Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 4, Issue 1


Published
on

May 23, 2009


Pages

69-79


DOI

Article

The Quality Parameter of Cyclic Nets and Hyperplane Nets


Authors

Friedrich Pillichshammer Affiliation:
Department of Financial Mathematics and Applied Number Theory Johannes Kepler University Linz Altenbergerstr. 69 4040 Linz AUSTRIA
and Gottlieb Pirsic Affiliation:
Institut fu¨r Finanzmathematik Universit¨at Linz Altenbergstraße 69 A-4040 Linz AUSTRIA


Abstract

The class of so-called hyperplane nets is one of the most general sub-classes of digital (t, m, s)-nets over a finite field. In this paper a figure of merit is studied with which one can determine the net parameter t of hyperplane nets. Furthermore, existence of such digital nets of good quality is proved.


Keywords

Digital nets, finite field, hyperplane nets.


Citation

Pillichshammer, F. & Pirsic, G. (2009). The quality parameter of cyclic nets and hyperplane nets. Uniform Distribution Theory, 4(1), 69–79.

Published by: Engineering Journals

Engineering Journals Logo