Construction of irreducible polynomials using cubic transformation
type: Item
instance of: scholarly article
title: Construction of irreducible polynomials using cubic transformation
zbMATH Open document ID: 0869.11096
DOI: 10.1007/BF01613612
author: Yanyan Li
published in: Applicable Algebra in Engineering, Communication and Computing
publication date: 1996-05-19T00:00:00Z
review text: The author shows that for all finite fields of characteristic \(>3\), there exists a polynomial \(f(x)\) of degree \(n\), each \(n\geq 1\), in \(F_q[X]\) which generates an infinite sequence of irreducible polynomials of degree \(3^in\) by iteration of the transformation \(f(x) \mapsto f(x^3-3x)\).
reviewed by: Arnold Knopfmacher
Mathematics Subject Classification ID: 11T06
zbMATH DE Number: 852849
zbMATH Keywords: finite fields
zbMATH Keywords: infinite sequence of irreducible polynomials
MaRDI profile type: Publication
cites work: On irreducible polynomials of certain types in finite fields
cites work: The explicit construction of irreducible polynomials over finite fields
description: scientific article; zbMATH DE number 852849