Halton-type sequences from global function fields
Number Theory
2015-06-11 v1 Computational Finance
Abstract
For any prime power and any dimension , a new construction of -sequences in base using global function fields is presented. The construction yields an analog of Halton sequences for global function fields. It is the first general construction of -sequences that is not based on the digital method. The construction can also be put into the framework of the theory of -sequences that was recently introduced by Tezuka and leads in this way to better discrepancy bounds for the constructed sequences.
Cite
@article{arxiv.1210.7721,
title = {Halton-type sequences from global function fields},
author = {Harald Niederreiter and Anderson Siang Jing Yeo},
journal= {arXiv preprint arXiv:1210.7721},
year = {2015}
}