Combinatorial methods in the construction of point sets with uniformity properties

G. L. Mullen

doi:10.1016/0895-7177(96)00035-0

Combinatorial methods in the construction of point sets with uniformity properties

G. L. Mullen

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

It is well known that (t, m, s)-nets are useful in numerical analysis. Many of the constructions of such nets arise from number theoretic or algebraic constructions. Less well known is the fact that combinatorial constructions also yield nets with very good and in many cases, optimal parameters. In this paper, we provide a survey of such combinatorial constructions of (t, m, s)-nets.

Original language	English (US)
Pages (from-to)	1-8
Number of pages	8
Journal	Mathematical and Computer Modelling
Volume	23
Issue number	8-9
DOIs	https://doi.org/10.1016/0895-7177(96)00035-0
State	Published - 1996

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Computer Science Applications

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10.1016/0895-7177(96)00035-0

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abstract = "It is well known that (t, m, s)-nets are useful in numerical analysis. Many of the constructions of such nets arise from number theoretic or algebraic constructions. Less well known is the fact that combinatorial constructions also yield nets with very good and in many cases, optimal parameters. In this paper, we provide a survey of such combinatorial constructions of (t, m, s)-nets.",

author = "Mullen, \{G. L.\}",

note = "Funding Information: The author would like to thank the National Security Agency for partial support under Grant Agreement \#MDA90492-H-3044. I would like to thank H. Niederreiter for a number of very helpful comments and suggestions. Thanks are also due a referee for several helpful comments.",

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PY - 1996

Y1 - 1996

N2 - It is well known that (t, m, s)-nets are useful in numerical analysis. Many of the constructions of such nets arise from number theoretic or algebraic constructions. Less well known is the fact that combinatorial constructions also yield nets with very good and in many cases, optimal parameters. In this paper, we provide a survey of such combinatorial constructions of (t, m, s)-nets.

AB - It is well known that (t, m, s)-nets are useful in numerical analysis. Many of the constructions of such nets arise from number theoretic or algebraic constructions. Less well known is the fact that combinatorial constructions also yield nets with very good and in many cases, optimal parameters. In this paper, we provide a survey of such combinatorial constructions of (t, m, s)-nets.

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AN - SCOPUS:0039860064

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ER -

Combinatorial methods in the construction of point sets with uniformity properties

Abstract

All Science Journal Classification (ASJC) codes

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