Suppose you have a value (g = 23) in the field F79. Is g a primitive root (do not compute all powers of g) and determine the order of g-36? (do not compute any powers of g or inverses) Finally using the Diffie-Hellman steps, determine gab in the same finite field knowing that ga is 18 and gb is 72. Use logarithms such as computing a = logg(18) or compute b = logg(72).

Suppose you have a value (g = 23) in the field F79. Is g a primitive root (do not compute all powers of g) and determine the order of g-36? (do not compute any powers of g or inverses) Finally using the Diffie-Hellman steps, determine gab in the same finite field knowing that ga is 18 and gb is 72. Use logarithms such as computing a = logg(18) or compute b = logg(72).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 69E

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