Existence of balanced arrays and the positive semi-definiteness of the moment matrix
Chopra, Dharam V. Low, Richard M. Dios, R.
Chopra, Dharam V.
Low, Richard M.
Dios, R.
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2012-08-31
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D.V. Chopra, Richard M. Low, R. Dios. Existence of Balanced Arrays and the Positive Semi-definiteness of the Moment Matrix[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 082. 77-85.
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.
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This is an open access article under the CC by license.
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Charles Babbage Research Centre
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Journal of Combinatorial Mathematics and Combinatorial Computing
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08353026