Question: = In the Diffie-Hellman Key Exchange, let the public keys be p 79, g = 48, and the secret keys be a = 36

= In the Diffie-Hellman Key Exchange, let the public keys be p 79, g = 48, and the secret keys be a = 36 and b = 67, where a is Alice's secret key and b is Bob's secret key. What value does Alice send Bob? What value does Bob send Alice? What is the secret key they share? Use a program or calculator to quickly simplify the modular exponentiations that arise, but show what each calculation is. = In an RSA scheme, p = 47, q = 31 and e 119. What is d? Show the work by hand, but for any complicated calculation, do it on a calculator or use a program. (So, show each step of the Extended Euclidean Algorithm, but feel free to use a calculator to quickly get quotients and remainders.)

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