IEICE TRANSACTIONS on Fundamentals
On Hermitian LCD Generalized Gabidulin Codes
Summary :
In this paper, we study Hermitian linear complementary dual (abbreviated Hermitian LCD) rank metric codes. A class of Hermitian LCD generalized Gabidulin codes are constructed by qm-self-dual bases of Fq2m over Fq2. Moreover, the exact number of qm-self-dual bases of Fq2m over Fq2 is derived. As a consequence, an upper bound and a lower bound of the number of the constructed Hermitian LCD generalized Gabidulin codes are determined.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E105-A No.3 pp.607-610
- Publication Date
- 2022/03/01
- Publicized
- 2021/09/13
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2021EAL2067
- Type of Manuscript
- LETTER
- Category
- Coding Theory
Authors
Xubo ZHAO
China University of Petroleum (East China)
Xiaoping LI
China University of Petroleum (East China)
Runzhi YANG
China University of Petroleum (East China)
Qingqing ZHANG
China University of Petroleum (East China)
Jinpeng LIU
China University of Petroleum (East China)
Keyword
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Xubo ZHAO, Xiaoping LI, Runzhi YANG, Qingqing ZHANG, Jinpeng LIU, "On Hermitian LCD Generalized Gabidulin Codes" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 3, pp. 607-610, March 2022, doi: 10.1587/transfun.2021EAL2067.
Abstract: In this paper, we study Hermitian linear complementary dual (abbreviated Hermitian LCD) rank metric codes. A class of Hermitian LCD generalized Gabidulin codes are constructed by qm-self-dual bases of Fq2m over Fq2. Moreover, the exact number of qm-self-dual bases of Fq2m over Fq2 is derived. As a consequence, an upper bound and a lower bound of the number of the constructed Hermitian LCD generalized Gabidulin codes are determined.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAL2067/_p
Copy
@ARTICLE{e105-a_3_607,
author={Xubo ZHAO, Xiaoping LI, Runzhi YANG, Qingqing ZHANG, Jinpeng LIU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On Hermitian LCD Generalized Gabidulin Codes},
year={2022},
volume={E105-A},
number={3},
pages={607-610},
abstract={In this paper, we study Hermitian linear complementary dual (abbreviated Hermitian LCD) rank metric codes. A class of Hermitian LCD generalized Gabidulin codes are constructed by qm-self-dual bases of Fq2m over Fq2. Moreover, the exact number of qm-self-dual bases of Fq2m over Fq2 is derived. As a consequence, an upper bound and a lower bound of the number of the constructed Hermitian LCD generalized Gabidulin codes are determined.},
keywords={},
doi={10.1587/transfun.2021EAL2067},
ISSN={1745-1337},
month={March},}
Copy
TY - JOUR
TI - On Hermitian LCD Generalized Gabidulin Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 607
EP - 610
AU - Xubo ZHAO
AU - Xiaoping LI
AU - Runzhi YANG
AU - Qingqing ZHANG
AU - Jinpeng LIU
PY - 2022
DO - 10.1587/transfun.2021EAL2067
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2022
AB - In this paper, we study Hermitian linear complementary dual (abbreviated Hermitian LCD) rank metric codes. A class of Hermitian LCD generalized Gabidulin codes are constructed by qm-self-dual bases of Fq2m over Fq2. Moreover, the exact number of qm-self-dual bases of Fq2m over Fq2 is derived. As a consequence, an upper bound and a lower bound of the number of the constructed Hermitian LCD generalized Gabidulin codes are determined.
ER -
English
