@article{10902/36810,
year = {2025},
month = {3},
url = {https://hdl.handle.net/10902/36810},
abstract = {Let q be a power of a prime p, Fq be the finite field with q elements, and Fq[x1,…,xn] be the ring of polynomials in n variables over Fq. The construction and study of local permutation polynomials of Fq[x1,…,xn] is recently increasing interest among the experts. In this work, we study local permutation polynomials of maximum degree n(q−2) defined over the prime finite field Fp. In particular, we explicitly construct families of such polynomials when p≥5 and n≤p−1; and for any q of the form q=ppr when r≥1 and p≥3.},
organization = {Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.},
publisher = {Universiti Sains Malaysia},
publisher = {Bulletin of the Malaysian mathematical sciences society, 2025, 48(2), 40},
title = {Local permutation polynomials of maximum degree over prime finite fields},
author = {Gutiérrez Gutiérrez, Jaime and Jiménez Urroz, Jorge},
}