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Cail Eve lind the secretumbers? 10.4 This problem illustrates the point that the Diffie-Helmman protocol is mot secure without the step where you take the

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Cail Eve lind the secretumbers? 10.4 This problem illustrates the point that the Diffie-Helmman protocol is mot secure without the step where you take the modulus; ie. 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 wil make things easier. Okay, but we still need a base All right, then my result is 27 And mine is 243. a to raise things to. How about a 3 Alice: Bob: Alice: What is Bob's private key X and Alice's private key XA? What is their secret com- bined key? (Don't forget to show your work.)

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