A general approach to permutation polynomials from quadratic forms
We investigate a family of polynomials over finite fields of characteristic 2 related to quadratic forms, and present a general treatment to study permutation properties of those polynomials. By determining some character sums associated with quadratic forms, we explicitly describe several classes of permutation polynomials.
Authors
- Ruikai Chen (ORCID: https://orcid.org/0009-0000-3746-5336)
Institutions
- South China Normal University (CN)
Publication Details
- Journal
- Communications in Algebra
- Published
- 2026-10-26
- DOI
- https://doi.org/10.1080/00927872.2026.2745716
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China