0, tk.END)
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entry3.insert(0, new_text3)
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except:
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show_error()
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def button7_click():
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try:
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core.config(entry0.get())
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except:
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entry0.delete(0, tk.END)
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entry0.insert(0, str(core.n) + " " + str(core.k))
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show_error()
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def button8_click():
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mymessagebox(200, 15, "PT!" * 25, "PT!")
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window = tk.Tk()
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window.title("McEliece by vovuas2003")
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frame_buttons = tk.Frame(window)
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frame_buttons.pack(side = tk.TOP, fill = tk.X)
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buttons = []
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but_names = ["help", "generate keys", "encrypt text", "decrypt message", "pubkey = s + p", "s = pubkey + p", "p = pubkey + s", "change config", "PT!"]
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but_com = [button0_click, button1_click, button2_click, button3_click, button4_click, button5_click, button6_click, button7_click, button8_click]
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for i in range(9):
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buttons.append(tk.Button(frame_buttons, text = but_names[i], command = but_com[i]))
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for button in buttons:
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button.pack(side = tk.LEFT)
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entry0 = tk.Entry(window, width = 50)
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entry1 = tk.Entry(window, width = 50)
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entry2 = tk.Entry(window, width = 50)
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entry3 = tk.Entry(window, width = 50)
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entry4 = tk.Text(window, height = 20, width = 50)
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entry0.insert(0, "255 210 (default config)")
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entry1.insert(0, "pubkey")
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entry2.insert(0, "privkey s")
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entry3.insert(0, "privkey p")
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entry4.insert("1.0", "Write a text or paste a message here!\nAll utf-8 symbols are supported, e.g. alt codes and Russian text.\n\n(use ctrl+a before crtl+v or ctrl+c)\n(switch keyboard layout to english to use these shortcuts)\n\nYou can't resize window, but can scroll down.\nProgram can work slow, don't kill it please :)")
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entry0.pack()
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entry1.pack()
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entry2.pack()
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entry3.pack()
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entry4.pack(fill = tk.BOTH, expand = True)
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window.resizable(False, False)
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window.mainloop()
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@ -0,0 +1,262 @@
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#pyinstaller -F -i "icon.ico" McEliece_console.py
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import getpass
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import random
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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), emergency exit!")
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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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import cryptosystem_core as core
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print("\nMcEliece cryptosystem implementation by vovuas2003.\n")
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print("All necessary txt files must be in utf-8 and 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;\n-0 = init all txt files, -1 = init keys, -2 = init text, -3 = init message,\n-4 = init pubkey, -5 = init privkey_s, -6 = init privkey_p;\nc = config, 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)] + ['-' + str(i) for i in range(7)] + ['c', '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 == 'c':
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print("Default config is 255 210, current is " + str(core.n) + " " + str(core.k) + ". Change config?")
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if(not get_yes_no()):
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continue
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try:
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print("Config is two numbers n >= k >= 2; (3 * 5 * 17) mod n = 0.")
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core.config(input("Write n and k separated by a space: "))
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print(ok)
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except:
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print(err)
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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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G, S, P = core.generate()
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write_txt("pubkey", G)
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write_txt("privkey_s", S)
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write_txt("privkey_p", P)
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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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G = read_txt("pubkey")
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text = read_txt("text")
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msg = core.encrypt(G, text)
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write_txt("message", msg)
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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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S = read_txt("privkey_s")
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P = read_txt("privkey_p")
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msg = read_txt("message")
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text = core.decrypt(S, P, msg)
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write_txt("text", text)
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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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S = read_txt("privkey_s")
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P = read_txt("privkey_p")
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G = core.restore_G(S, P)
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write_txt("pubkey", G)
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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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G = read_txt("pubkey")
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P = read_txt("privkey_p")
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S = core.break_S(G, P)
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write_txt("privkey_s", S)
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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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G = read_txt("pubkey")
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S = read_txt("privkey_s")
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P = core.break_P(G, S)
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write_txt("privkey_p", P)
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print(ok)
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except:
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print(err)
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elif s == '-0':
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print("Create (or make empty) all 5 necessary txt files in right utf-8 encoding.")
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if(not get_yes_no()):
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continue
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try:
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write_txt("pubkey", "")
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write_txt("privkey_s", "")
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write_txt("privkey_p", "")
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write_txt("text", "")
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write_txt("message", "")
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print(ok)
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except:
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print(err)
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elif s == '-1':
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print("Create (or make empty) all 3 keys txt files in right utf-8 encoding.")
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if(not get_yes_no()):
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continue
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try:
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write_txt("pubkey", "")
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write_txt("privkey_s", "")
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write_txt("privkey_p", "")
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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("Create (or make empty) text.txt in right utf-8 encoding.")
