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On LCD MRD Codes
Minjia SHI Daitao HUANG
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2018/09/01
Online ISSN: 1745-1337
Type of Manuscript: LETTER
Category: Coding Theory
rank metric, MRD codes, LCD codes, generalized Gabidulin codes,
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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.