We improve previously known lower bounds for the minimum distance of certain two-point AG codes constructed using a Generalized Giulietti-Korchmaros curve (GGK). Castellanos and Tizziotti recently described such bounds for two-point codes coming from the Giulietti-Korchmaros curve. Our results completely cover and in many cases improve on their results, using different techniques, while also supporting any GGK curve. Our method builds on the order bound for AG codes: To enable this, we study certain Weierstrass semigroups. This allows an efficient algorithm for computing our improved bounds. We find several new improvements upon the MinT minimum distance tables. © 1963-2012 IEEE.

Mrinmoy Datta

Department of Mathematics

E. Barelli

P. Beelen

V. Neiger

J. Rosenkilde

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IEEE Transactions on Information Theory

Two-point codes for the generalized GK curve

Journal	Data powered by TypesetIEEE Transactions on Information Theory
Publisher	Data powered by TypesetInstitute of Electrical and Electronics Engineers Inc.
ISSN	00189448