Halton-type sequences from global function fields
AbstractFor any prime power $q$ and any dimension $s$, a new construction of $(t,s)$-sequences in base $q$ 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 $(t,s)$-sequences that is not based on the digital method. The construction can also be put into the framework of the theory of $(u,e,s)$-sequences that was recently introduced by Tezuka and leads in this way to better discrepancy bounds for the constructed sequences.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1210.7721.
Date of creation: Oct 2012
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-11-11 (All new papers)
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