ProblemLet g(x) = ao + a¡x+V,(GF(q)). Is it possible that.+ an-1x"-! be a monic polynomial over a field GF(q) of least degree in some cyclic subspace ofao= 0?.

Consider the polynomial g(x)=a0+a1x+...+an-1xn-1 which is a monic polynomial over a field GF(q), of…

Answered: Problem Let g(x) = ao + ajx + •…· +…

Problem Let g(x) = ao + ajx + •…· + aŋ-1x"-1 be a monic polynomial over a field GF(q) of least degree in some cyclic subspace of V„(GF(q)). Is it possible that ao = 0?.

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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Question

Problem
Let g(x) = ao + a¡x+
V,(GF(q)). Is it possible that.
+ an-1x"-! be a monic polynomial over a field GF(q) of least degree in some cyclic subspace of
ao
= 0?.

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