列正交强正交阵列的直接构造

IF 0.9 2区数学 Q2 MATHEMATICS

Journal of Combinatorial Theory Series A Pub Date : 2024-10-18 DOI:10.1016/j.jcta.2024.105965

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引用次数: 0

摘要

在计算机实验中，强正交阵列比普通正交阵列具有更好的空间填充特性。强度为两加、两星和三减的强正交阵列可以改善低维的空间填充特性，而列正交性在计算机实验中起着至关重要的作用。在本文中，我们利用线性编码的差分矩阵和生成矩阵，提出了几种列正交强正交阵列的构造。我们的构造可以提供比现有文献中更多的列正交强正交阵列因子数，并享有灵活的运行规模。这些构造非常方便，由此产生的设计是计算机实验的良好选择。

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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Direct constructions of column-orthogonal strong orthogonal arrays

Strong orthogonal arrays have better space-filling properties than ordinary orthogonal arrays for computer experiments. Strong orthogonal arrays of strengths two plus, two star and three minus can improve the space-filling properties in low dimensions and column orthogonality plays a vital role in computer experiments. In this paper, we use difference matrices and generator matrices of linear codes to present several constructions of column-orthogonal strong orthogonal arrays of strengths two plus, two star, three minus and t. Our constructions can provide larger numbers of factors of column-orthogonal strong orthogonal arrays of strengths two plus, two star, three minus and t than those in the existing literature, enjoy flexible run sizes. These constructions are convenient, and the resulting designs are good choices for computer experiments.

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来源期刊

Journal of Combinatorial Theory Series A 数学-数学

CiteScore

2.90

自引率

9.10%

发文量

审稿时长

12 months

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.