Strength Six Orthogonal Arrays and Their Non-Existence

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 consider the non-existence of some bi-level orthogonal arrays (O-arrays) of strength six, with \( m \) constraints (\( 6 \leq m \leq 32 \)), and with index set \( \mu \) (\( 1 \leq \mu \leq 512 \)). The results presented here tend to improve upon the results available in the literature.