Diffe-hellman algorithm, Alice and Bob use the

Diffe-hellman algorithm

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Alice and Bob use the Diffe-Hellman to agree on a secret key. They select the prime p = 11, and a primitive root mod 11 g = 2. Alice selects a random a = 5 and transmits g^a mod p = 2^5 mod 11 = 10 to Bob. Bob selects random b = 7 and transmits g^b mod p = 2^7 mod 11 = 7 to Allice. What will be the secret key upon which they both are agreed? Show all work.

Reference no: EM1318578

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