Schematic saturated orthogonal arrays obtained by using the expansive replacement method

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.

Keywords:

• Schematic orthogonal array
• Hamming distance
• association scheme
• expansive replacement method

Additional information

Funding

This work was supported by the National Natural Science Foundation of China (Grant No. 11971004).