@article{10902/35837,
year = {2025},
month = {3},
url = {https://hdl.handle.net/10902/35837},
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},
organization = {Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature},
publisher = {Springer},
publisher = {Afrika Matematika, 2025, 36(1), 45},
title = {Permutation and local permutation polynomials of maximum degree},
author = {Gutiérrez Gutiérrez, Jaime and Jiménez Urroz, Jorge},
}