Symplectic QSD, LCD, and ACD Codes over a Non-Commutative Non-Unitary Ring of Order Nine.

IF 2 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Entropy Pub Date : 2025-09-18 DOI:10.3390/e27090973

Sarra Manseri, Patrick Solé, Adel Alahmadi, Widyan Basaffar

引用次数: 0

Abstract

We introduce quasi self-dual (QSD), linear complementary dual (LCD), and additive complementary dual (ACD) codes for the symplectic inner product over a non-commutative non-unitary ring of order 9. We establish connections with symplectic-self-orthogonal and LCD ternary codes. We characterize right-symplectic ACD codes.

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九阶非交换非酉环上的辛QSD、LCD和ACD码。

给出了非交换9阶非酉环上辛内积的拟自对偶（QSD）、线性互补对偶（LCD）和可加互补对偶（ACD）码。建立了辛自正交码与LCD三元码之间的联系。我们描述了右辛ACD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

Entropy PHYSICS, MULTIDISCIPLINARY-

CiteScore

4.90

自引率

11.10%

发文量

1580

审稿时长

21.05 days

期刊介绍： Entropy (ISSN 1099-4300), an international and interdisciplinary journal of entropy and information studies, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish as much as possible their theoretical and experimental details. There is no restriction on the length of the papers. If there are computation and the experiment, the details must be provided so that the results can be reproduced.