Calculation of the quality parameter of digital nets and application to their construction

Journal of Complexity

Volumn 17, Issue 4, 2001, Pages 827-839

  Pirsic, Gottlieb ^a   Schmid, Wolfgang Ch ^b  

^a ERICH SCHMID INSTITUTE OF MATERIALS SCIENCE   (Austria)

^b UNIVERSITY OF SALZBURG   (Austria)

Author keywords

Implementation; Low discrepancy point sets; Quasi Monte Carlo methods

Indexed keywords

EID: 0035704063     PISSN: 0885064X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcom.2001.0597     Document Type: Article

References (14)

1. Updated tables of parameters of (t, m, s)-nets
2. Optimal polynomials for (t, m, s)-nets and numerical integration of multivariate Walsh series
3. Digital nets and sequences constructed over finite rings and their application to quasi-Monte Carlo integration
4. Base change problems for generalized Walsh series and multivariate numerical integration
5. "Introduction to Finite Fields and Their Applications"
6. Point sets and sequences with small discrepancy
7. Low-discrepancy point sets obtained by digital constructions over finite fields
8. "Random Number Generation and Quasi-Monte Carlo Methods"
9. Constructions of (t, m, s)-nets
10. Nets, (t, s)-sequences, and algebraic geometry
11. Shift-nets: A new class of binary digital (t, m, s)-nets
12. The exact quality parameter of nets derived from Sobol' and Niederreiter sequences
13. Improvements and extensions of the "Salzburg Tables" by using irreducible polynomials
14. Projections of digital nets and sequences