Duality for Poset Codes

被引：15
|
作者：
Moura, Allan de Oliveira [1 ]
Firer, Marcelo [1 ]
机构：
[1] Univ Estadual Campinas, IMECC, BR-13083859 Campinas, SP, Brazil
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2010年 / 56卷 / 07期
基金：
巴西圣保罗研究基金会;
关键词：
Chain condition; generalized weight; poset codes; weight duality; weight hierarchy; GENERALIZED HAMMING WEIGHTS; LINEAR CODES;
D O I：
10.1109/TIT.2010.2048464
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, we extend Wei's Duality Theorem, relating the generalized Hamming weight hierarchy of a code to the hierarchy of the dual code, to the scope of codes with poset metrics. As a consequence of this duality theorem, we prove some results concerning discrepancy of codes and chain condition for generalized weights.
引用
收藏
页码：3180 / 3186
页数：7
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