Question: Consider a Diffie-Hellman scheme with a common prime (q=11) and a primitive root (alpha=2). a. Show that 2 is a primitive root of 11 .

Consider a Diffie-Hellman scheme with a common prime \(q=11\) and a primitive root \(\alpha=2\).

a. Show that 2 is a primitive root of 11 .

b. If user A has public key \(Y_{A}=9\), what is A's private key \(X_{A}\) ?

c. If user B has public key \(Y_{B}=3\), what is the secret key \(K\) shared with \(\mathrm{A}\) ?

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