Halton-type sequences from global function fields |
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Authors: | Harald Niederreiter Anderson SiangJing Yeo |
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Affiliation: | 14623. Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, A-4040, Linz, Austria 24623. Department of Mathematics, University of Salzburg, A-5020, Salzburg, Austria 34623. School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore
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Abstract: | For any prime power q and any dimension s ? 1, 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 directly 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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