Weierstrass Semigroup and Pure Gaps at several points on the $GK$ curve

Alonso S. Castellanos; Guilherme Tizziotti

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arXiv · 1705.05814

Weierstrass Semigroup and Pure Gaps at several points on the $GK$ curve

Alonso S. Castellanos·Guilherme Tizziotti

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Abstract

We determine the Weierstrass semigroup $H(P_{\infty}, P_{1}, \ldots , P_{m})$ at several points on the $GK$ curve. In addition, we present conditions to find pure gaps on the set of gaps $G(P_{\infty}, P_{1}, \ldots , P_{m})$. Finally, we apply the results to obtain AG codes with good relative parameters.

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BibTeX RIS

Alonso S. Castellanos, Guilherme Tizziotti. 2017-05-16. Weierstrass Semigroup and Pure Gaps at several points on the $GK$ curve. https://arxiv.org/abs/1705.05814

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