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The decomposability of simple orthogonal arrays on 3 symbols having t + 1 rows and strength t
Author(s) -
Diestelkamp Wiebke S.
Publication year - 2000
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/1520-6610(2000)8:6<442::aid-jcd7>3.0.co;2-8
Subject(s) - mathematics , combinatorics , orthogonal array , simple (philosophy) , row , row and column spaces , statistics , computer science , taguchi methods , philosophy , epistemology , database
It is well‐known that all orthogonal arrays of the form OA ( N, t + 1, 2, t ) are decomposable into λ orthogonal arrays of strength t and index 1. While the same is not generally true when s = 3, we will show that all simple orthogonal arrays of the form OA ( N, t + 1, 3, t ) are also decomposable into orthogonal arrays of strength t and index 1. © 2000 John Wiley & Sons, Inc. J Combin Designs 8: 442–458, 2000