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We determine the Weierstrass semigroup $$H(P_{\infty }, P_{1}, \ldots , P_{m})$$ H ( P ∞ , P 1 , … , P m ) at several points on the GK curve. In addition, we present conditions to find pure gaps on the set of gaps $$G(P_{\infty }, P_{1}, \ldots , P_{m})$$ G ( P ∞ , P 1 , … , P m ) . Finally, we apply the results to obtain AG codes with good relative parameters.
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Nov 25, 2017
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