Cyclic codes over Galois rings
文献类型：期刊论文
| 作者 | Wan, ZX; Wan ZX(万哲先)
|
| 刊名 | ALGEBRA COLLOQUIUM
 |
| 出版日期 | 1999-09-01 |
| 卷号 | 6期号:3页码:291-304 |
| 关键词 | cyclic code Galois ring generating polynomial generating idempotent |
| ISSN号 | 1005-3867 |
| 英文摘要 | Let R be the Galois ring of characteristic p(s) and cardinality p(sm). It is proved that any cyclic code of length n not divisible by p over R is generated by a single polynomial over R. The generating idempotents of cyclic codes are studied. In particular, it is proved that a cyclic code of length n not divisible by p over R has a generating idempotent if and only if it is generated by a monic divisor of x(n) - 1 in R[a]. 1991 Mathematics Subject Classification: 94B15. |
| 语种 | 英语 |
| WOS记录号 | WOS:000085277400007 |
| 出版者 | SPRINGER VERLAG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14819]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Wan, ZX |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wan, ZX,Wan ZX. Cyclic codes over Galois rings[J]. ALGEBRA COLLOQUIUM,1999,6(3):291-304. |
| APA | Wan, ZX,&万哲先.(1999).Cyclic codes over Galois rings.ALGEBRA COLLOQUIUM,6(3),291-304. |
| MLA | Wan, ZX,et al."Cyclic codes over Galois rings".ALGEBRA COLLOQUIUM 6.3(1999):291-304. |
入库方式： OAI收割
来源：数学与系统科学研究院
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