On the parameters of algebraic-geometry codes related to Arf semigroups

被引：18

作者：

Campillo, A ^{[1
]}

Farrán, JI

Munuera, C

机构：

[1] Univ Valladolid, Fac Ciencias, Dept Algebra & Geometria, E-47005 Valladolid, Castilla, Spain

[2] Univ Valladolid, ETSII, Dept Matemat Aplicada, E-47011 Valladolid, Castilla, Spain

[3] Univ Valladolid, ETSA, Dept Matemat Aplicada, E-47014 Valladolid, Castilla, Spain

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2000年 / 46卷 / 07期

关键词：

algebraic-geometry codes; Arf semigroups; Feng-Rao (or order) bound; improved geometric Goppa codes; linear codes;

D O I：

10.1109/18.887873

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 correspondence we compute the order (or Feng-Rao) bound on the minimum distance of one-point algebraic-geometry codes C-Omega(P, rho (i)Q), when the Weierstrass semigroup at the point Q is an Arf semigroup. The results developed to that purpose also provide the dimension of the improved geometric Goppa codes related to these C-Omega(P, rho (i)Q).

引用

页码：2634 / 2638

页数：5

共 12 条

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