Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Hefei University of Technology(Natural Science)》 2006-06
Add to Favorite Get Latest Update

On the cyclic codes over F_P+uF_P+…+u~(k-1)F_P

LI Ping,ZHU Shi-xin(School of Sciences,Hefei University of Technology,Hefei 230009,China)  
In the last ten or more years,the cyclic codes and self-dual codes over finite rings have become a hot issue for coding theorists.It is proved in this paper that R[X]/Xn-1 is a principal ideal domain,where R=F_P+uF_P+…+u~(k-1) F_P,n is odd,and p is a prime number,and some necessary and sufficient conditions for the cyclic codes over R to be self-dual are given.A class of cyclic codes and their duals are also discussed,and the idempotent generators of this class of cyclic codes and their duals are described.
【Fund】: 安徽省高校青年教师科研资助计划重点项目(2006jql002zd);; 安徽省教育厅自然科学基金资助项目(2006kj254b);; 合肥工业大学科学研究发展基金资助项目(061003F)
【CateGory Index】: TN918
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 HU Wan-bao1,ZHANG Xiao-hong2 (1.Department of Mathematics, Anqing Teachers College, Anhui Anqing 246011,China; 2.Department of Mathematics, Hanzhong Teachers College, Shaanxi HanZhong 723000,China);A family of binary codes from Z _2~k-linear codes[J];Pure and Applied Mathematics;2002-04
2 HU Wan-bao(Department of Mathematics, Anqing Teachers College, Anqing, Anhui 246011,China);Linear negacyclic codes over Z_(2~k)[J];Pure and Applied Mathematics;2004-03
3 LI Guang-song, HAN Wen-bao ( Dept. of Appl. Math., Information Engineering Univ.,Zhengzhou 450002,China);Cyclic codes and their Mattson-Solomn polynomials over finite chain rings[J];Applied Mathematics A Journal of Chinese Universities;2004-02
4 WANG Dong-yin~~(1,2),ZHU Shi-xin~1(1.School of Scieaces,Hefei University of Technology,Hefei 230009,China;2.Dept.of Mathematics,Chaohu College,Chaohu 238000,China);Number of cyclic codes over F_2+uF_2 of oddly even length[J];Journal of Hefei University of Technology(Natural Science);2006-11
5 CHEN An-shun1,ZHU Shi-xin2(1.Dept.of Mathematics,Chuzhou University,Chuzhou 239012,China;2.Dept.of Mathenmatics,Hefei University of Technology,Hefei 230009,China);BCH bound for constacyclic codes over ring Z_p~e[J];Journal of Hefei University of Technology(Natural Science);2008-12
6 PEI Hui-li1,2(1.Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China;2.School of Mathematics and Computer, Harbin College, Harbin 150086, China);On the quasi-cyclic codes over Z_(2~(k+1))[J];Journal of Natural Science of Heilongjiang University;2007-03
7 FENG Qianqian,LIU Hongwei(School of Mathematics and Statistics,Huazhong Normal University,Wuhan 430079);Constacyclic codes over the integers modulo p~(k+1)[J];Journal of Huazhong Normal University(Natural Sciences);2008-02
8 TAN Xiao-qing(Department of Mathematics,Jinan University,Guangzhou 510632,China);Idempotent over polynomial residue class ring Z__(2m)[x]/(x~p-1)[J];Journal of Jinan University;2006-03
9 TAN Xiao-qing(Department of Mathematics,Jinan University,Guangzhou 510632,China);A kind of quadratic residue codes over Z_(2m) and their extended codes[J];Journal of Jinan University(Natural Science & Medicine Edition);2011-03
10 Zhu Shixin* Shi Minjia* ** *(Department of Applied Mathematics, Hefei University of Technology, Hefei 230009, China) **(School of Mathematics and Computational Science, Anhui University, Hefei 230039, China);THE RANKS OF CYCLIC AND NEGACYCLIC CODES OVER THE FINITE RING R[J];电子科学学刊(英文版);2008-01
【Co-references】
Chinese Journal Full-text Database 5 Hits
1 Li Ping Zhu Shi-xin (Dept. of Appl. Math., Hefei University of Technology, Hefei 230009, China);Cyclic Codes of Length 2~e Over F_2+uF_2[J];Journal of Electronics & Information Technology;2007-05
2 ZHU Shi-xin,TONG Hong-xi,QIAN Jian-fa(Department of Applied Mathematics, Hefei University of Technology, Hefei 230009, China);The Gray Image of Cyclic Code over Z_(p~(k+1))[J];College Mathematies;2004-06
3 LI Ping,ZHU Shi-xin(Department of Applied Mathematics,Hefei University of Technology,Hefei 230009,China);(1+u)-Cyclic Codes of Length 2~e over F_2+uF_2[J];College Mathematics;2007-01
4 ZHU Shi-xin, QIAN Jian-fa (School of Sciences, Hefei University of Technology, Hefei 230009, China);Two propositions of Grap map over the ring Z_p~(k+1)[J];Journal of Hefei University of Technology(Natural Science);2004-08
5 LI Ping,QIAN Kai-yan(School of Sciences,Hefei University of Technology,Hefei 230009,China);Discussion on the Hensel lift of a polynomial[J];Journal of Hefei University of Technology(Natural Science);2006-10
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved