Explicit Maximal and Minimal Curves of Artin-Schreier Type from Quadratic Forms
classification
🧮 math.AG
keywords
curvesartin-schreierexplicitformsmathbbmaximalminimalquadratic
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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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