On the Construction of Hermitian Self-Orthogonal Codes Over $$F_9$$ and Their Application

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

引用次数: 0

Abstract

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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关于在 $$F_9$$ 上构建赫米特自正交编码及其应用

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

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.