Some Good Cyclic and Quasi-Twisted Z4-Linear Codes

被引：0

作者：

Aydin, Nuh ^{[1
]}

Gulliver, T. Aaron ^{[2
]}

机构：

[1] Kenyon Coll, Dept Math, Gambier, OH 43022 USA

[2] Univ Victoria, Dept Elect & Comp Engn, Victoria, BC V8W 3P6, Canada

来源：

ARS COMBINATORIA | 2011年 / 99卷

关键词：

Codes over Z(4); cyclic codes; quasi-cyclic codes; best-known codes; RATE; 1/P; TERNARY; Z(4);

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For over a decade, there has been considerable research on codes over Z(4) and other rings. In spite of this, no tables or databases exist for codes over Z(4), as is the case with codes over finite fields. The purpose of this work is to contribute to the creation of such a database. We consider cyclic, negacyclic and quasi-twisted (QT) codes over Z(4). Some of these codes have binary images with better parameters than the best-known binary linear codes. We call such codes "good codes". Among these are two codes which improve the bounds on the best-known binary non-linear codes. Tables of best cyclic and QT codes over Z(4) are presented.

引用

页码：503 / 517

页数：15

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