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if(not get_yes_no()):
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continue
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try:
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write_txt("text", "")
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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("Create (or make empty) message.txt in right utf-8 encoding.")
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if(not get_yes_no()):
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continue
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try:
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write_txt("message", "")
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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("Create (or make empty) pubkey.txt in right utf-8 encoding.")
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if(not get_yes_no()):
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continue
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try:
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write_txt("pubkey", "")
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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("Create (or make empty) privkey_s.txt in right utf-8 encoding.")
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if(not get_yes_no()):
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continue
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try:
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write_txt("privkey_s", "")
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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("Create (or make empty) privkey_p.txt in right utf-8 encoding.")
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if(not get_yes_no()):
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continue
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try:
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write_txt("privkey_p", "")
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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, M = 3):
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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?'")
|
||||||
|
if(not get_yes_no()):
|
||||||
|
return
|
||||||
|
print()
|
||||||
|
if f:
|
||||||
|
print(p * (10 * m + 1))
|
||||||
|
print(p + (s * 3 + p + s * 3 + p + s + p) * m)
|
||||||
|
print(p + (s + p + s + p * 2 + s + p * 2 + s + p) * m)
|
||||||
|
print(p + (s * 3 + p * 2 + s + p * 2 + s + p) * m)
|
||||||
|
print(p + (s + p * 4 + s + p * 4) * m)
|
||||||
|
print(p + (s + p * 4 + s + p * 2 + s + p) * m)
|
||||||
|
if f:
|
||||||
|
print(p * (10 * m + 1))
|
||||||
|
print()
|
||||||
|
|
||||||
|
def write_txt(name, string):
|
||||||
|
with open(name + ".txt", "w", encoding = "utf-8") as f:
|
||||||
|
f.write(string)
|
||||||
|
|
||||||
|
def read_txt(name):
|
||||||
|
with open(name + ".txt", "r", encoding = "utf-8") as f:
|
||||||
|
out = f.read()
|
||||||
|
return out
|
||||||
|
|
||||||
|
if __name__ == "__main__":
|
||||||
|
main()
|
||||||
@ -1,61 +0,0 @@
|
|||||||
#break cryptosystem if know a half of private key
|
|
||||||
|
|
||||||
import numpy as np
|
|
||||||
import galois
|
|
||||||
|
|
||||||
import pubkey
|
|
||||||
import privkey
|
|
||||||
import message
|
|
||||||
|
|
||||||
n = 127
|
|
||||||
k = 32
|
|
||||||
order = 2 ** 7
|
|
||||||
GF = galois.GF(order)
|
|
||||||
|
|
||||||
def main():
|
|
||||||
G_ = GF(pubkey.get()) #we need to know a public matrix
|
|
||||||
P = GF(privkey.get_P()) #and P - only one of two private matrices
|
|
||||||
S = break_S(P, G_) #to calculate S - the second part of private key
|
|
||||||
c = GF(message.get())
|
|
||||||
print(decode(S, P, c)) #and decode the message
|
|
||||||
|
|
||||||
def unpad_message(msg):
|
|
||||||
padding_byte = msg[-1]
|
|
||||||
for i in range(1, padding_byte + 1):
|
|
||||||
if msg[-i] != padding_byte:
|
|
||||||
raise ValueError("Incorrect padding!")
|
|
||||||
return msg[:-padding_byte]
|
|
||||||
|
|
||||||
def my_fix(A):
|
|
||||||
#make square matrix by deleting right columns
|
|
||||||
l = len(A)
|
|
||||||
r = GF.Zeros((l, l))
|
|
||||||
for i in range(l):
|
|
||||||
for j in range(l):
|
|
||||||
r[i][j] = A[i][j]
|
|
||||||
return r
|
|
||||||
|
|
||||||
def decode(S, P, c):
|
|
||||||
rs = galois.ReedSolomon(n, k, field=GF)
|
|
||||||
c = c @ np.linalg.inv(P)
|
|
||||||
c = rs.decode(c)
|
|
||||||
c = c @ np.linalg.inv(S)
|
|
||||||
c = [int(i) for i in c]
|
|
||||||
c = unpad_message(c)
|
|
||||||
c = bytes(c)
|
|
||||||
c = c.decode()
|
|
||||||
return c
|
|
||||||
|
|
||||||
def break_S(P, G_):
|
|
||||||
return my_fix(G_ @ np.linalg.inv(P)) #works for Reed-Solomon
|
|
||||||
#G_ = S @ G @ P
|
|
||||||
rs = galois.ReedSolomon(n, k, field=GF)
|
|
||||||
G = rs.G
|
|
||||||
G_ = G_ @ np.linalg.inv(P)
|
|
||||||
G_ = my_fix(G_)
|
|
||||||
G = my_fix(G) #returns E because we use Reed-Solomon algo
|
|
||||||
S = G_ @ np.linalg.inv(G)
|
|
||||||
return S
|
|
||||||
|
|
||||||
if __name__ == "__main__":
|
|
||||||
main()
|
|
||||||
@ -1,37 +0,0 @@
|
|||||||
import numpy as np
|
|
||||||
import galois
|
|
||||||
|
|
||||||
import privkey
|
|
||||||
import message
|
|
||||||
|
|
||||||
n = 127
|
|
||||||
k = 32
|
|
||||||
order = 2 ** 7
|
|
||||||
GF = galois.GF(order)
|
|
||||||
|
|
||||||
def main():
|
|
||||||
S = GF(privkey.get_S())
|
|
||||||
P = GF(privkey.get_P())
|
|
||||||
c = GF(message.get())
|
|
||||||
print(decode(S, P, c))
|
|
||||||
|
|
||||||
def unpad_message(msg):
|
|
||||||
padding_byte = msg[-1]
|
|
||||||
for i in range(1, padding_byte + 1):
|
|
||||||
if msg[-i] != padding_byte:
|
|
||||||
raise ValueError("Incorrect padding!")
