| 关于Z_8-码的几点研究 |
| |
| 引用本文： | 芮义鹤.关于Z_8-码的几点研究[J].安庆师范学院学报(自然科学版),2007,13(2):11-13. |
| |
| 作者姓名： | 芮义鹤 |
| |
| 作者单位： | 浙江工商大学,统计与数学学院,浙江,杭州,310035 |
| |
| 基金项目： | 浙江省教育厅科研资助项目(20050680) |
| |
| 摘 要： | 研究了Z8-码的重量计数器以及广义的MacWilliams恒等式,同时研究了两个与Z8-码C相关的码C(1)和C(2)的特性,得到了如下结论:若Z8-码C是自正交的,则C(1)和C(2)是自正交的四元码;若Z8-码C是类型为8n2的自对偶码,则C(1)是自对偶四元码。
|
| 关 键 词： | 码 生成矩阵 自正交码 自对偶码 重量计数器 |
| 文章编号： | 1007-4260（2007）02-0011-03 |
| 修稿时间： | 2006-10-16 |
Researches in Codes Over Z8 |
| |
| RUI Yi-he.Researches in Codes Over Z8[J].Journal of Anqing Teachers College(Natural Science Edition),2007,13(2):11-13. |
| |
| Authors: | RUI Yi-he |
| |
| Institution: | ZheJiang GongShang University HangZhou 310035 |
| |
| Abstract: | In this paper,weight enumerator of codes over Z8 and the generalization of MacWilliams identity are proposed.On the other hand,the properties of two quaternary codes C(1) and C(2) which are associated with the code C over Z8 are discussed.Meanwhile,two good conclusions are given as follows:1) C(1) and C(2) are self-orthogonal quaternary codes if C is self-orthogonal code.2) C(1) is self-dual quaternary code if C is self-dual code and of the type 8(n/2) |
| |
| Keywords: | code generator matrix self-orthogonal code self-dual code weight enumerator |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
