A general approach to permutation polynomials from quadratic forms

2025/06/30 by Chen, Ruikai
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2506.24012

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.

Citations

• Permutation polynomials of finite fields of even characteristic from character sums

Related

• Permutation polynomials of finite fields of even characteristic from character sums
• Further results on some classes of permutation polynomials over finite fields
• Permutation Polynomials of Degree 6 or 7 over Finite Fields of Characteristic 2
• Specific permutation polynomials over finite fields
• Two types of permutation polynomials with special forms