One-Point AG Codes on the GK Maximal Curves

被引：24

作者：

Fanali, Stefania ^{[1
]}

Giulietti, Massimo ^{[2
]}

机构：

[1] Univ Basilicata, Dipartimento Matemat & Informat, I-85100 Potenza, Italy

[2] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2010年 / 56卷 / 01期

关键词：

Algebraic-geometric (AG) codes; Giulietti-Korchmaros (GK) curve; maximal curves; one-point codes; Weierstrass semigroup; PARAMETERS;

D O I：

10.1109/TIT.2009.2034826

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, algebraic-geometric (AG) codes associated to a recently discovered class of maximal curves are investigated. As a result, some linear codes with better parameters with respect to the previously known ones are discovered, and 70 improvements on MinT's tables ("Tables of optimal parameters for linear codes,'' University of Salzburg, Salzburg, Austria) are obtained.

引用

页码：202 / 210

页数：9

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