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37 changes: 22 additions & 15 deletions ciphers/diffie.py
Original file line number Diff line number Diff line change
Expand Up @@ -2,6 +2,25 @@


def find_primitive(n: int) -> int | None:
"""
Find a primitive root modulo n, if one exists.

Args:
n (int): The modulus for which to find a primitive root.

Returns:
int | None: The primitive root if one exists, or None if there is none.

Examples:
>>> find_primitive(7) # Modulo 7 has primitive root 3
3

>>> find_primitive(11) # Modulo 11 has primitive root 2
2

>>> find_primitive(8) # Modulo 8 has no primitive root

"""
for r in range(1, n):
li = []
for x in range(n - 1):
Expand All @@ -15,18 +34,6 @@ def find_primitive(n: int) -> int | None:


if __name__ == "__main__":
q = int(input("Enter a prime number q: "))
a = find_primitive(q)
if a is None:
print(f"Cannot find the primitive for the value: {a!r}")
else:
a_private = int(input("Enter private key of A: "))
a_public = pow(a, a_private, q)
b_private = int(input("Enter private key of B: "))
b_public = pow(a, b_private, q)

a_secret = pow(b_public, a_private, q)
b_secret = pow(a_public, b_private, q)

print("The key value generated by A is: ", a_secret)
print("The key value generated by B is: ", b_secret)
import doctest

doctest.testmod()