|
|
||||||
return msg[:-padding_byte]
|
|
||||||
|
|
||||||
def decode(S, P, c):
|
|
||||||
rs = galois.ReedSolomon(n, k, field=GF)
|
|
||||||
c = c @ np.linalg.inv(P)
|
|
||||||
c = rs.decode(c)
|
|
||||||
c = c @ np.linalg.inv(S)
|
|
||||||
c = [int(i) for i in c]
|
|
||||||
c = unpad_message(c)
|
|
||||||
c = bytes(c)
|
|
||||||
c = c.decode()
|
|
||||||
return c
|
|
||||||
|
|
||||||
if __name__ == "__main__":
|
|
||||||
main()
|
|
||||||
@ -1,46 +0,0 @@
|
|||||||
import numpy as np
|
|
||||||
import galois
|
|
||||||
import random
|
|
||||||
|
|
||||||
import pubkey
|
|
||||||
|
|
||||||
n = 127
|
|
||||||
k = 32
|
|
||||||
order = 2 ** 7
|
|
||||||
GF = galois.GF(order)
|
|
||||||
|
|
||||||
def main():
|
|
||||||
G_ = GF(pubkey.get())
|
|
||||||
print("Message to encode (max len = k-1 = 31):")
|
|
||||||
message = input()
|
|
||||||
if len(message) > k-1:
|
|
||||||
print("Message is too long!")
|
|
||||||
return
|
|
||||||
ct = encrypt(G_, message)
|
|
||||||
ct = list(map(int, ct))
|
|
||||||
export(ct)
|
|
||||||
print("Done!")
|
|
||||||
|
|
||||||
def pad_message(msg: bytes, pad_size: int) -> list[int]:
|
|
||||||
padding = pad_size - (len(msg) % pad_size)
|
|
||||||
return list(msg + padding.to_bytes() * padding)
|
|
||||||
|
|
||||||
def encrypt(G_, text):
|
|
||||||
msg = pad_message(text.encode(), k)
|
|
||||||
m = GF(msg)
|
|
||||||
c = m.T @ G_
|
|
||||||
t = (n - k) // 2
|
|
||||||
z = np.zeros(n, dtype = int)
|
|
||||||
p = [i for i in range(n)]
|
|
||||||
for i in range(t):
|
|
||||||
z[p.pop(random.randint(0, n - 1 - i))] = random.randint(0, order - 1)
|
|
||||||
return c + GF(z)
|
|
||||||
|
|
||||||
def export(ct):
|
|
||||||
output = "ct = [ " + ", ".join([str(int(cell)) for cell in ct]) + " ]"
|
|
||||||
with open("message.py", "w") as f:
|
|
||||||
f.write(output)
|
|
||||||
f.write("\ndef get():\n\treturn ct")
|
|
||||||
|
|
||||||
if __name__ == "__main__":
|
|
||||||
main()
|
|
||||||
@ -1,58 +0,0 @@
|
|||||||
import numpy as np
|
|
||||||
import galois
|
|
||||||
import random
|
|
||||||
|
|
||||||
n = 127
|
|
||||||
k = 32
|
|
||||||
order = 2 ** 7
|
|
||||||
GF = galois.GF(order)
|
|
||||||
|
|
||||||
def main():
|
|
||||||
S = generate_S()
|
|
||||||
G = generate_G()
|
|
||||||
P = generate_P()
|
|
||||||
G_ = S @ G @ P
|
|
||||||
export_pubkey(G_)
|
|
||||||
export_privkey(S, P)
|
|
||||||
print("Done!")
