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EAQEC codes from the LCD codes decomposition of linear codesEAQEC codes from the LCD codes decomposition of linear...H. Li, X. Liu
被引：0
作者：
Hui Li
[1
]
Xiusheng Liu
[2
]
机构：
[1] Hubei Polytechnic University,School of Mathematics and Physics
[2] College of Arts and Science of Hubei Normal University,School of Science and Technology
关键词：
Entanglement-assisted quantum error-correcting codes;
LCD codes;
Matrix-product codes;
Generalized Reed–Solomon codes;
11T71;
94B15;
94B65;
D O I：
10.1007/s11128-024-04630-4
中图分类号：
学科分类号：
摘要：
In this paper, we provide two new methods of constructing entanglement-assisted quantum error-correcting (EAQEC) codes by using the LCD codes decomposition of linear codes. We first construct a class of maximal entanglement EAQEC maximum distance separable codes via the LCD codes decomposition of generalized Reed–Solomon (GRS) codes over finite fields F2m\documentclass[12pt]{minimal}
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\begin{document}$$\mathbb {F}_{2^m}$$\end{document}. We then construct two classes of maximal entanglement EAQEC codes based on the LCD codes decomposition of matrix-product codes related to cyclic codes over finite fields Fq\documentclass[12pt]{minimal}
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\begin{document}$$\mathbb {F}_{q}$$\end{document}. In addition, we construct EAQEC codes with better parameters than the ones available in the literature.
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