Question
can somone please explain this code? can you also explain every line in the code (line per line explanation) import random import math # Generates
can somone please explain this code? can you also explain every line in the code (line per line explanation)
import random
import math
# Generates two prime numbers
def generate_primes():
#Generate all prime numbers between 2 and 100
primes = [num for num in range(2, 101) if all(num % i != 0 for i in range(2, int(math.sqrt(num)) + 1))]
return random.sample(primes, 2)
# Selects p and q
p, q = generate_primes()
# Calculates n, the product of p and q
n = p * q
# Calculates phi, the totient of n
phi = (p - 1) * (q - 1)
# Finds a value for e that is relatively prime to phi
def find_e(phi):
for e in range(2, phi):
if math.gcd(e, phi) == 1:
return e
e = find_e(phi)
# Finds a value for d that satisfies the equation (d * e) % phi == 1
def find_d(e, phi):
for d in range(2, phi):
if (e * d) % phi == 1:
return d
d = find_d(e, phi)
# Selects a random integer as the message to be encrypted
msg = random.randint(1, n)
# Encrypts the message using the values for e and n
def encrypt_msg(msg, e, n):
return (msg ** e) % n
e_msg = encrypt_msg(msg, e, n)
# Decrypts the message using the values for d and n
def decrypt_msg(e_msg, d, n):
return (e_msg ** d) % n
d_msg = decrypt_msg(e_msg, d, n)
print(f'[+] p = {p} and q = {q}')
print(f'[+] n = {n} and euler totient = {phi}')
print(f'[+] e = {e}')
print(f'[+] d = {d}')
print(f'[+] msg : {msg}')
print(f'[+] Encrypted msg : {e_msg}')
print(f'[+] Decrypted msg : {d_msg}')
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