强度3的混合正交表的构造

Constructions of mixed orthogonal arrays of strength three

对称正交表和混合正交表不仅在试验设计中有着重要的应用价值,而且它们也是构造其他组合构形的强有力工具.本文首先讨论了强度为3的差阵,得到了一些差阵的新结果,并且利用差阵和Hadamard矩阵给出了强度3的混合正交表的新的构造方法.作为应用,本文得到了一批新的强度3的混合正交表,并且有一部分是紧的.

Symmetric orthogonal arrays and mixed （or asymmetric） orthogonal arrays are useful in the design of various experiments. They are also a fundamental tool in the construction of various combinatorial configurations. In this paper, we obtain some difference matrices of strength three and provide some new constructions of mixed orthogonal arrays of strength three by using difference matrices and Hadamard matrices. As an application, we obtain some new mixed orthogonal arrays of strength three, and some of them are tight.