Cyclic codes of length 2k over Z8

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 2 k over Z8 are ideals of the ring R=Z8 x/< x2k-1 >.In this paper we prove that the ring R=Z8 x/< x2k-1 > is a local ring with unique maximal ideal M=<2,x-1>,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

作者: Arpana Garg Sucheta Dutt

作者单位: Department of Applied Sciences PEC University of Technology, Sector-12 Chandigarh.India

会议类型: 国际会议

会议名称: 2012年国际工程应用数学研讨会

会议地点: 北京

会议语种:英文

页码: 104-107

在线出版日期: 2012-10-26（万方平台首次上网日期，不代表论文的发表时间）