|
|
||||||
|
|
||||||
def generate_S():
|
|
||||||
S = GF.Random((k, k))
|
|
||||||
while np.linalg.det(S) == 0:
|
|
||||||
S = GF.Random((k, k))
|
|
||||||
return S
|
|
||||||
|
|
||||||
def generate_G():
|
|
||||||
rs = galois.ReedSolomon(n, k, field=GF)
|
|
||||||
G = rs.G
|
|
||||||
return G
|
|
||||||
|
|
||||||
def generate_P():
|
|
||||||
r = [i for i in range(n)]
|
|
||||||
p = []
|
|
||||||
for i in range(n):
|
|
||||||
p.append(r.pop(random.randint(0, n - 1 - i)))
|
|
||||||
P = GF.Zeros((n, n))
|
|
||||||
for i in range(n):
|
|
||||||
P[i, p[i]] = 1
|
|
||||||
return P
|
|
||||||
|
|
||||||
def export_pubkey(G_):
|
|
||||||
rows = [", ".join([str(int(cell)) for cell in row]) for row in G_]
|
|
||||||
output = "G_ = [ " + ",\n".join([f"[{row}]" for row in rows]) + " ]"
|
|
||||||
with open("pubkey.py", "w") as f:
|
|
||||||
f.write(output)
|
|
||||||
f.write("\ndef get():\n\treturn G_")
|
|
||||||
|
|
||||||
def export_privkey(S, P):
|
|
||||||
rows = [", ".join([str(int(cell)) for cell in row]) for row in S]
|
|
||||||
output = "S = [ " + ",\n".join([f"[{row}]" for row in rows]) + " ]\n"
|
|
||||||
rows = [", ".join([str(int(cell)) for cell in row]) for row in P]
|
|
||||||
output += "P = [ " + ",\n".join([f"[{row}]" for row in rows]) + " ]\n"
|
|
||||||
with open("privkey.py", "w") as f:
|
|
||||||
f.write(output)
|
|
||||||
f.write("\ndef get_S():\n\treturn S")
|
|
||||||
f.write("\ndef get_P():\n\treturn P")
|
|
||||||
|
|
||||||
if __name__ == "__main__":
|
|
||||||
main()
|
|
||||||
Binary file not shown.
|
After Width: | Height: | Size: 15 KiB |
@ -1,358 +0,0 @@
|
|||||||
#pip install pyinstaller
|
|
||||||
#pyinstaller -F -i "icon.ico" portable.py
|
|
||||||
#exe into dist folder
|
|
||||||
|
|
||||||
import numpy as np
|
|
||||||
import galois
|
|
||||||
import random
|
|
||||||
import getpass
|
|
||||||
import base64
|
|
||||||
|
|
||||||
def main():
|
|
||||||
safe_start()
|
|
||||||
|
|
||||||
def safe_start():
|
|
||||||
try:
|
|
||||||
start_menu()
|
|
||||||
except:
|
|
||||||
print("\nUnknown error (maybe ctrl+c), emergency exit!")
|
|
||||||
|
|
||||||
def start_menu():
|
|
||||||
f = True
|
|
||||||
print("\nA soldering iron is into a black hole.")
|
|
||||||
#thermorectal cryptanalysis
|
|
||||||
if myhash(getpass.getpass("Login: ")) != 1314399736851798576:
|
|
||||||
f = False
|
|
||||||
if myhash(getpass.getpass("Password: ")) != 192441972608755898:
|
|
||||||
f = False
|
|
||||||
if f:
|
|
||||||
print("Authorization successful, wait a bit.")
|
|
||||||
menu()
|
|
||||||
else:
|
|
||||||
print("Permission denied.")
|
|
||||||
print("\nPress ENTER to exit.", end = '')
|
|
||||||
input()
|
|
||||||
|
|
||||||
def menu():
|
|
||||||
order = 2 ** 8 # = p^m = 256 = byte size, we well encrypt each byte and save in base64 format
|
|
||||||
n = order - 1 # = 255, (order - 1) mod n = 0 for Reed Solomon code (below i will name it RScode), n mod 3 = 0 for base64
|
|
||||||
k = 210 #k mod 3 = 0 for base64, n >= k, RScode can correct (n - k) // 2 errors in message
|
|
||||||
#
|
|
||||||
#print(galois.GF(2 ** 8).properties) to know irreducible_poly and primitive_element (pyinstaller will not add database files)
|
|
||||||
#example of path to *.db files is C:\Python_3_12_2\Lib\site-packages\galois\_databases and _interface.py (which opens the database) is also here
|
|
||||||
#maybe it is possible to use --add-data pyinstaller option, but I didn't figure out which paths to write so that galois could find the database
|
|
||||||
#you can write a function that changes the configuration of the cryptosystem, it is easy to change n and k and rebuild RScode during execution
|
|
||||||
#and if you understand how to add database files using Pyinstaller, you can change the order during portable execution too
|
|
||||||
#you can even use order = 2**7 (or any from 128 to 255 which is p^m where p is prime, m is natural) for ascii coding or make your own alphabet table
|
|
||||||
#but if you want to change the order, you will have to give up the wonderful storage of keys and messages in base64 format...
