Question: Alice and Bob has designed a public key cryptosystem based on the ElGamal. Bob has chosen the prime p = 113 and the primitive root

Alice and Bob has designed a public key cryptosystem based on the ElGamal.

Bob has chosen the prime p = 113 and the primitive root = 6. Bobs private key is an integer b = 70 such that b 18 (mod p). Bob publishes the triple (p, , ).

Before choosing k = 30, Alice was thinking of choosing k = 32. Do you think that Alice should have chosen k = 32? Give an answer and justify it.

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