| 环F2+uF2+…+uk-1F2上常循环自对偶码 |
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| 引用本文： | 施敏加.环F2+uF2+…+uk-1F2上常循环自对偶码[J].电子学报,2013,41(6):1088-1092. |
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| 作者姓名： | 施敏加 |
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| 作者单位： | 安徽大学数学科学学院, 安徽 合肥 230601 |
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| 基金项目： | 国家自然科学基金(No.61202068,No.11126174);安徽省高校优秀青年人才基金重点项目(No.2012SQRL0202D) |
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| 摘 要： | 最近,剩余类环上的常循环码及常循环自对偶码引起了编码学者的极大关注.本文首先利用一些相关的线性码,建立了一类特殊有限链环上长为N的常循环自对偶码的一般理论,利用其结果给出了该环上长为N的(1+uλ)-常循环自对偶码存在的充分条件,得到了该环上长为N的一些常循环自对偶码,并给出了其生成多项式.
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| 关 键 词： | 常循环码 对偶码 自正交码 分圆陪集 |
| 收稿时间： | 2011-08-15 |
Constacyclic Self-Dual Codes over Ring F2+uF2+…+uk-1F2 |
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| SHI Min-jia.Constacyclic Self-Dual Codes over Ring F2+uF2+…+uk-1F2[J].Acta Electronica Sinica,2013,41(6):1088-1092. |
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| Authors: | SHI Min-jia |
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| Affiliation: | School of Mathematics Sciences of Anhui University, Hefei, Anhui 230601, China |
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| Abstract: | Recently,a lot of coding scholars show a great interest in the study of constacyclic codes and constacyclic self-dual codes over the residue rings.In this paper,by utilizing some related linear codes,we first give the general theory of constacyclic self-dual codes of length N over a class of special finite chain rings.Using the obtained results,we give the sufficient conditions of the existence of constacyclic self-dual codes of length N over the ring.Finally,we determine the structures of some constacyclic self-dual codes of length N over the ring and give their generator polynomials. |
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| Keywords: | constacyclic codes dual codes self-orthogonal codes cyclotomic cosets |
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