|
|
||||||
#...and use the first version of this program for saving raw integers (or reduce the order and abandon universal work for any encoding)
|
|
||||||
#
|
|
||||||
#!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
|
|
||||||
#_interface.py causes an error during portable execution if it cannot find the database, but there is a hint at the end of this file:
|
|
||||||
#Alternatively, you can find irreducible polynomials with galois.irreducible_poly(p, m) or primitive polynomials with galois.primitive_poly(p, m).
|
|
||||||
#maybe it the key to the solution of the database problem (as I understand, these functions don't use database), check it; and maybe verify = True
|
|
||||||
#!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
|
|
||||||
#
|
|
||||||
#nothing from the big comment above is needed if you don't want to build portable exe, just GF = galois.GF(order)
|
|
||||||
#
|
|
||||||
GF = galois.GF(2, 8, irreducible_poly = "x^8 + x^4 + x^3 + x^2 + 1", primitive_element = "x", verify = False)
|
|
||||||
rs = galois.ReedSolomon(n, k, field = GF)
|
|
||||||
print("\nMcEliece cryptosystem implementation by vovuas2003.\n")
|
|
||||||
print("All necessary txt files must be located in the directory with this exe program.\n")
|
|
||||||
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"
|
|
||||||
err = "Error! Check command info and try again!\n"
|
|
||||||
ok = "Operation successful.\n"
|
|
||||||
inp = [str(i) for i in range(7)] + ['h'] + ['1337']
|
|
||||||
print(info)
|
|
||||||
while True:
|
|
||||||
s = input("Menu number: ")
|
|
||||||
while s not in inp:
|
|
||||||
s = input("Wrong menu number, h = help: ")
|
|
||||||
if s == 'h':
|
|
||||||
print(info)
|
|
||||||
elif s == '0':
|
|
||||||
print("\nGood luck!")
|
|
||||||
break
|
|
||||||
elif s == '1':
|
|
||||||
print("This operation will rewrite pubkey.txt, privkey_s.txt and privkey_p.txt; are you sure?")
|
|
||||||
if(not get_yes_no()):
|
|
||||||
continue
|
|
||||||
try:
|
|
||||||
generate(n, k, GF, rs)
|
|
||||||
print(ok)
|
|
||||||
except:
|
|
||||||
print(err)
|
|
||||||
elif s == '2':
|
|
||||||
print("Write your text into text.txt; pubkey.txt is required, message.txt will be rewritten.")
|
|
||||||
if(not get_yes_no()):
|
|
||||||
continue
|
|
||||||
try:
|
|
||||||
encrypt(n, k, order, GF)
|
|
||||||
print(ok)
|
|
||||||
except:
|
|
||||||
print(err)
|
|
||||||
elif s == '3':
|
|
||||||
print("You need message.txt, privkey_s.txt and privkey_p.txt; text.txt will be rewritten.")
|
|
||||||
if(not get_yes_no()):
|
|
||||||
continue
|
|
||||||
try:
|
|
||||||
decrypt(n, k, GF, rs)
|
|
||||||
print(ok)
|
|
||||||
except:
|
|
||||||
print(err)
|
|
||||||
elif s == '4':
|
|
||||||
print("You need privkey_s.txt and privkey_p.txt; pubkey.txt will be rewritten.")
|
|
||||||
if(not get_yes_no()):
|
|
||||||
continue
|
|
||||||
try:
|
|
||||||
restore_G_(n, k, GF, rs)
|
|
||||||
print(ok)
|
|
||||||
except:
|
|
||||||
print(err)
|
|
||||||
elif s == '5':
|
|
||||||
print("You need pubkey.txt and privkey_p.txt; privkey_s.txt will be rewritten.")
|
|
||||||
if(not get_yes_no()):
|
|
||||||
continue
|
|
||||||
try:
|
|
||||||
break_S(n, k, GF)
|
|
||||||
print(ok)
|
|
||||||
except:
|
|
||||||
print(err)
|
|
||||||
elif s == '6':
|
|
||||||
print("You need pubkey.txt and privkey_s.txt; privkey_p.txt will be rewritten.")
