On Self-dual and LCD Double Circulant Codes over a Non-chain Ring  

作　　者：YAO Ting ZHU Shixin KAI Xiaoshan 

机构地区：[1]School of Mathematics, Hefei University of Technology

出　　处：《Chinese Journal of Electronics》2019年第5期1018-1024,共7页电子学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.61772168,No.61572168);the Natural Science Foundation of Anhui Province(No.1808085MA15);Key University Science Research Project of Anhui Province(No.KJ2018A0497)

摘　　要：In this paper, we study double circulant codes of length 2n over the non-chain ring R =Fq + vFq + v2Fq, where q is an odd prime power and v3 = v. Exact enumerations of self-dual and LCD double circulant codes of length 2n over R are derived. When n is an odd prime, using random coding, we obtain families of asymptotically good self-dual and LCD codes of length 6n over Fq.In this paper, we study double circulant codes of length 2n over the non-chain ring R = F_q + vF_q +v2F_q, where q is an odd prime power and v^3= v. Exact enumerations of self-dual and LCD double circulant codes of length n over R are derived. When n is an odd prime,using random coding, we obtain families of asymptotically good self-dual and LCD codes of length 6n over F_q.

关 键 词：Double CIRCULANT CODES Non-chain RING SELF-DUAL CODES Linear complementary dual (LCD) CODES Artin conjecture 

分 类 号：TN[电子电信]