Suppose you have a value (g = 23) in the field F79. Without computing any powers of g or any inverses, please answer the following: Is g a primitive root and determine the order of g-36? Finally using the Diffie-Hellman steps, determine gab in the same finite field knowing that ga is 18 and gb is 72. Use steps such as computing a = logg(18) or you can also compute b = logg(72). For this problem you can compute powers, or inverses

Suppose you have a value (g = 23) in the field F79. Without computing any powers of g or any inverses, please answer the following: Is g a primitive root and determine the order of g-36? Finally using the Diffie-Hellman steps, determine gab in the same finite field knowing that ga is 18 and gb is 72. Use steps such as computing a = logg(18) or you can also compute b = logg(72). For this problem you can compute powers, or inverses

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 92E

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