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Constructions of nets via OAs of strength 3 with a prescribed property
Author(s) -
Li Yang,
Yin Jianxing
Publication year - 2011
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/jcd.20267
Subject(s) - orthogonal array , mathematics , combinatorics , equivalence (formal languages) , series (stratigraphy) , property (philosophy) , point (geometry) , discrete mathematics , geometry , statistics , taguchi methods , paleontology , philosophy , epistemology , biology
The idea of ( t , m , s )‐nets was proposed by Niederreiter in 1987. Such nets are highly uniform point distributions in s ‐dimensional unit cubes and useful in numerical analysis. It is by now well known that ( t , m , s )‐nets can be equivalently described in terms of ordered orthogonal arrays (OOAs). In this article, we describe an equivalence between an OOA and an orthogonal array (OA) with all its derived orthogonal subarrays being resolvable. We then present a number of constructions for OAs where all their derived orthogonal subarrays are resolvable. These results are finally combined to give new series of ( t , m , s )‐nets. © 2010 Wiley Periodicals, Inc. J Combin Designs 19:144‐155, 2011