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, , ).

What should Bob do to decrypt the pair or pairs he received from Alice?

During the computation, make sure Bob does not compute any inverses.

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