Strong orthogonal arrays enjoy more attractive space-filling properties than ordinary orthogonal arrays for computer experiments. In this paper, we propose two methods for constructing column-orthogonal nearly strong orthogonal arrays. These designs enjoy column orthogonality, inherit the attractive two-dimensional space-filling property of strong orthogonal arrays, and can accommodate twice or more number of factors than the existing strong orthogonal arrays. In addition, the proposed designs with four levels enjoy an attractive space-filling property under the maximin distance criterion. The construction methods are convenient and flexible, and the resulting designs are useful in computer experiments.

对于计算机实验，强正交阵列比普通正交阵列具有更吸引人的空间填充特性。在本文中，我们提出了两种构造列正交近强正交阵列的方法。这些设计具有列正交性，继承了强正交数组的引人注目的二维空间填充特性，并且可以容纳比现有强正交数组两倍或更多的因子。此外，在最大距离标准下，具有四个级别的拟议设计具有诱人的空间填充特性。构造方法方便灵活，所得到的设计可用于计算机实验。