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

• 作者: KAI Xiaoshan YAO Ting ZHU Shixin
• 来源期刊: 中国电子杂志（英文版）
• 年，卷（期）: 2019,（5）
• 页码范围: 1018-1024
• 页数: 7页
• 语种: 英文
• DOI: 10.1049/cje.2019.06.021

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.