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A construction of(t,s)-sequences with finite-row generating matrices using global function fields

  • Published:2013-05 Issue: Volume:21 Page:97-110
  • ISSN:1071-5797
  • Container-title:Finite Fields and Their Applications
  • language:en
  • Short-container-title:Finite Fields and Their Applications

Author:

Hofer Roswitha,Niederreiter Harald

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference27 articles.

1. On the discrepancy of the Halton sequences;Atanassov;Math. Balkanica (N.S.),2004

2. On the exact t-value of Niederreiter and Sobolʼ sequences;Dick;J. Complexity,2008

3. Digital Nets and Sequences: Discrepancy Theory and Quasi-Monte Carlo Integration;Dick,2010

4. Discrépance de suites associées à un système de numération (en dimension s);Faure;Acta Arith.,1982

5. H. Faure, P. Kritzer, New star discrepancy bounds for (t,m,s)-nets and (t,s)-sequences, preprint, 2012.

Cited by 14 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Pair correlations of Halton and Niederreiter Sequences are not Poissonian;Monatshefte für Mathematik;2021-02-13

2. An Extension of the Digital Method Based on b-Adic Integers;Uniform distribution theory;2018-06-01

3. Kronecker–Halton sequences in Fp((X−1));Finite Fields and Their Applications;2018-03

4. A review of discrepancy bounds for (t,s) and (t,e,s)-sequences with numerical comparisons;Mathematics and Computers in Simulation;2017-05

5. Recent constructions of low-discrepancy sequences;Mathematics and Computers in Simulation;2017-05
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