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(a) Using Fermat's theorem, find 3201 mod 11.
(b) Explain how the Diffie-Hellman key agreement protocol works and what its purpose and main properties are.
Consider a Diffie-Hellman scheme with a common prime q = 11 and a primitive root α = 2.
(i) If user A has public key YA = 9, what is A's private key XA?
(ii) If user B has public key YB = 3, what is the shared secret key K, shared with A?
(c) Briefly explain the Output Feedback (OFB) mode of operation stating its advantages, disadvantages and uses.
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- Alice, Bob and Charlie have a secret key a=3, b=4, c=5, in that order. - They would like to find a common secret key using Diffie-Hellan key exchange protocol (with g=2, p=5).
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