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

2017/05/16 by Castellanos, Alonso S., Tizziotti, Guilherme · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.05814

Abstract

We determine the Weierstrass semigroup H(P_∞, P₁, … , 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_∞, P₁, … , P_m). Finally, we apply the results to obtain AG codes with good relative parameters.

Cited by

• Non-isomorphic subfields of the BM and GGS maximal function fields
• Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions

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