Propagation rules for (u,m,e,s)-nets and (u,e,s)-sequences
Number Theory
2013-12-23 v1
Abstract
The classes of -nets and -sequences were recently introduced by Tezuka, and in a slightly more restrictive form by Hofer and Niederreiter. We study propagation rules for these point sets, which state how one can obtain -nets and -sequences with new parameter configurations from existing ones. In this way, we show generalizations and extensions of several well-known construction methods that have previously been shown for -nets and -sequences. We also develop a duality theory for digital -nets and present a new construction of such nets based on global function fields.
Cite
@article{arxiv.1312.5855,
title = {Propagation rules for (u,m,e,s)-nets and (u,e,s)-sequences},
author = {Peter Kritzer and Harald Niederreiter},
journal= {arXiv preprint arXiv:1312.5855},
year = {2013}
}