Partial Permutation Decoding for Abelian Codes

被引：5

作者：

Joaquin Bernal, Jose ^{[1
]}

Jacobo Simon, Juan ^{[1
]}

机构：

[1] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2013年 / 59卷 / 08期

关键词：

Decoding; error correcting codes; DOUBLY PERIODIC ARRAYS; CYCLIC CODES;

D O I：

10.1109/TIT.2013.2259141

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 our earlier work, we introduced a technique to construct an information set for every semisimple Abelian code over an arbitrary field, solely in terms of its defining set. In this paper, we apply the geometrical properties of those information sets to obtain sufficient conditions for a t-error correcting Abelian code to have a b-PD-set for every b <= t. These conditions are simply given in terms of the structure of the defining set of the code.

引用

页码：5152 / 5170

页数：19

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