On sesquilinear forms over finite fields

Finite Fields and Their Applications 2026 Open access

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Authors: Ruikai Chen
DOI: 10.1016/j.ffa.2026.102833
Cited by: 0

Abstract

We develop a theory of sesquilinear forms over finite fields, investigating their representations via polynomials and coefficient matrices, along with classification results for these forms. Through their connection to quadratic forms, we calculate certain character sums to resolve enumeration problems for equations defined by sesquilinear forms. This provides a characterization of a class of maximal or minimal Artin-Schreier curves with explicit examples.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Coding theory and cryptography Analytic Number Theory Research

Publication details

Journal / source
Finite Fields and Their Applications
Volume
113
Pages
102833–102833
Publication date
14 April 2026
Language
EN