摘要
环Z4+uZ4不是有限链环也不是主理想环。文章研究了环R=Z4+uZ4上的循环码,其中u2=0;确定了任意长度循环码的结构;定义了R到Z24的一个Gray映射,证明循环码的Gray象是指数为2的准循环码。
The ring Z4＋uZ4 is neither a finite ring nor a principle ideal ring. In this paper, the cyclic codes over the ring R=Z4-t-uZ4 are studied, where u2 =0. The structure of such cyclic codes for an arbitrary length is determined. A Gray map from R to Z2/4 is defined. It is proved that the Gray map of a cyclic code is a quasi-cyclic code of index 2.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第8期1006-1009,共4页
Journal of Hefei University of Technology：Natural Science
基金
国家自然科学基金资助项目(60973125)
安徽省自然科学基金资助项目(1208085MA14)
关键词
循环码
环同态
GRAY映射
准循环码
cyclic code
ring homomorphism
Gray map
quasi-cyclic code
