The weight hierarchy of Hermitian codes

被引：34

作者：

Barbero, AI

Munuera, C

机构：

[1] Univ Valladolid, ETS Ingn Ind, Dept Appl Math, E-47005 Valladolid, Castilla, Spain

[2] Univ Valladolid, ETS Arquitectura, Dept Appl Math, Valladolid 47014, Castilla, Spain

来源：

SIAM JOURNAL ON DISCRETE MATHEMATICS | 2000年 / 13卷 / 01期

关键词：

linear codes; generalized Hamming weights; Hermitian codes;

D O I：

10.1137/S089548019834342X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We compute the complete weight hierarchies of all Hermitian codes. The tools used are the arithmetic of Hermitian curves and the order bound on the generalized Hamming weights.

引用

页码：79 / 104

页数：26

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