A general approach to permutation polynomials from quadratic forms
Number Theory
2025-07-01 v1
Abstract
We investigate a family of permutation polynomials of finite fields of characteristic 2. Through a connection between permutation polynomials and quadratic forms, a general treatment is presented to characterize these permutation polynomials. By determining some character sums associated with quadratic forms, we explicitly describe several classes of permutation polynomials.
Cite
@article{arxiv.2506.24012,
title = {A general approach to permutation polynomials from quadratic forms},
author = {Ruikai Chen},
journal= {arXiv preprint arXiv:2506.24012},
year = {2025}
}