Answered: Let a be a primitive element for the…

Let a be a primitive element for the field GF(pn), where p is an oddprime and n is a positive integer. Find the smallest positive integer ksuch that ak = p - 1.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.6: Algebraic Extensions Of A Field

Problem 8E: If is a finite field with elements, and is a polynomial of positive degree over , find a formula...

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Question

Let a be a primitive element for the field GF(pⁿ), where p is an odd
prime and n is a positive integer. Find the smallest positive integer k
such that a^k = p - 1.

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