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(i)Determine the order of 4 (ord(4)) in Z 7. Show your work. (ii If Alice and Bob wish to arrive at a shared key without
(i)Determine the order of 4 (ord(4)) in Z 7. Show your work. (ii If Alice and Bob wish to arrive at a shared key without actually exchanging the key using Diffie Hellman Key exchange, Alice publishes p=7 and -4. Alice chooses a-3 and Bob chooses b-5. Show the exchange of messages between Alice and Bob and the final shared key that they derive Alice chooses a private key of d=3, and sends the Elgamal public key (11,49) to Bob. Bob uses this key to encrypt x 5 and sends it to Alice. Alice decrypts the message and derives x. Show the (iii) message to arrive at x 5. (i)Determine the order of 4 (ord(4)) in Z 7. Show your work. (ii If Alice and Bob wish to arrive at a shared key without actually exchanging the key using Diffie Hellman Key exchange, Alice publishes p=7 and -4. Alice chooses a-3 and Bob chooses b-5. Show the exchange of messages between Alice and Bob and the final shared key that they derive Alice chooses a private key of d=3, and sends the Elgamal public key (11,49) to Bob. Bob uses this key to encrypt x 5 and sends it to Alice. Alice decrypts the message and derives x. Show the (iii) message to arrive at x 5
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