Question: Could this be explained in detail showing all working out and presented clearly. Thank you. (2) This exercise is about the DiieHellman exchange protocol. Alice

Could this be explained in detail showing all working out and presented clearly. Thank you.

Could this be explained in detail showing all
(2) This exercise is about the DiieHellman exchange protocol. Alice and Bob agrees to use the public prime p = 1051 and the public primitive root or = 7. Alice also chooses a secret random number I. = 113. And Bob chooses a secret random number y = 53. {a} Describe what information Alice and Bob send each other. Justify your an swer. {b} Determine the shared secret that each obtains. {c} Suppose that Eve witnesses this entire exchange, the information that Alice sent to Bob, the information that Bob sent to Alice, and the public informa. tion of this exchange. That is._ Eve hasp : 1051,11 = 'F, 0,1- {mod 1D51} : 7113 (mod 11351], and or!" (mod 1051] = 753 {mod 1051]. Eve cannot compute dis crete logarithms directly, but she is able to compute modular exponentiation with positive exponents only. Describe how she can obtain Alice's and Bobis shared secret, namely or\" (mod 1051]; this involves solving the necessary equations that Eve should solve

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