Article ID Journal Published Year Pages File Type
9741832 Journal of Statistical Planning and Inference 2005 6 Pages PDF
Abstract
Some difference schemes cannot be constructed by any known algebraic method. We developed a sequential-search algorithm that makes larger difference schemes by appending columns to smaller difference schemes. We used it to find the known, but obscure difference scheme D(15,9,3) and the apparently new difference schemes D(21,12,3), D(20,10,4), D(24,18,4), and D(15,8,5), all of which are useful in constructing orthogonal arrays.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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