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On the Non-Existence of Some Orthogonal Arrays

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 consider the problem of the non-existence of some orthogonal arrays (O-arrays) of strength four with two levels, the number of constraints \( k \) satisfying \( 4 \leq k \leq 32 \), and index set \( \lambda \) where \( 1 \leq \lambda \leq 64 \).