某些有限群环的关联方案 II

Q4 Mathematics Communications on Applied Nonlinear Analysis Pub Date : 2024-07-05 DOI:10.52783/cana.v31.918

Anuradha Sabharwal, Pooja Yadav, R. K. Sharma

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引用次数: 0

摘要

关联方案已被用于编码理论和其他组合问题。本文构建了无边群 Z_2^r,〖Z〗_(n_1 )×Z_(n_2 )×⋯×Z_(n_r )、Z_m 上 n ×n 矩阵集以及 Z_2、Z_4 和 Z_6 上 2 阶一般线性群的关联方案。我们还利用典型形式获得了对称群和阶数为 4 和 5 的交替群的关联方案。

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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Association Schemes for Some Finite Group Rings II

Association schemes have been used in coding theory and other combinatorial problems. In this paper, we construct association schemes for the abelian groups Z_2^r,〖 Z〗_(n_1 )×Z_(n_2 )×⋯×Z_(n_r ), set of n ×n matrices over Z_m and for the general linear group of order 2 over Z_2,Z_4, and Z_6. We also obtain association schemes for symmetric groups and alternating groups of degree 4 and 5 using canonical forms.

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来源期刊

Communications on Applied Nonlinear Analysis Mathematics-Analysis

CiteScore

0.30

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0.00%

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