| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 29, Number 1, February 2024
|
|
|---|---|---|
| Page(s) | 38 - 44 | |
| DOI | https://doi.org/10.1051/wujns/2024291038 | |
| Published online | 15 March 2024 | |
Mathematics
CLC number: O236.2
Three New Classes of Subsystem Codes
1
School of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, Hubei, China
2
College of Arts and Science, Hubei Normal University, Huangshi 435003, Hubei, China
Received:
18
May
2023
In this paper, we construct three classes of Clifford subsystem maximum distance separable (MDS) codes based on Reed-Solomon codes and extended generalized Reed-Solomon codes over finite fields 
for specific code lengths. Moreover, our Clifford subsystem MDS codes are new because their parameters differ from the previously known ones.
Key words: Clifford subsystem codes / Reed-Solomon codes / generator matrices
Cite this article: LI Hui, LIU Xiusheng, HU Peng. Three New Classes of Subsystem Codes[J]. Wuhan Univ J of Nat Sci, 2024, 29(1): 38-44.
Biography: LI Hui, female, Master, Lecturer, research direction: algebraic coding. E-mail: HPhblg@126.com
Fundation item: Supported by Research Funds of Hubei Province (D20144401 and Q20174503)
© Wuhan University 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.