Corrigendum to ``Enumerating permutation polynomials. I: Permutations with non-maximal degree''
type: Item
instance of: scholarly article
title: Corrigendum to ``Enumerating permutation polynomials. I: Permutations with non-maximal degree''
zbMATH Open document ID: 1122.11084
author: Claudia Malvenuto
author: Francesco Pappalardi
published in: Finite Fields and their Applications
publication date: 2007-02-14T00:00:00Z
review text: In [Finite Fields Appl. 8, No. 4, 531--547 (2002; Zbl 1029.11068)], the authors gave the asymptotic number of permutation polynomials in \(\mathbb{F}_q[x]\) having degree \(<q-2\) and corresponding to permutations of a prescribed cycle type. The statement of Proposition 5.1 is not correct in the case of transpositions, three-cycles, and products of two transpositions. In this paper, the revised version of Proposition 5.1 is given.
reviewed by: Astrid Reifegerste
Mathematics Subject Classification ID: 11T06
zbMATH DE Number: 5126009
zbMATH Keywords: permutation polynomials over finite fields
zbMATH Keywords: non-maximal degree
zbMATH Keywords: cycle type
MaRDI profile type: Publication
full work available at URL: j.ffa.2005.07.005
OpenAlex ID: W2620957207
cites work: Q3216750
DOI: 10.1016/J.FFA.2005.07.005
description: scientific article; zbMATH DE number 5126009