Abstract

This article studies the Hamming distances and association schemes of orthogonal arrays. We present a general method of constructing mixed schematic saturated orthogonal arrays of strength two produced from saturated symmetric orthogonal arrays by using the expansive replacement method. As applications of the method, we obtain many new mixed schematic saturated orthogonal arrays. Some examples are given to illustrate this construction method.

中文翻译：

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膨胀置换法得到的饱和正交阵列示意图

摘要

本文研究了正交数组的汉明距离和关联方案。我们提出了一种通过使用扩展替换方法从饱和对称正交阵列生成的强度为 2 的混合示意图饱和正交阵列的一般方法。作为该方法的应用，我们得到了许多新的混合示意图饱和正交阵列。下面给出一些例子来说明这种构造方法。