| 环Z4上一些线性码的深度谱 |
| |
| 引用本文： | 唐淼,朱士信.环Z4上一些线性码的深度谱[J].合肥工业大学学报(自然科学版),2007,30(8):1062-1064. |
| |
| 作者姓名： | 唐淼 朱士信 |
| |
| 作者单位： | 合肥工业大学,理学院,安徽,合肥,230009 |
| |
| 摘 要： | 文章主要研究环Z4上线性码的深度谱,证明了2k型的线性码的深度谱恰含有k个非零值;从4k12k2型线性码的2k型子码与有限域F2上线性码的同构关系出发,对于一般的4k12k2型线性码的深度谱进行了分析;给出了一些满足特定条件的线性码的深度谱。
|
| 关 键 词： | 线性码 深度 深度分布 深度谱 |
| 文章编号： | 1003-5060(2007)08-1062-03 |
| 修稿时间： | 2006年7月8日 |
Study of the depth spectrum of some linear codes on the ring Z4 |
| |
| TANG Miao,ZHU Shi-xin.Study of the depth spectrum of some linear codes on the ring Z4[J].Journal of Hefei University of Technology(Natural Science),2007,30(8):1062-1064. |
| |
| Authors: | TANG Miao ZHU Shi-xin |
| |
| Abstract: | It is proved in the paper that the depth spectrum of linear codes of the type 2k over the ring Z4 consists exactly of k nonzero values.In addition,in light of the isomorphism between the linear subcodes of the type 2k and the linear codes over the Galois field F2,the property of the depth spectrum of linear codes of the type 4k12k2 is researched,and the depth spectrum of some linear codes which fulfill certain specific conditions is given. |
| |
| Keywords: | linear code depth depth distribution depth spectrum |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
