Weierstrass Semigroup and Pure Gaps at several points on the GK curve
Abstract
We determine the Weierstrass semigroup H(P∞, P1, … , Pm) at several points on the GK curve. In addition, we present conditions to find pure gaps on the set of gaps G(P∞, P1, … , Pm). Finally, we apply the results to obtain AG codes with good relative parameters.
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