MINT – New Features and New Results

Rudolf Schürer and Wolfgang Ch. Schmid ()
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Wolfgang Ch. Schmid: University of Salzburg, Department of Mathematics

A chapter in Monte Carlo and Quasi-Monte Carlo Methods 2008, 2009, pp 171-189 from Springer

Abstract: Abstract (t,m,s)-nets are among the best methods for the construction of low-discrepancy point sets in the s-dimensional unit cube. Various types of constructions and bounds are known today. Additionally there exist many propagation rules connecting nets to other mathematical objects. The MinT database developed by the authors is one of the most elaborate and convenient tools for accessing information on many aspects of nets. In this article we provide new information about MinT. We also develop several new constructions by generalizing methods from coding theory and show how these methods can be used for obtaining new (t,m,s)-nets. In many cases the development of these new methods has been guided by MinT.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-04107-5_10

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DOI: 10.1007/978-3-642-04107-5_10

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