On the classification of skew Hadamard matrices of order $$\varvec{36}$$ and related structures

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-07 DOI:10.1007/s10623-024-01427-5

Makoto Araya, Masaaki Harada, Hadi Kharaghani, Ali Mohammadian, Behruz Tayfeh-Rezaie

引用次数: 0

Abstract

Two skew Hadamard matrices are considered SH-equivalent if they are similar by a signed permutation matrix. This paper determines the number of SH-inequivalent skew Hadamard matrices of order 36 for some types. We also study ternary self-dual codes and association schemes constructed from the skew Hadamard matrices of order 36.

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关于阶为 $$\varvec{36}$ 的倾斜哈达玛矩阵的分类及相关结构

如果两个倾斜哈达玛矩阵通过一个带符号的置换矩阵而相似，那么这两个矩阵就被认为是 SH-等价的。本文确定了某些类型的 36 阶 SH-inequivalent skew Hadamard 矩阵的数量。我们还研究了由 36 阶偏斜哈达玛矩阵构造的三元自偶码和关联方案。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.