English

A note on permutation polynomials over finite fields

Combinatorics 2017-03-10 v1

Abstract

Permutation polynomials over finite fields constitute an active research area and have applications in many areas of science and engineering. In this paper, two conjectures on permutation polynomials proposed recently by Wu and Li [19] are settled. Moreover, a new class of permutation trinomials of the form x+γTrqn/q(xk)x+\gamma \textup{Tr}_{q^n/q}(x^k) is also presented, which generalizes two examples of [10].

Keywords

Cite

@article{arxiv.1703.03158,
  title  = {A note on permutation polynomials over finite fields},
  author = {Jingxue Ma and Gennian Ge},
  journal= {arXiv preprint arXiv:1703.03158},
  year   = {2017}
}
R2 v1 2026-06-22T18:40:36.989Z