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J. Hefei Univ. Tech. (Nat. Sci.)

合肥工业大学学报(自然科学版)

JOURNAL OF HEFEI UNIVERSITY OF TECHNOLOGY (NATURAL SCIENCE)

Competent Authorities: Ministry of Education of the People's Republic of China

Sponsor by: Hefei University of Technology

ISSN 1000-1646, CN 34-1001/N

A class of quaternary Hermitian LCD constacyclic codes

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四元域上一类厄米特互补对偶常循环码

Journal Information

J. Hefei Univ. Tech. (Nat. Sci.), Jan.2023, Vol.46 No.1: 136-140

DOI: 10.3969/j.issn.1003-5060.2023.01.021

Authors

SUN Shilin, LIU Li

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

Abstract and Keywords

Abstract: Linear codes with complementary duals (LCD) over finite fields have good structure and properties, and are widely used in two-user adder channels. In this paper, the quaternary Hermitian LCD constacyclic codes are constructed and their parameters are analyzed. The dimensions of these codes are settled and the lower bounds on their minimum distances are presented.

Keywords: linear codes with complementary duals(LCD); constacyclic codes; generator polynomial

作者信息

孙世林，刘丽

（合肥工业大学数学学院，安徽合肥230601）

摘要和关键词

摘要: 有限域上线性互补对偶码(linear codes with complementary duals, LCD)具有良好的结构和性质,并在双用户加法器信道中得到广泛的应用。文章构造四元厄米特 LCD 常循环码,分析它们的参数,并确定其维数,给出它们最小距离的下界。

关键词: 线性互补对偶码；常循环码；生成多项式

Funding

国家自然科学基金资助项目（61972126）；中央高校基本科研业务费专项资金资助项目（PA2019GDZC0097）

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