Linear Codes over Fq[u]/(ut)

被引：0

作者：

Alfaro, Ricardo ^{[1
]}

机构：

[1] Univ Michigan, Dept Math, Flint, MI 48502 USA

来源：

GROUPS, ALGEBRAS AND APPLICATIONS | 2011年 / 537卷

关键词：

Linear codes over rings; cyclic; constacyclic codes; self-dual codes; FINITE CHAIN RINGS; SELF-DUAL CODES; CYCLIC CODES; BOUNDS; IMPROVEMENTS; F(2)+UF(2); Z(4); F5;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The study of codes over ring was brought up by the discovery that some good non-linear binary codes were images of linear codes over Z(4). Later, another ring of four elements, F(2) + uF(2) was used to discover some new optimal codes. In this paper we first give a summary of the known properties of codes over F(q)[u]/(u(t)), and then present the construction of some optimal codes using new properties of constacyclic and quasi-cyclic codes over this alphabet.

引用

页码：1 / 11

页数：11

共 23 条

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