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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

Investigations on Strength Eight Balanced Arrays Using Some Classical Inequalities

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
  • Published: 31/08/2011

Abstract

In this paper, we derive some necessary existence conditions for balanced arrays (B-arrays) of strength eight and with two levels by making use of some classical inequalities such as Cauchy, Hölder, and Minkowski. We discuss the usefulness of these conditions in the study of the B-arrays, and also present some illustrative examples.

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Citation
D.V. Chopra, Richard M. Low, R. Dios. Investigations on Strength Eight Balanced Arrays Using Some Classical Inequalities[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 078. 235-243. DOI: .