|
|
||||||
if(not get_yes_no()):
|
|
||||||
continue
|
|
||||||
try:
|
|
||||||
break_P(n, k, GF, rs)
|
|
||||||
print(ok)
|
|
||||||
except:
|
|
||||||
print(err)
|
|
||||||
elif s == '1337':
|
|
||||||
c = input("Move the soldering iron into the black hole number: ")
|
|
||||||
try:
|
|
||||||
PT(int(c))
|
|
||||||
except:
|
|
||||||
print("Iron: 'I don't know this hole.'")
|
|
||||||
continue
|
|
||||||
else:
|
|
||||||
print("Impossible behaviour, mistake in source code!\nThe string allowed in the inp array is not bound to the call of any function!")
|
|
||||||
break
|
|
||||||
|
|
||||||
def get_yes_no():
|
|
||||||
s = input("Confirm (0 = go back, 1 = continue): ")
|
|
||||||
while s not in ['0', '1']:
|
|
||||||
s = input("Try again, 0 or 1: ")
|
|
||||||
return int(s)
|
|
||||||
|
|
||||||
def myhash(s, m = 2**61 - 1, p = 257):
|
|
||||||
a = 0
|
|
||||||
for i in range(len(s)):
|
|
||||||
a = ((a * p) % m + ord(s[i])) % m
|
|
||||||
return a
|
|
||||||
|
|
||||||
def PT(m):
|
|
||||||
M = 5
|
|
||||||
if m == 0:
|
|
||||||
print("Iron: 'OK, I will choose the number by myself.'")
|
|
||||||
while m == 0:
|
|
||||||
m = random.randint(-M, M)
|
|
||||||
s = "PT!"
|
|
||||||
p = " "
|
|
||||||
f = False
|
|
||||||
if m < 0:
|
|
||||||
s, p = p, s
|
|
||||||
m *= -1
|
|
||||||
f = True
|
|
||||||
if m > M:
|
|
||||||
print("Iron: 'Are you sure to move me so far?'")
|
|
||||||
if(not get_yes_no()):
|
|
||||||
return
|
|
||||||
print()
|
|
||||||
if f:
|
|
||||||
print(p * (10 * m + 1))
|
|
||||||
print(p + (s * 3 + p + s * 3 + p + s + p) * m)
|
|
||||||
print(p + (s + p + s + p * 2 + s + p * 2 + s + p) * m)
|
|
||||||
print(p + (s * 3 + p * 2 + s + p * 2 + s + p) * m)
|
|
||||||
print(p + (s + p * 4 + s + p * 4) * m)
|
|
||||||
print(p + (s + p * 4 + s + p * 2 + s + p) * m)
|
|
||||||
if f:
|
|
||||||
print(p * (10 * m + 1))
|
|
||||||
print()
|
|
||||||
|
|
||||||
def generate(n, k, GF, rs):
|
|
||||||
S = generate_S(k, GF)
|
|
||||||
G = rs.G
|
|
||||||
P, p = generate_P(n, GF)
|
|
||||||
G_ = S @ G @ P
|
|
||||||
write_pubkey(G_)
|
|
||||||
write_privkey_s(S)
|
|
||||||
write_privkey_p(p)
|
|
||||||
|
|
||||||
def generate_S(k, GF):
|
|
||||||
S = GF.Random((k, k))
|
|
||||||
while np.linalg.det(S) == 0:
|
|
||||||
S = GF.Random((k, k))
|
|
||||||
return S
|
|
||||||
|
|
||||||
def generate_P(n, GF):
|
|
||||||
r = [i for i in range(n)]
|
|
||||||
p = []
|
|
||||||
for i in range(n):
|
|
||||||
p.append(r.pop(random.randint(0, n - 1 - i)))
|
|
||||||
P = GF.Zeros((n, n))
|
|
||||||
for i in range(n):
|
|
||||||
P[i, p[i]] = 1
|
|
||||||
return P, p
|
|
||||||
|
|
||||||
def write_pubkey(G_):
|
|
||||||
rows = [bytes(row) for row in G_]
|
|
||||||
output = "".join([base64.b64encode(row).decode() for row in rows])
|
|
||||||
with open("pubkey.txt", "w") as f:
|
|
||||||
f.write(output)
|
|
||||||
|
|
||||||
def write_privkey_s(S):
|
|
||||||
rows = [bytes(row) for row in S]
|
|
||||||
output = "".join([base64.b64encode(row).decode() for row in rows])
|
|
||||||
with open("privkey_s.txt", "w") as f:
|
|
||||||
f.write(output)
|
|
||||||
|
|
||||||
def write_privkey_p(p):
|
|
||||||
output = base64.b64encode(bytes(p)).decode()
|
|
||||||
with open("privkey_p.txt", "w") as f:
|
|
||||||
f.write(output)
|
|
