Note on Irreducible Polynomials over Finite Field
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Published:2021-01-31
Issue:1
Volume:14
Page:265-267
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ISSN:1307-5543
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Container-title:European Journal of Pure and Applied Mathematics
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language:
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Short-container-title:Eur. J. Pure Appl. Math.
Author:
Chandoul Amara,M. Sibih Alanod
Abstract
In this note we extend an irreducibility criterion of polynomial over finite fields. Weprove the irreducibility of the polynomial P(Y ) = Yn + λn−1Y n−1 + λn−2Y n−2 + · · · + λ1Y + λ0, such that λ0 6= 0, deg λn−2 = 2 deg λn−1 + l > deg λi, for all i 6= n − 2 and odd integer l.
Publisher
New York Business Global LLC
Subject
Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science
Cited by
1 articles.
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1. Note on Irreducible Polynomials over $\mathbb{F}_q[X]$;European Journal of Pure and Applied Mathematics;2024-04-30