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Alice and Bob are using the ElGamal cipher with the parameters \( p = 89 \) and \( \alpha = 3 \).

Suppose Alice is observed sending public ephemeral key \( k_E = 7 \) and Bob sends public key \( \beta = 44 \).

Their private keys are \( i = 81 \) and \( d = 28 \), respectively.

**a)** What is the masking key \( k_M \)?

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**b)** What is the encryption of \( x = 31 \)?

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