Improvements and Extensions of the “Salzburg Tables” by Using Irreducible Polynomials

  • Wolfgang Ch. Schmid
Conference paper


The quality of quasi-Monte Carlo methods mainly depends on the distribution properties of the underlying (deterministic) point set. The theory of digital nets provides a method for the construction of extremely well distributed point sets in thes-dimensional unit cube.

This article is an extension of the work in [LLNS96] where a special class of these point sets was introduced. We present improved existence results for digital nets over finite fields \({\mathbb{F}_q}\)of arbitrary prime-power orderq, and show great improvements for concrete constructions in the binary case.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Wolfgang Ch. Schmid
    • 1
  1. 1.Department of MathematicsUniversity of SalzburgSalzburgAustria

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