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RSA.py
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import tkinter as tk
################################
#P and Q: Prime numbers
#N: Product P * Q
#T: Totient (P - 1) * (Q - 1)
#E: Public Key:
# -must be a prime number
# -must be less than T
# -must not be a factor of T (T mod D != 0)
#D: Private Key:
# -D * E mod T MUST be equal to 1
#
#
#
#
################################
alphdict = {
'A': 0, 'B': 1, 'C': 2, 'D': 3, 'E': 4, 'F': 5, 'G': 6, 'H': 7, 'I': 8, 'J': 9,
'K': 10, 'L': 11, 'M': 12, 'N': 13, 'O': 14, 'P': 15, 'Q': 16, 'R': 17, 'S': 18,
'T': 19, 'U': 20, 'V': 21, 'W': 22, 'X': 23, 'Y': 24, 'Z': 25
}
def PGCD(a, b):
while b:
a, b = b, a % b
return a
def euclidian(m, b):
A1, A2, A3 = 1, 0, m
B1, B2, B3 = 0, 1, b
while True:
if B3 == 0:
A3 = PGCD(m,b)
print("pas divisible")
return A1, A2, A3
elif B3 == 1:
B3 = PGCD(m,b)
return B2
Q = A3 // B3
T1, T2, T3 = (A1 - Q * B1), (A2 - Q * B2), (A3 - Q * B3)
A1, A2, A3 = B1, B2, B3
B1, B2, B3 = T1, T2, T3
def is_prime(number):
if number == 0 or number == 1:
return False
elif number == 2:
return True
else:
for i in range(2, number):
if number % i == 0:
return False
return True
def encrypt(string, E, N):
string = string.upper()
string_len = len(string)
encrypted_string_num = []
for num_letter in range(0, string_len):
letter = string[num_letter]
if letter in alphdict:
letter_num_in_dict_enc = alphdict[letter]
encrypted_letter = pow(letter_num_in_dict_enc, E ) # ,N)
encrypted_string_num.append(encrypted_letter % 26)
encrypted_string = ''.join([list(alphdict.keys())[list(alphdict.values()).index(num)] for num in encrypted_string_num])
return encrypted_string
def decrypt(cipher, D, N):
cipher = cipher.upper()
cipher_len = len(cipher)
decrypted_cipher_num = []
for num_letter in range(0, cipher_len):
letter = cipher[num_letter]
if letter in alphdict:
letter_num_in_dict_dec = alphdict[letter]
encrypted_letter = pow(letter_num_in_dict_dec, D) # ,N)
decrypted_cipher_num.append(encrypted_letter % 26)
decrypted_cipher = ''.join([list(alphdict.keys())[list(alphdict.values()).index(num)] for num in decrypted_cipher_num])
return decrypted_cipher
def Public_Key_gen(P, Q):
N = P * Q
T = (P - 1) * (Q - 1)
E = 0
for number in range(2, T):
if is_prime(number) and T % number != 0 and number < T:
E = number
break
print('E', E)
return E
def Private_Key_gen(E, P, Q):
D = None
T = (P - 1) * (Q - 1)
for number in range(T):
if number * E % T == 1:
D = number
break
print('D', D)
return D
root = tk.Tk()
root.title("RSA Encryption and Decryption")
# Generate Public and Private Keys
frame_keys = tk.Frame(root)
frame_keys.pack(padx=10, pady=10)
label_p = tk.Label(frame_keys, text="Enter prime number P:", font='Cairo')
label_p.grid(row=0, column=0, sticky="w")
entry_p = tk.Entry(frame_keys)
entry_p.grid(row=0, column=1, padx=5, pady=5)
label_q = tk.Label(frame_keys, text="Enter prime number Q:", font='Cairo')
label_q.grid(row=1, column=0, sticky="w")
entry_q = tk.Entry(frame_keys)
entry_q.grid(row=1, column=1, padx=5, pady=5)
label_public_key = tk.Label(frame_keys, text="Public Key (E):", font='Cairo')
