7. Eve (the adversary to Alice and Bob) intercepts the following communication between Alice and Bob: .Alice: Let's use Diffie-Hellman key exchange algorithm to share a secret key . Bob: Ok, let the prime be p and the primitive root (generator) g .Alice: Using your selected parameters my public key is Y . Bob: My publie key is Y . The rest of the communication is encrypted with KAB (a) Explain how Alice and Bob calculate the shared secret key KAB and why the calculated value is the same at both sides? (b) In the above scenario can Eve recover the shared secret key KAB using the captured messages? Explain what stops Eve from recovering the key or how she can calculate the value of the shared secret. (c) What are the security requirements for the the prime number used in Diffic-Hellman key exchange algorithm? 15 Marks