Consider an ElGamal scheme with a common prime (q=71) and a primitive root (alpha=7). a. If (mathrm{B})

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Consider an ElGamal scheme with a common prime \(q=71\) and a primitive root \(\alpha=7\).

a. If \(\mathrm{B}\) has public key \(Y_{B}=3\) and \(\mathrm{A}\) chose the random integer \(k=2\), what is the ciphertext of \(M=30\) ?

b. If A now chooses a different value of \(k\) so that the encoding of \(M=30\) is \(C=\left(59, C_{2}ight)\), what is the integer \(C_{2}\) ?

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