Construction of asymmetric orthogonal arrays of high strength via generator matrix

被引：0
|
作者：
Zhang, Tian-Fang [1 ]
Duan, Yingxing [2 ]
Yang, Jian-Feng [3 ,4 ]
机构：
[1] Jiangxi Normal Univ, Coll Math & Stat, Nanchang, Peoples R China
[2] Jiujiang Third Middle Sch, Jiujiang, Peoples R China
[3] Nankai Univ, Sch Stat & Data Sci, LPMC, Tianjin, Peoples R China
[4] Nankai Univ, KLMDASR, Tianjin, Peoples R China
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2024年 / 53卷 / 17期
基金：
中国国家自然科学基金;
关键词：
Companion matrix; experimental design; Galois field; replacement method; EXISTENCE;
D O I：
10.1080/03610926.2023.2242982
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Asymmetric orthogonal arrays are very useful in theoretical studies and practical applications. However, it is difficult to construct such designs of high strength. In this article, we use the generator matrix method to obtain some asymmetric orthogonal arrays of strength three. Then we combine it with the general (further) replacement procedure to get more general asymmetric orthogonal arrays of high strength.
引用
收藏
页码：6206 / 6223
页数：18
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