A Family of Asymmetrical Orthogonal Arrays with Run Sizes 4p^2  

一类试验次数为4p^2的非对称正交表的构造(英文)

作　　者：廖靖宇 张建军 张应山 

机构地区：[1]Department of Mathematics Xuchang College [2]Department of Statistics East China Normal University

出　　处：《Chinese Quarterly Journal of Mathematics》2007年第3期426-435,共10页数学季刊（英文版）

基　　金：the National Science Foundations of China(10571045);the National Science Foundations of Henan Province(02243700510211063100)

摘　　要：Nowadays orthogonal arrays play important roles in statistics, computer science, coding theory and cryptography. The usual difference matrices are essential for the construction of many mixed orthogonal arrays. But there are also many orthogonal arrays, especially mixed-level or asymmetrical which can not be obtained by the usual difference matrices. In order to construct these asymmetrical orthogonal arrays, a class of special matrices, so-called generalized difference matrices, were discovered by Zhang（1989, 1990, 1993） by the orthogonal decompositions of projective matrices. In this article, an interesting equivalent relationship between the orthogonal arrays and the generalized difference matrices is presented. As an application, a family of orthogonal arrays of run sizes 4p2, such as L36（6^13^42^10）, are constructed.

关 键 词：mixed-level orthogonal arrays generalized difference matrices projective matrices permutable matrices 

分 类 号：O212.6[理学—概率论与数理统计]