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Constructions of nets via OAs of strength 3 with a prescribed property

✍ Scribed by Yang Li; Jianxing Yin

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 131 KB
Volume: 19
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.20267

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✦ Synopsis

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.

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