| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 29, Number 1, February 2024
|
|
|---|---|---|
| Page(s) | 45 - 50 | |
| DOI | https://doi.org/10.1051/wujns/2024291045 | |
| Published online | 15 March 2024 | |
Mathematics
CLC number: O236.2
Optimal Asymmetric Quantum Codes from the Euclidean Sums of Linear Codes
School of Science and Technology, College of Arts and Science of Hubei Normal University, Huangshi 435109, Hubei, China
Received:
19
March
2023
In this paper, we first give the definition of the Euclidean sums of linear codes, and prove that the Euclidean sums of linear codes are Euclidean dual-containing. Then we construct two new classes of optimal asymmetric quantum error-correcting codes based on Euclidean sums of the Reed-Solomon codes, and two new classes of optimal asymmetric quantum error-correcting codes based on Euclidean sums of linear codes generated by Vandermonde matrices over finite fields. Moreover, these optimal asymmetric quantum error-correcting codes constructed in this paper are different from the ones in the literature.
Key words: Euclidean sums of linear codes / optimal asymmetric quantum errorcorrecting codes / vandermonde matrices / Reed-Solomon codes
Cite this article: XU Peng, LIU Xiusheng. Optimal Asymmetric Quantum Codes from the Euclidean Sums of Linear Codes[J]. Wuhan Univ J of Nat Sci, 2024, 29(1): 45-50.
Biography: XU Peng, male, Associate professor, research direction: applied mathematics. E-mail: 526966054@qq.com
Fundation item: Supported by the Scientific Research Foundation of Hubei Provincial Education Department of China (Q20174503) and the National Science Foundation of Hubei Polytechnic University of China (12xjz14A and 17xjz03A)
© 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.