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• Name _________________________ Score: ___ / 14 CPSC 42500 Homework 7 addendum: Diffie-Hellman Key Exchange 1. (2 pts) Give two different ways to simplify the expression (32)4 and show that they are equal. 2. Pretend you are Alice and have agreed with Bob to carry out Diffie-Hellman key exchange with parameters p = 23 and g = 5. You may use a calculator to answer the following, but write down and label all the quantities you use. a. (2 pts) Assume you choose the secret random value x = 19. Compute the value gx (mod p) that you will send to Bob. b. (2 pts) In the protocol, you receive the value gy = 18 from Bob. Compute your shared secret value. c. (4 pts) Now pretend you are an eavesdropping adversary. From g, p and gy, find Bob’s secret y (it’s possible!) d. (4 pts) Describe how you found the value in part (c), and comment on how this reflects the security of Diffie-Hellman key exchange. Page 1 of 1
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