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
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
收藏
页码:79 / 104
页数:26
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