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Halton-type sequences from global function fields

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  • Harald Niederreiter
  • Anderson Siang Jing Yeo
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    Abstract

    For 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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    File URL: http://arxiv.org/pdf/1210.7721
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    Bibliographic Info

    Paper provided by arXiv.org in its series Papers with number 1210.7721.

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    Date of creation: Oct 2012
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    Handle: RePEc:arx:papers:1210.7721

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    Web page: http://arxiv.org/

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