YAO Ting, ZHU Shixin, KAI Xiaoshan. On Self-dual and LCD Double Circulant Codes over a Non-chain Ring[J]. Chinese Journal of Electronics, 2019, 28(5): 1018-1024. doi: 10.1049/cje.2019.06.021
Citation: YAO Ting, ZHU Shixin, KAI Xiaoshan. On Self-dual and LCD Double Circulant Codes over a Non-chain Ring[J]. Chinese Journal of Electronics, 2019, 28(5): 1018-1024. doi: 10.1049/cje.2019.06.021

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

doi: 10.1049/cje.2019.06.021
Funds:  This work is supported by the National Natural Science Foundation of China (No.61772168, No.61572168), the Natural Science Foundation of Anhui Province (No.1808085MA15), and Key University Science Research Project of Anhui Province (No.KJ2018A0497).
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  • Corresponding author: ZHU Shixin (corresponding author) was born in 1962.He is a professor and doctoral supervisor of Hefei University of Technology.His research interests include algebra code theory,information security and sequence cipher,etc.(Email:zhushixinmath@hfut.edu.cn)
  • Received Date: 2018-04-19
  • Rev Recd Date: 2018-07-28
  • Publish Date: 2019-09-10
  • In this paper, we study double circulant codes of length 2n over the non-chain ring R=Fq + vFq + v2F q, 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.
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