On the weight hierarchy of product codes

被引：4
|
作者：
Martínez-Pérez, C
Willems, W
机构：
[1] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain
[2] Otto Von Guericke Univ, Fak Math, D-39106 Magdeburg, Germany
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2004年 / 33卷 / 02期
关键词：
product code; weight hierarchy; chain condition;
D O I：
10.1023/B:DESI.0000035465.76668.89
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Let V and W be codes and let C = VxW be the product code of V and W. In [ 6] Wei and Yang, conjectured a formula for the generalized Hamming weights of VxW in terms of those of V and W provided that both V and W satisfy the chain condition. Recently the conjecture has been proved by Schaathun [ 4]. In this paper we generalize the formula to a product code with more than two components.
引用
收藏
页码：95 / 108
页数：14
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