Let's say that Alice and Bob are exchanging keys using Diffie-Hellman key exchange using multiplicative group Z*401 and generator g=17. Let's say that Alice chooses secret exponent x=231 and receives the number 99 from Bob. What number should Alice send to Bob?____ What number do Alice and Bob compute as their shared secret?_____

Alice and Bob use the Diffie-Hellman key exchange technique with a common prime q=41and a primitive root α=2 . a) If Alice has private key XA =3,what is Alice’s public key? b) If Bob has private key XB = 7 ,what is Bob’s public key? c) What is the shared secret key?

Alice and Bob agree to use the prime p = 1373 and the base g = 2 for a Diffie–Hellman key exchange. Alice sends Bob the value A = 974. Bob asks your assistance, so you tell him to use the secret exponent b = 871. What value B should Bob send to Alice, and what is their secret shared value? Can you figure out Alice’s secret exponent?

Alice and Bob want to use Diffie-Hellman Key Establishment to share a key and they have agreed to use the prime number p=97 as their modulus. They have to choose their g from the following list of numbers, none which are unfortunately primitive roots: 6, 9, 18Sort these numbers in the order of suitability, putting the most suitable on the left. Select one: a. 18, 6, 9 b. 9, 18, 6 c. 18, 9, 6 d. 6, 18, 9 e. 9, 6, 18