English

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

Algebraic Geometry 2018-07-12 v1

Abstract

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 Fqn\mathbb{F}_{q^n} to Fq\mathbb{F}_q.

Keywords

Cite

@article{arxiv.1807.04092,
  title  = {Explicit Maximal and Minimal Curves of Artin-Schreier Type from Quadratic Forms},
  author = {Daniele Bartoli and Luciane Quoos and Zülfükar Saygı and Emrah Sercan Yılmaz},
  journal= {arXiv preprint arXiv:1807.04092},
  year   = {2018}
}