Two-Point Codes for the Generalized GK Curve - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2017

Two-Point Codes for the Generalized GK Curve

Résumé

In this article we investigate AG codes constructed using the generalized Giulietti-Korchmaros curve. More precisely we consider two-point codes coming from this curve. A special case was considered in [5], where two-point codes coming from the Giulietti-Korchmaros curve were studied. However, even in this special case, our results improve upon what is currently known. Our method builds on the order bound for AG codes, which is why we study several Weierstrass semigroups before stating our results on two-point codes. We find several further improvements upon the MinT tables.

Domaines

Théorie de l'information [cs.IT]
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Vincent Neiger  : Connectez-vous pour contacter le contributeur

https://hal.science/hal-01535513

Soumis le : vendredi 9 juin 2017-16:31:46

Dernière modification le : mercredi 4 décembre 2024-14:44:02

Archivage à long terme le : dimanche 10 septembre 2017-12:40:54

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Dates et versions

hal-01535513 , version 1 (09-06-2017)
hal-01535513 , version 2 (07-10-2017)

Identifiants

  • HAL Id : hal-01535513 , version 1

Citer

Elise Barelli, Peter Beelen, Mrinmoy Datta, Vincent Neiger, Johan Rosenkilde. Two-Point Codes for the Generalized GK Curve. 2017. ⟨hal-01535513v1⟩

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