Information Security

Q1. Alice and Bob use the Diffie-Hellman key exchange technique with a common prime q= 163 and a primitive root a=11. A. If Alice has a private key XA=15, find her public key YA. B. If Bob has a private key XB=27, find his public key YB. C. What is the shared secret key between Alice and Bob? Q2. Alice and Bob use the Diffie-Hellman key exchange technique with a common prime q= 157 and a primitive roota=5. A. If Bob has a public key YB=10, what is Bob's private key YB ? B. If Alice has a public key YA=8, what is the shared key K with Bob? C. Show that 5 is a primitive root of 23