PLS NO PLAGIARISM

Let p = 23 and g = 11 be system-wide parameters for the DiffieHellman protocol. (a) Show that if Alice chooses a = 2 and Bob chooses b = 4 then, by following the DiffieHellman protocol, both of them establish the same secret value. (b) What is the largest symmetric key length that Alice and Bob could safely derive directly from this shared secret? (c) Explain how attacker Fred can conduct a man-in-the-middle attack using the value f = 3.