链环上的自正交码和量子码

Q3 Mathematics

Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2024-05-06 DOI:10.13069/jacodesmath.v11i2.304

Maryam Bajelan, Mina Moeini, Bahattin Yildiz

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引用次数: 0

摘要

在本文中，我们研究了链环上编码的格雷图像，从而推导出了残差域 $\mathbb{F}_q$ 上的无穷自正交线性编码系列。我们确定了最优自正交和可分线性编码的参数。此外，我们还研究了准扭曲码的格雷图像，从而得到了一些自正交格里斯梅尔准循环码。最后，我们利用 CSS 结构推导出一些基于自正交线性编码的量子编码。

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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Self-orthogonal and quantum codes over chain rings

In this paper, we investigate the Gray images of codes over chain rings, leading to the derivation of infinite families of self-orthogonal linear codes over the residue field $\mathbb{F}_q$. We determine the parameters of optimal self-orthogonal and divisible linear codes. Additionally, we study the Gray images of quasi-twisted codes, resulting in some self-orthogonal Griesmer quasi-cyclic codes. Finally, we employ the CSS construction to derive some quantum codes based on self-orthogonal linear codes.

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来源期刊

Journal of Algebra Combinatorics Discrete Structures and Applications Mathematics-Algebra and Number Theory

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

5 weeks