(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)