Question: Users A and B use the Diffie-Hellman key exchange technique with a common prime (q=71) and a primitive root (alpha=7). a. If user A has

Users A and B use the Diffie-Hellman key exchange technique with a common prime \(q=71\) and a primitive root \(\alpha=7\).

a. If user A has private key \(X_{A}=5\), what is A's public key \(Y_{A}\) ?

b. If user B has private key \(X_{B}=12\), what is B's public key \(Y_{B}\) ?

c. What is the shared secret key?

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