Further Contributions to Balanced Arrays of Strength Four

D.V. Chopra1, Richard M. Low2, R. Dios3
1Department of Mathematics and Statistics Wichita State University Wichita, KS 67260-0033, USA
2Department of Mathematics San Jose State University San Jose, CA 95192, USA
3Department of Mathematics New Jersey Institute of Technology Newark, NJ 07102-1982, USA

Abstract

In this paper, we present (by using Cauchy-Schwarz inequalities) some new results amongst the parameters of balanced arrays (B-arrays) with two symbols and having strength four, which are necessary for the existence of such balanced arrays. We then discuss and illustrate their use and applications.