10.4 This problem illustrates the point that the Diffie-Hellman protocol is not secure without the step where you take the modulus; i.e. the "Indiscrete Log Problem" is not a hard problem! You are Eve, and have captured Alice and Bob and imprisoned them. You overhear the following dialog. Bob: Oh, let"s not bother with the prime in the Diffie-Hellman protocol, it will make things easier. Alice: Okay, but we still need a base to raise things to. How about g = 3? Bob: All right, then my result is 27. Alice: And mine is 243. What is Bob"s secret XB and Alice"s secret XA? What is their secret combined key? (Don"t forget to show your work.) | |
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