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.
Minjia SHI
Anhui University
Daitao HUANG
Anhui University
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Minjia SHI, Daitao HUANG, "On LCD MRD Codes" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 9, pp. 1599-1602, September 2018, doi: 10.1587/transfun.E101.A.1599.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.1599/_p
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@ARTICLE{e101-a_9_1599,
author={Minjia SHI, Daitao HUANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On LCD MRD Codes},
year={2018},
volume={E101-A},
number={9},
pages={1599-1602},
abstract={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.},
keywords={},
doi={10.1587/transfun.E101.A.1599},
ISSN={1745-1337},
month={September},}
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TY - JOUR
TI - On LCD MRD Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1599
EP - 1602
AU - Minjia SHI
AU - Daitao HUANG
PY - 2018
DO - 10.1587/transfun.E101.A.1599
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2018
AB - 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.
ER -