Question: Alice and Bob use the Diffie-Hellman key exchange technique with a common prime q= 23 and a primitive root a = 5. a. If

Alice and Bob use the Diffie-Hellman key exchange technique with a common prime q= 23 and a primitive root a = 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.

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