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math.NT2025
A general approach to permutation polynomials from quadratic forms
Ruikai Chen
We investigate a family of polynomials over finite fields of characteristic related to quadratic forms, and present a general treatment to study permutation properties of those…
math.NT2025
On sesquilinear forms over finite fields
Ruikai Chen
We develop a theory of sesquilinear forms over finite fields, investigating their representations via polynomials and coefficient matrices, along with classification results for th…
math.NT2024
Classification of quadratic forms over finite fields with maximal and minimal Artin-Schreier curves
Ruikai Chen
This paper explores quadratic forms over finite fields with associated Artin-Schreier curves. Specifically, we investigate quadratic forms of represen…