On the spectrum for the genera of maximal curves over small fields

Nazar Arakelian; Saeed Tafazolian; Fernando Torres

On the spectrum for the genera of maximal curves over small fields

Algebraic Geometry 2016-09-16 v1 Number Theory

Authors: Nazar Arakelian , Saeed Tafazolian , Fernando Torres

Abstract

Motivated by previous computations in Garcia, Stichtenoth and Xing (2000) paper ,we discuss the spectrum $\mathbf{M}(q^2)$ for the genera of maximal curves over finite fields of order $q^2$ with $7\leq q\leq 16$ . In particular, by using a result in Kudo and Harashita(2016) paper, the set $\mathbf{M}(7^2)$ is completely determined.

Keywords

maximal curves finite fields genus spectrum algebraic curves over finite fields Weil bound

Cite

@article{arxiv.1609.04797,
  title  = {On the spectrum for the genera of maximal curves over small fields},
  author = {Nazar Arakelian and Saeed Tafazolian and Fernando Torres},
  journal= {arXiv preprint arXiv:1609.04797},
  year   = {2016}
}

On the spectrum for the genera of maximal curves over small fields

Abstract

Keywords

Cite

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