||||||
|
|
||||||
def read_pubkey(n, k):
|
|
||||||
with open("pubkey.txt", "r") as f:
|
|
||||||
out = f.read()
|
|
||||||
out = [int(i) for i in base64.b64decode(out)]
|
|
||||||
out = [out[i - n : i] for i in range(n, n * k + n, n)]
|
|
||||||
return out
|
|
||||||
|
|
||||||
def read_privkey_s(k):
|
|
||||||
with open("privkey_s.txt", "r") as f:
|
|
||||||
out = f.read()
|
|
||||||
out = [int(i) for i in base64.b64decode(out)]
|
|
||||||
out = [out[i - k : i] for i in range(k, k * k + k, k)]
|
|
||||||
return out
|
|
||||||
|
|
||||||
def read_privkey_p():
|
|
||||||
with open("privkey_p.txt", "r") as f:
|
|
||||||
out = f.read()
|
|
||||||
return [int(i) for i in base64.b64decode(out)]
|
|
||||||
|
|
||||||
def build_P(n, GF, p):
|
|
||||||
P = GF.Zeros((n, n))
|
|
||||||
for i in range(n):
|
|
||||||
P[i, p[i]] = 1
|
|
||||||
return P
|
|
||||||
|
|
||||||
def build_P_inv(n, GF, p):
|
|
||||||
P = GF.Zeros((n, n))
|
|
||||||
for i in range(n):
|
|
||||||
P[p[i], i] = 1
|
|
||||||
return P
|
|
||||||
|
|
||||||
def pad_message(msg: bytes, pad_size: int) -> list[int]:
|
|
||||||
padding = pad_size - (len(msg) % pad_size)
|
|
||||||
return list(msg + padding.to_bytes() * padding)
|
|
||||||
|
|
||||||
def unpad_message(msg):
|
|
||||||
padding_byte = msg[-1]
|
|
||||||
for i in range(1, padding_byte + 1):
|
|
||||||
if msg[-i] != padding_byte:
|
|
||||||
print("Wrong privkey!")
|
|
||||||
raise Exception()
|
|
||||||
return msg[: -padding_byte]
|
|
||||||
|
|
||||||
def encrypt(n, k, order, GF):
|
|
||||||
G_ = GF(read_pubkey(n, k))
|
|
||||||
with open("text.txt", "r") as f:
|
|
||||||
text = f.read()
|
|
||||||
text = text.encode()
|
|
||||||
out = ""
|
|
||||||
while len(text) > k - 1:
|
|
||||||
tmp = text[: k - 1]
|
|
||||||
text = text[k - 1 :]
|
|
||||||
out += encrypt_one(n, k, order, GF, G_, tmp)
|
|
||||||
out += encrypt_one(n, k, order, GF, G_, text)
|
|
||||||
with open("message.txt", "w") as f:
|
|
||||||
f.write(out)
|
|
||||||
|
|
||||||
def encrypt_one(n, k, order, GF, G_, text):
|
|
||||||
msg = pad_message(text, k)
|
|
||||||
m = GF(msg)
|
|
||||||
c = m.T @ G_
|
|
||||||
t = (n - k) // 2
|
|
||||||
z = np.zeros(n, dtype = int)
|
|
||||||
p = [i for i in range(n)]
|
|
||||||
for i in range(t):
|
|
||||||
ind = p.pop(random.randint(0, n - 1 - i))
|
|
||||||
z[ind] += random.randint(1, order - 1)
|
|
||||||
z[ind] %= order
|
|
||||||
c = c + GF(z)
|
|
||||||
return base64.b64encode(bytes(c)).decode()
|
|
||||||
|
|
||||||
def decrypt(n, k, GF, rs):
|
|
||||||
S_inv = np.linalg.inv(GF(read_privkey_s(k)))
|
|
||||||
P_inv = GF(build_P_inv(n, GF, read_privkey_p()))
|
|
||||||
with open("message.txt", "r") as f:
|
|
||||||
msg = f.read()
|
|
||||||
msg = [int(i) for i in base64.b64decode(msg)]
|
|
||||||
msg = [msg[i - n : i] for i in range(n, len(msg) + n, n)]
|
|
||||||
msg = [decrypt_one(rs, S_inv, P_inv, GF(i)) for i in msg]
|
|
||||||
msg = [i for j in msg for i in j]
|
|
||||||
msg = bytes(msg).decode()
|
|
||||||
with open("text.txt", "w") as f:
|
|
||||||
f.write(msg)
|
|
||||||
|
|
||||||
def decrypt_one(rs, S_inv, P_inv, msg):
|
|
||||||
msg = msg @ P_inv
|
|
||||||
msg, e = rs.decode(msg, errors = True)
|
|
||||||
if e == -1:
|
|
||||||
print("Too many erroneous values in message!")
