| 摘要: |
| 本文研究环R=F2+uF2+vF2上的自对偶码问题.利用Rn到F23n的Gray映射及R上的自对偶码C的Gray像为F2上自对偶码,获得了R上任何偶长度的自对偶码存在性的结论.最后,给出了R上两种构造自对偶码的方法. |
| 关键词: 自对偶码 Gray映射 双循环矩阵 |
| DOI： |
| 分类号:O157.4 |
| 基金项目:湖北理工学院青年项目(13xjz07Q). |
|
| TWO STRUCTURAL METHODS OF SELF-DUAL CODES OVER THE RING F2+uF2+vF2 |
|
HU Peng, LI Hui
|
|
School of Math. and Physics, Hubei Polytechnic University, Huangshi 435003, China
|
| Abstract: |
| In this paper, we study the self-dual codes over the ring R=F2+uF2+vF2. According to the Gray map from Rn to F23n and the fact that the Gray image of self-dual code C over the ring R is the self-dual code over F2, we obtain the conclusion that there exists self-dual codes with any even length over R. Finally, we propose two structural methods of self-dual codes over the ring R. |
| Key words: self-dual codes Gray maps double-circulant matrices |
