Quadratic forms of codimension 2 over certain finite fields of even characteristic

DOI10.1007/s12095-011-0051-5zbMath1235.11060OpenAlexW2080632738MaRDI QIDQ662189

Ferruh Özbudak, Zülfükar Saygı, Elif Saygı

Publication date: 21 February 2012

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-011-0051-5

zbMATH Keywords

quadratic formmaximal curveArtin-Schreier type curve

Mathematics Subject Classification ID

Rational points (14G05) Curves over finite and local fields (11G20) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (5)

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 ⋮ More on quadratic functions and maximal Artin-Schreier curves ⋮ Explicit maximal and minimal curves of Artin-Schreier type from quadratic forms

Cites Work

• Quadratic forms of codimension 2 over finite fields containing \(\mathbb F_4\) and Artin-Schreier type curves
• Highly degenerate quadratic forms over finite fields of characteristic 2
• Algebraic Function Fields and Codes
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