|
|
||||||
raise Exception()
|
|
||||||
msg = msg @ S_inv
|
|
||||||
msg = [int(i) for i in msg]
|
|
||||||
msg = unpad_message(msg)
|
|
||||||
return msg
|
|
||||||
|
|
||||||
def restore_G_(n, k, GF, rs):
|
|
||||||
S = GF(read_privkey_s(k))
|
|
||||||
G = rs.G
|
|
||||||
P = GF(build_P(n, GF, read_privkey_p()))
|
|
||||||
G_ = S @ G @ P
|
|
||||||
write_pubkey(G_)
|
|
||||||
|
|
||||||
def break_S(n, k, GF):
|
|
||||||
G_ = GF(read_pubkey(n, k))
|
|
||||||
P_inv = GF(build_P_inv(n, GF, read_privkey_p()))
|
|
||||||
S = G_ @ P_inv
|
|
||||||
S = S[:, : k]
|
|
||||||
write_privkey_s(S)
|
|
||||||
|
|
||||||
def break_P(n, k, GF, rs):
|
|
||||||
G_ = GF(read_pubkey(n, k))
|
|
||||||
S_inv = np.linalg.inv(GF(read_privkey_s(k)))
|
|
||||||
G = rs.G
|
|
||||||
G = G.T
|
|
||||||
G = [[int(i) for i in j] for j in G]
|
|
||||||
GP = S_inv @ G_
|
|
||||||
GP = GP.T
|
|
||||||
GP = [[int(i) for i in j] for j in GP]
|
|
||||||
p = [0 for i in range(n)]
|
|
||||||
f = False
|
|
||||||
for i in range(n):
|
|
||||||
f = False
|
|
||||||
for j in range(n):
|
|
||||||
if G[i] == GP[j]:
|
|
||||||
p[i] = j
|
|
||||||
f = True
|
|
||||||
break
|
|
||||||
if f:
|
|
||||||
continue
|
|
||||||
print("Wrong pubkey and privkey_s combination!")
|
|
||||||
raise Exception()
|
|
||||||
write_privkey_p(p)
|
|
||||||
|
|
||||||
if __name__ == "__main__":
|
|
||||||
main()
|
|
||||||
@ -1,21 +1,13 @@
|
|||||||
McEliece cryptosystem implementation by vovuas2003
|
McEliece cryptosystem implementation by vovuas2003
|
||||||
|
|
||||||
Update: portable version is available! All functions in one file. New features and some improvements!
|
Required Python libraries: numpy, galois.
|
||||||
Update 2: portable_v2 is available! Nice keys and message saving in base64 string format, so it is easy to integrate with other projects by a small change of read and write functions.
|
|
||||||
|
|
||||||
Instruction for old version below
|
All cryptosystem functions are implemented in cryptosystem_core.py, just import it into your project and enjoy!
|
||||||
Usage:
|
For example, I coded a console menu (that works with txt files) and a GUI app.
|
||||||
0. pip install numpy and galois
|
|
||||||
1. generate.py - generate and save public and private keys
|
|
||||||
2. send pubkey.py and encode.py to your friend
|
|
||||||
3. your friend runs encode.py, write secret string and send message.py to you
|
|
||||||
4. decode.py - get secret string
|
|
||||||
|
|
||||||
Hacker can get your private key if he will know a half of it (and pubkey.py, decode.py and Reed-Solomon algo).
|
It is possible to build portable exe with pyinstaller and run code on a computer that does not have Python installed.
|
||||||
Check break.py to understand how hacker can do this.
|
But it is NOT compilation, so exe file will be quite large.
|
||||||
|
|
||||||
todo:
|
The pdf presentation in Russian contains a bit of theory about the Mceliece cryptosystem.
|
||||||
0. DONE!(in portable versions) build portable exe with pyinstaller
|
icon.ico is an optional file for pyinstaller
|
||||||
1. left part of G is E, because we use Reed-Solomon algo; so left part of S @ G is S and cutting right colomns works; my_fix(G) returns E and in break_S we needn't get inv(G), just S = my_fix(G_ @ inv(P)); try break_S with another (not Reed-Solomon) code (matrix G will be different; will my_fix(G) and my_fix(G_) return nonsingular matrices?; of course, rank(G) = rank(G_) = k and we can iterate through all possible combinations of column deletions and find one that does not lead to nonsingular matrices); another way to get S is calculating it row by row (solving k systems, each has n equations with k variables, k < n, but we need to do it in Galois Field)
|
old_portable.py can support another order of galois field, but saves raw integers and does not specify utf-8 encoding for strings and txt files
|
||||||
2. DONE! check randomization during encode (add vector z, check https://en.wikipedia.org/wiki/McEliece_cryptosystem)
|
|
||||||
3. DONE!(Russian language) make presentation that explains McEliece cryptosystem
|
|
||||||
Loading…
Reference in New Issue