Quadratic forms of codimension 2 over finite fields containing \(\mathbb F_4\) and Artin-Schreier type curves

DOI10.1016/j.ffa.2011.09.008zbMath1280.11035OpenAlexW1969699872MaRDI QIDQ765811

Elif Saygı, Zülfükar Saygı, Ferruh Özbudak

Publication date: 22 March 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.09.008

zbMATH Keywords

quadratic formfinite fieldmaximal curveArtin-Schreier curve

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20)

Related Items (7)

Spectra of a class of quadratic functions: average behaviour and counting functions ⋮ Explicit maximal and minimal curves over finite fields of odd characteristics ⋮ Quadratic functions and maximal Artin-Schreier curves ⋮ Zeta functions of quadratic Artin–Schreier curves in characteristic two ⋮ Quadratic forms of codimension 2 over certain finite fields of even characteristic ⋮ More on quadratic functions and maximal Artin-Schreier curves ⋮ Explicit maximal and minimal curves of Artin-Schreier type from quadratic forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the genus of a maximal curve
• Some Artin-Schreier type function fields over finite fields with prescribed genus and number of rational places
• On additive polynomials and certain maximal curves
• On curves covered by the Hermitian curve.
• On maximal curves in characteristic two
• On maximal curves
• Eventually minimal curves
• Highly degenerate quadratic forms over finite fields of characteristic 2
• Artin-Schreier curves and weights of two-dimensional cyclic codes
• Some Maximal Function Fields and Additive Polynomials
• Algebraic Function Fields and Codes
• Certain maximal curves and Cartier operators
• A characterization of Hermitian function fields over finite fields.
• On Certain Subcovers of the Hermitian Curve

This page was built for publication: Quadratic forms of codimension 2 over finite fields containing \(\mathbb F_4\) and Artin-Schreier type curves