关于在 $$F_9$$ 上构建赫米特自正交编码及其应用

IF 1.3 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY International Journal of Theoretical Physics Pub Date : 2024-09-02 DOI:10.1007/s10773-024-05761-1
Zhihao Li, Ruihu Li, Chaofeng Guan, Hao Song
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引用次数: 0

摘要

我们利用规范码和矩阵组合构造方法为(k\le 3\) 构造了大量最优或接近最优的([n,k,d]_9\)赫米特自正交码。作为应用,我们构建了九个纠缠辅助量子纠错码系列。其中一些编码可以达到q-ary线性EA-Griesmer约束,其参数优于文献中的编码。
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On the Construction of Hermitian Self-Orthogonal Codes Over \(F_9\) and Their Application

We construct a lot of optimal or near-optimal \([n,k,d]_9\) Hermitian self-orthogonal codes for \(k\le 3\) using norm codes and matrix combinatorial construction method. As an application, we construct nine families of entanglement-assisted quantum error-correcting codes. Some of these codes can achieve q-ary linear EA-Griesmer bound with better parameters than those in the literature.

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来源期刊
CiteScore
2.50
自引率
21.40%
发文量
258
审稿时长
3.3 months
期刊介绍: International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.
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