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

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

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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.

Double circulant codesNon-chain ringSelf-dual codesLinear complementary dual (LCD) codesArtin conjecture

YAO Ting、ZHU Shixin、KAI Xiaoshan

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School of Mathematics, Hefei University of Technology, Hefei 230601, China

This work is supported by the National Natural Science Foundation of ChinaThis work is supported by the National Natural Science Foundation of ChinaNatural Science Foundation of Anhui ProvinceKey University Science Research Project of Anhui Province

61772168615721681808085MA15KJ2018A0497

2019

10.1049/cje.2019.06.021

中国电子杂志(英文版)

中国电子杂志(英文版)

CSTPCDCSCDSCIEI
ISSN：1022-4653
年,卷(期)：2019.28(5)
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