(1 + uv)-cyclic codes over F2 + uF2 + vF2 + uvF2

被引：0
|
作者：
Yu, Hai-Feng [1 ]
Zhu, Shi-Xin [2 ]
Zhang, Xia [1 ]
机构：
[1] Department of Mathematics and Physics, Hefei University, Hefei 230601, China
[2] School of Mathematics, Hefei University of Technology, Hefei 230009, China
来源：
Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology | 2014年 / 36卷 / 06期
关键词：
Block codes;
D O I：
10.3724/SP.J.1146.2013.01339
中图分类号：
学科分类号：
摘要：
(1 + uv)-cyclic codes over F2 + uF2 + vF2 + uvF2 is defined, and the relations between (1 + uv)-cyclic codes and cyclic codes is discussed. It is proved that the binary image on isometric Gray map φhom of a (1 + uv)-cyclic code of length n over R is a linear quasi-cyclic code of index 4 and of length 8n. Furthermore, some optimal binary linear quasi-cyclic codes are obtained.
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页码：1419 / 1422
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