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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…