Permutation and local permutation polynomials of maximum degree

Gutiérrez Gutiérrez, Jaime; Jiménez Urroz, Jorge

doi:10.1007/s13370-025-01247-3

dc.contributor.author	Gutiérrez Gutiérrez, Jaime
dc.contributor.author	Jiménez Urroz, Jorge
dc.contributor.other	Universidad de Cantabria	es_ES
dc.date.accessioned	2025-03-03T19:23:17Z
dc.date.available	2025-03-03T19:23:17Z
dc.date.issued	2025-03
dc.identifier.issn	2190-7668
dc.identifier.issn	1012-9405
dc.identifier.uri	https://hdl.handle.net/10902/35837
dc.description.abstract	Let Fq be the finite field with q elements and Fq [x1, . . . , xn] the ring of polynomials in n variables over Fq . In this paper we consider permutation polynomials and local permutation polynomials over Fq [x1, . . . , xn], which define interesting generalizations of permutations over finite fields. We are able to construct permutation polynomials in Fq [x1, . . . , xn] of maximum degree n(q - 1) -1 and local permutation polynomials in Fq [x1, . . . , xn] of maximum degree n(q - 2) when q > 3, extending previous results	es_ES
dc.description.sponsorship	Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature	es_ES
dc.format.extent	11 p.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Springer	es_ES
dc.rights	Attribution 4.0 International	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.source	Afrika Matematika, 2025, 36(1), 45	es_ES
dc.subject.other	Permutation polynomial	es_ES
dc.subject.other	Dickson polynomial	es_ES
dc.subject.other	Local permutation polynomials	es_ES
dc.subject.other	Finite Fields	es_ES
dc.title	Permutation and local permutation polynomials of maximum degree	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.relation.publisherVersion	https://doi.org/10.1007/s13370-025-01247-3	es_ES
dc.rights.accessRights	openAccess	es_ES
dc.identifier.DOI	10.1007/s13370-025-01247-3
dc.type.version	publishedVersion	es_ES