QUESTION 4 (20 marks) (a) Proof either 4 or 6, is/are the primitive root of 13 by constructing a complete primitive root table for those number only. Based on the constructed table, justify your answer. (5 marks) (b) Keys are not actually exchanged in DHKE they are jointly derived." Explain clearly the steps taken to jointly derive the cryptography key in Diffie Hellman Key Exchange (DHKE). Consider the value of g = 8, p= 11, private key for sender is 2 and private key for receiver is 3. By using the cryptography key in Diffie Hellman Key Exchange (DHKE), explain the steps and show all your workings clearly to generate the: i) R1 and R2 (8 marks) ii) and the symmetric key, K. (7 marks) 3