Question: Suppose that Alice and Bob are performing a 6-bit Diffie-Hellman key exchange . They agree upon a small (insecure!) group with g=2 and p=59 (note:

Suppose that Alice and Bob are performing a 6-bit Diffie-Hellman key exchange. They agree upon a small (insecure!) group with g=2 and p=59 (note: this is not a secure group!).

Alice generates a secret value x=8, and sends Bob her public value g^x mod p=20. Bob sends Alice his public value g^y mod p=55. What is the secret key that Alice and Bob will agree upon given these values?

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