Existence of balanced arrays and the positive semi-definiteness of the moment matrix

Document Type

Article

Publication Date

8-1-2012

Abstract

In this paper, we obtain a new set of conditions which are necessary for the existence of balanced arrays of strength eight with two levels by making use of the positive semi-definiteness of the matrix of moments. We also demonstrate, using illustrative examples, that the maximum number of constraints derived using these results are better than those obtained earlier.

Identifier

84864829075 (Scopus)

Publication Title

Journal of Combinatorial Mathematics and Combinatorial Computing

ISSN

08353026

First Page

77

Last Page

85

Volume

82

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