Complete arcs arising from a generalization of the Hermitian curve
Algebraic Geometry
2014-01-16 v1
Abstract
We investigate complete arcs of degree greater than two, in projective planes over finite fields, arising from the set of rational points of a generalization of the Hermitian curve. The degree of the arcs is closely related to the number of rational points of a class of Artin-Schreier curves which is calculated by using exponential sums via Coulter's approach. We also single out some examples of maximal curves.
Keywords
Cite
@article{arxiv.1401.3702,
title = {Complete arcs arising from a generalization of the Hermitian curve},
author = {Herivelto Borges and Beatriz Motta and Fernando Torres},
journal= {arXiv preprint arXiv:1401.3702},
year = {2014}
}