A construction method for column-orthogonal strong orthogonal arrays

This is the authors' abstract. We don't add key points for this paper.

Strong orthogonal arrays are highly valued for their exceptional space-filling properties. The orthogonality inherent in these arrays ensures that the estimated effects remain uncorrelated. This paper introduces a novel construction method for column-orthogonal strong orthogonal arrays (OSOAs) of strength 2+. Compared to existing methods, our approach enables the construction of OSOAs with more flexible run sizes and a greater number of columns. This flexibility addresses a significant limitation in current designs, allowing for broader applicability in various experimental settings. Using the constructed OSOAs of strength 2+, we derive a special type of OSOAs of strength 2. These designs offer improved two-dimensional stratifications, ensuring better coverage and uniformity in the input space. Furthermore, our method facilitates the creation of OSOAs of strength 2∗, which possess an increased number of columns. These improvements in flexibility, stratification, and column size significantly enhance the utility and performance of OSOAs in practical applications.