Decoding of linear codes over Galois rings

被引：19

作者：

Babu, NS ^{[1
]}

Zimmermann, KH ^{[1
]}

机构：

[1] Tech Univ Hamburg Harburg, Dept Elect & Comp Engn, D-21071 Hamburg, Germany

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2001年 / 47卷 / 04期

关键词：

decoding algorithms; Galois rings; linear codes; quaternary codes;

D O I：

10.1109/18.923743

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 correspondence, we present a method for decoding an arbitrary linear code over a Galois ring R by a process of lifting decoding algorithms for a family of linear codes over a finite field K: forming an alpha -element chain, where K: is the quotient field of a and a has characteristic p(alpha). As a new result, this method also works for linear codes over R which are nonfree R-modules.

引用

页码：1599 / 1603

页数：5

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