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Advanced Math 6) Solve the following problem (Hint: Try to use a variation of Diffie-Hellman Exchange) Given: We pick a big prime p and a generator g. - Andy has a secret a E Z/(p – 1)Z. - Boyle has a secret b E Z/(p – 1)Z. - Andy sends g^a to Boyle. Boyle sends g^b to Andy. Solve: (a) Show that a key is indeed exchanged; that is, Andy and Boyle can both compute g - a - b (mod p). (b) Show that this key-exchange is very bad compared to Diffie-Hellman.

Advanced Math 6) Solve the following problem (Hint: Try to use a variation of Diffie-Hellman Exchange) Given: We pick a big prime p and a generator g. - Andy has a secret a E Z/(p – 1)Z. - Boyle has a secret b E Z/(p – 1)Z. - Andy sends g^a to Boyle. Boyle sends g^b to Andy. Solve: (a) Show that a key is indeed exchanged; that is, Andy and Boyle can both compute g - a - b (mod p). (b) Show that this key-exchange is very bad compared to Diffie-Hellman.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Advanced Math 6) Solve the following problem (Hint: Try to use a variation of Diffie-Hellman Exchange) Given: - We pick a big prime p and a generator g. - Andy has a secret a E Z/(p – 1)Z. Boyle has a secret b E Z/(p – 1)Z. - Andy sends g^a to Boyle. Boyle sends g^b to Andy. Solve: (a) Show that a key is indeed exchanged; that is, Andy and Boyle can both compute g - a – b (mod p). (b) Show that this key-exchange is very bad compared to Diffie-Hellman.
Transcribed Image Text:Advanced Math 6) Solve the following problem (Hint: Try to use a variation of Diffie-Hellman Exchange) Given: - We pick a big prime p and a generator g. - Andy has a secret a E Z/(p – 1)Z. Boyle has a secret b E Z/(p – 1)Z. - Andy sends g^a to Boyle. Boyle sends g^b to Andy. Solve: (a) Show that a key is indeed exchanged; that is, Andy and Boyle can both compute g - a – b (mod p). (b) Show that this key-exchange is very bad compared to Diffie-Hellman.
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