label_public_key.grid(row=2, column=0, sticky="w")
label_private_key = tk.Label(frame_keys, text="Private Key (D):", font='Cairo')
label_private_key.grid(row=3, column=0, sticky="w")
def generate_keys():
p = int(entry_p.get())
q = int(entry_q.get())
E = Public_Key_gen(p, q)
D = Private_Key_gen(E, p, q)
print('keygen: ',p, q, E, D)
label_public_key.config(text="Public Key (E): " + str(E))
label_private_key.config(text="Private Key (D): " + str(D))
button_generate_keys = tk.Button(frame_keys, text="Generate Keys", command=generate_keys, font='Cairo')
button_generate_keys.grid(row=2, column=1, rowspan=2, padx=5, pady=5)
# Encryption
frame_encrypt = tk.Frame(root)
frame_encrypt.pack(padx=10, pady=10)
label_message_encrypt = tk.Label(frame_encrypt, text="Enter the message you want to encrypt:", font='Cairo')
label_message_encrypt.grid(row=0, column=0, sticky="w")
entry_message_encrypt = tk.Entry(frame_encrypt)
entry_message_encrypt.grid(row=0, column=1, padx=5, pady=5)
label_public_key_encrypt = tk.Label(frame_encrypt, text="Enter the public key (E):", font='Cairo')
label_public_key_encrypt.grid(row=1, column=0, sticky="w")
entry_public_key_encrypt = tk.Entry(frame_encrypt)
entry_public_key_encrypt.grid(row=1, column=1, padx=5, pady=5)
label_encrypted_message = tk.Label(frame_encrypt, text="Encrypted Message:", font='Cairo')
label_encrypted_message.grid(row=2, columnspan=2)
def encrypt_message():
message = entry_message_encrypt.get()
E = int(entry_public_key_encrypt.get())
N = int(entry_p.get()) * int(entry_q.get())
print('N: ',N)
print('E: ',E)
encrypted_message = encrypt(message, E, N)
label_encrypted_message.config(text="Encrypted Message: " + encrypted_message)
button_encrypt = tk.Button(frame_encrypt, text="Encrypt", command=encrypt_message, font='Cairo')
button_encrypt.grid(row=3, columnspan=2, pady=10)
# Decryption
frame_decrypt = tk.Frame(root)
frame_decrypt.pack(padx=10, pady=10)
label_message_decrypt = tk.Label(frame_decrypt, text="Enter the message you want to decrypt:", font='Cairo')
label_message_decrypt.grid(row=0, column=0, sticky="w")
entry_message_decrypt = tk.Entry(frame_decrypt)
entry_message_decrypt.grid(row=0, column=1, padx=5, pady=5)
label_private_key_decrypt = tk.Label(frame_decrypt, text="Enter the private key (D):", font='Cairo')
label_private_key_decrypt.grid(row=1, column=0, sticky="w")
entry_private_key_decrypt = tk.Entry(frame_decrypt)
entry_private_key_decrypt.grid(row=1, column=1, padx=5, pady=5)
label_decrypted_message = tk.Label(frame_decrypt, text="Decrypted Message:", font='Cairo')
label_decrypted_message.grid(row=2, columnspan=2)
def decrypt_message():
message = entry_message_decrypt.get()
D = int(entry_private_key_decrypt.get())
print("decrypt: ",int(entry_p.get()), int(entry_q.get()) )
N = int(entry_p.get()) * int(entry_q.get())
decrypted_message = decrypt(message, D, N)
label_decrypted_message.config(text="Decrypted Message: " + decrypted_message)
button_decrypt = tk.Button(frame_decrypt, text="Decrypt", command=decrypt_message, font='Cairo')
button_decrypt.grid(row=3, columnspan=2, pady=10)
root.mainloop()