Explicit Maximal and Minimal Curves of Artin-Schreier Type from Quadratic Forms

Explicit Maximal and Minimal Curves of Artin-Schreier Type from Quadratic Forms

In this work we present explicit examples of maximal and minimal curves over finite fields in odd characteristic. The curves are of Artin-Schreier type and the construction is closely related to quadratic forms from $\mathbb{F}_{q^n}$ to $\mathbb{F}_q$.

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Hauptverfasser: Bartoli, Daniele, Quoos, Luciane, Saygı, Zülfükar, Yılmaz, Emrah Sercan
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
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Zusammenfassung:In this work we present explicit examples of maximal and minimal curves over finite fields in odd characteristic. The curves are of Artin-Schreier type and the construction is closely related to quadratic forms from $\mathbb{F}_{q^n}$ to $\mathbb{F}_q$.
DOI:10.48550/arxiv.1807.04092