Comment on: Construction of irreducible polynomials using cube transformation by W. M. Chu
type: Item
instance of: scholarly article
title: Comment on: Construction of irreducible polynomials using cube transformation by W. M. Chu
zbMATH Open document ID: 1036.11525
published in: Applicable Algebra in Engineering, Communication and Computing
publication date: 1997-01-01T00:00:00Z
review text: The author points out that the cubic transformation considered by \textit{W. M. Chu} [Appl. Algebra Eng. Commun. Comput. 7, 15--19 (1996; Zbl 0869.11096)] is the case \(r=3\) of the more general transformation \(f(x)\mapsto f(D_r(x,1))\), where \(D_r\) denotes the familiar Dickson (Chebyshev) polynomial of the first kind. Such constructions of irreducible polynomials relate to ones based on \(f(x)\mapsto f(x^r)\). Further details are given in the author's Erlangen thesis (1993) [Darstellungen des algebraischen Abschlusses endlicher Körper and spur-kompatible Polynomfolgen, Friedrich-Alexander-Univ., Erlangen (1993; Zbl 0866.11071)].
Mathematics Subject Classification ID: 11T06
Mathematics Subject Classification ID: 13M10
zbMATH DE Number: 1038379
author: Alfred Scheerhorn
MaRDI profile type: Publication
full work available at URL: s002000050070
OpenAlex ID: W2006853822
DOI: 10.1007/S002000050070
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description: scientific article; zbMATH DE number 1038379