文[3]证明了当P是素数时投影矩阵τp与P水平对称正交表的矩阵象的Kronecker积所包含的正交表是存在的,本文进一步研究了一个非对称正交表的矩阵象和投影矩阵τp的Kronecker积所包含的正交表的存在性,从而推广了文[3]的结论,并且构造出了一些饱和度很高的混合水平正交表.
Paper [3] proves that an orthogonal array can be obtained from the Kronecker product of the matrix image of the symmetrical orthogonal array and the projection matrix τp for a prime p. In this paper, we study the existence of an orthogonal array related to the Kronecker product of the matrix image of an asymmetrical orghogonal array and τp. Consequently, we extend the conclusion of paper [3] and construct some asymmetrical orthogonal arrays with higher percent saturations.