Construction of MDS Codes With Complementary Duals

被引：86
作者：
Jin, Lingfei [1 ,2 ]
机构：
[1] Fudan Univ, Shanghai Key Lab Intelligent Informat Proc, Sch Comp Sci, Shanghai 200433, Peoples R China
[2] Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Jiangsu, Peoples R China
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2017年 / 63卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Generalized Reed-Solomon codes; MDS codes; Linear complementary dual; LINEAR CODES;
D O I：
10.1109/TIT.2016.2644660
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A linear complementary dual (LCD) code is a linear code with complimentary dual. LCD codes have been extensively studied in literature. On the other hand, maximum distance separable (MDS) codes are an important class of linear codes that have found wide applications in both theory and practice. However, little is known about MDS codes with complimentary duals. The main purpose of this paper is to construct several classes of MDS codes with complimentary duals, i.e., LCD MDS codes, through generalized Reed-Solomon codes.
引用
收藏
页码：2843 / 2847
页数：5
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