A Note on Balanced Arrays of Strength Eight

R. Dios1, D.V. Chopra2
1New Jersey Institute of Technology Newark, New Jersey 07102, U.S.A.
2Wichita State University Wichita, Kansas 67260, U.S.A.

Abstract

In this paper, we derive a necessary existence condition involving the parameters of a balanced array (B-array) with two symbols and of strength \(t = 8\). Consequently, we demonstrate that the existence condition derived here can provide us with useful information on the maximum number of constraints for B-arrays with a given number of columns.