The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Nous étudions les codes métriques de rang double complémentaire linéaire (LCD) dans cet article. Nous construisons une classe de codes de Gabidulin généralisés LCD par une base auto-duale d'un champ d'extension sur le champ de base. De plus, une classe de codes LCD MRD, obtenus par des produits cartésiens d'un code Gabidulin généralisé, est construite.
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},}
Copier
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 -