A general approach to permutation polynomials from quadratic forms

Ruikai Chen

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arXiv · 2506.24012

A general approach to permutation polynomials from quadratic forms

Ruikai Chen

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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.

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Ruikai Chen. 2025-06-30. A general approach to permutation polynomials from quadratic forms. https://arxiv.org/abs/2506.24012

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