On the Number of Quadratic Forms Having Codimension 2 Radicals in Characteristic 2 Giving Maximal/Minimal Curves

DOI10.1080/00927872.2013.795577zbMath1296.11080OpenAlexW2000428260MaRDI QIDQ2876245

Zülfükar Saygı, Ferruh Özbudak

Publication date: 18 August 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2013.795577

zbMATH Keywords

quadratic formArtin-Schreier type curvemaximal/minimal curve

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Quadratic forms over local rings and fields (11E08)

Related Items (2)

Explicit maximal and minimal curves over finite fields of odd characteristics ⋮ Explicit maximal and minimal curves of Artin-Schreier type from quadratic forms

Cites Work

• Cross-correlations of geometric sequences in characteristic two
• Highly degenerate quadratic forms over finite fields of characteristic 2
• Highly degenerate quadratic forms over \(\mathbb F_{2}\)
• Algebraic Function Fields and Codes

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