Weierstrass Semigroup and Pure Gaps at several points on the $GK$ curve
Algebraic Geometry
2017-05-17 v1
Abstract
We determine the Weierstrass semigroup at several points on the curve. In addition, we present conditions to find pure gaps on the set of gaps . Finally, we apply the results to obtain AG codes with good relative parameters.
Cite
@article{arxiv.1705.05814,
title = {Weierstrass Semigroup and Pure Gaps at several points on the $GK$ curve},
author = {Alonso S. Castellanos and Guilherme Tizziotti},
journal= {arXiv preprint arXiv:1705.05814},
year = {2017}
}