On LCD MRD Codes

Minjia SHI  Daitao HUANG  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E101-A   No.9   pp.1599-1602
Publication Date: 2018/09/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E101.A.1599
Type of Manuscript: LETTER
Category: Coding Theory
Keyword: 
rank metric,  MRD codes,  LCD codes,  generalized Gabidulin codes,  

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Summary: 
We investigate linear complementary dual (LCD) rank-metric codes in this paper. We construct a class of LCD generalized Gabidulin codes by a self-dual basis of an extension field over the base field. Moreover, a class of LCD MRD codes, which are obtained by Cartesian products of a generalized Gabidulin code, is constructed.