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The Microstructure of (t, m, s)-Nets

✍ Scribed by Harald Niederreiter; Gottlieb Pirsic


Book ID
102587892
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
128 KB
Volume
17
Category
Article
ISSN
0885-064X

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πŸ“œ SIMILAR VOLUMES


Updated tables of parameters of (T, M, S
✍ Andrew T. Clayman; K. Mark Lawrence; Gary L. Mullen; Harald Niederreiter; N.J.A. πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 181 KB

We present an updated survey of the known constructions and bounds for (t, m, s)nets as well as tables of upper and lower bounds on their parameters for various bases.

A combinatorial characterization of (t,m
✍ K. Mark Lawrence πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 956 KB

We consider ( t , rn, s)-nets in base b, which were introduced by Niederreiter in 1987. These nets are highly uniform point distributions in s-dimensional unit cubes and have applications in the theory of numerical integration and pseudorandom number generation. A central question in their study is

An Equivalence between (T, M, S)-Nets an
✍ Gary L. Mullen; Wolfgang Ch. Schmid πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 281 KB

It is well known that (t, m, s)-nets are useful in numerical analysis. While many of the best constructions of such nets arise from number theoretic or algebraic constructions, we will show in this paper that the existence of a (t, t+k, s)-net in base b is equivalent to the existence of a set of s s

Coding-theoretic constructions for (t,m,
✍ JΓΌrgen Bierbrauer; Yves Edel; Wolfgang Ch. Schmid πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 169 KB

## Abstract (__t__,__m__,__s__)‐nets are point sets in Euclidean __s__‐space satisfying certain uniformity conditions, for use in numerical integration. They can be equivalently described in terms of ordered orthogonal arrays, a class of finite geometrical structures generalizing orthogonal arrays.