Weierstrass Semigroup and Pure Gaps at several points on the $GK$ curve
Alonso S. Castellanos, Guilherme Tizziotti · arXiv (Cornell University) · 2017
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.