Bounds on the number of constraints for balanced arrays of strength t |
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Institution: | 1. Department of Mathematics, Sungkyunkwan University, Suwon 16419, Republic of Korea;2. Applied Algebra and Optimization Research Center, Sungkyunkwan University, Suwon 16419, Republic of Korea;3. School of Science, Waterford Institute of Technology, Ireland |
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Abstract: | We describe a method, based on non-negative definiteness of moment matrices, for deriving upper bounds on the number of constraints in balanced arrays of strength t, involving two or more symbols. It is seen that the method covers, in particular, those due to Rafter and Seiden (1974) and Chopra (1982,1983). |
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