New quasi-cyclic codes from simplex codes

被引：16
|
作者：
Chen, Eric Z. [1 ]
机构：
[1] Kristianstad Univ, Sch Engn, S-29188 Kristianstad, Sweden
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2007年 / 53卷 / 03期
关键词：
binary linear codes; quasi-cyclic codes; simplex codes;
D O I：
10.1109/TIT.2006.890727
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
As a generalization of cyclic codes, quasi-cyclic (QC) codes contain many good linear codes. But quasi-cyclic codes studied so far are mainly limited to one generator (1-generator) QC codes. In this correspondence, 2-generator and 3-generator QC codes are studied, and many good, new QC codes are constructed from simplex codes. Some new binary QC codes or related codes, that improve the bounds on maximum minimum distance for binary linear codes are constructed. They are 5-generator QC [93 17 34] and [254,23, 102] codes, and related [96, 17, 361, [256, 23,104] codes.
引用
收藏
页码：1193 / 1196
页数：4
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