Contributions to Strength Six Balanced Arrays Using Holder and Minkowski Inequalities

Abstract

In this paper, we obtain some new results, using inequalities such as Hölder and Minkowski, etc., on the existence of balanced arrays (B-arrays) with two levels and of strength six. We then discuss the use of these results to obtain the maximum number of constraints for B-arrays with given values of the parameter vector ${\underset{\_}{\mu }}^{\prime }$. We also include some illustrative examples.