文章基本信息

标题：Cyclic codes of length 2^k over Z₈
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作者：Arpana Garg ; Sucheta Dutt
期刊名称：Open Journal of Applied Sciences
印刷版ISSN：2165-3917
电子版ISSN：2165-3925
出版年度：2012
卷号：2
期号：4B
页码：104-107
DOI：10.4236/ojapps.2012.24B025
出版社：Scientific Research Publishing
摘要：We study the structure of cyclic codes of length 2k over Z8 for any natural number k. It is known that cyclic codes of length 2k over Z8 are ideals of the ring R=Z8[X]/. In this paper we prove that the ring R=Z8[X]/ is a local ring with unique maximal ideal, thereby implying that R is not a principal ideal ring. We also prove that cyclic codes of length 2k over Z8 are generated as ideals by at most three elements.
关键词：Codes; Cyclic Codes; Ideal; Principal Ideal Ring