Bounds for the quality parameter of digital shift nets over ℤ2

Finite Fields and their Applications

Volumn 8, Issue 4, 2002, Pages 444-454

  Pillichshammer, Friedrich ^a  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

Bounds for the quality parameter; Digital (t, m, s) nets

Indexed keywords

EID: 0036814373     PISSN: 10715797     EISSN: None     Source Type: Journal    
DOI: 10.1006/ffta.2001.0352     Document Type: Article

References (8)

1. C. Hooley, On Artin's conjecture, J. Reine Angew. Math. 225 (1967), 209-220.
2. G. Larcher, A. Lauss, H. Niederreiter, and W. Ch. Schmid. Optimal polynomials for (t, m, s)-nets and numerical integration of multivariate Walsh series, SIAM J. Numer. Anal. 33 (1996), 2239-2253.
3. G. Larcher, H. Niederreiter, and W. Ch. Schmid, Digital nets and sequences constructed over finite rings and their application to quasi-Monte Carlo integration, Monatsh. Math. 121 (1996), 231-253.
4. R. Lidl and H. Niederreiter, "Introduction to Finite Fields and Their Applications," Cambridge Univ. Press, Cambridge, 1994.
5. H. Niederreiter. Point sets and sequences with small discrepancy, Monatsh. Math. 104 (1987), 273-337.
6. H. Niederreiter, "Random Number Generation and Quasi-Monte Carlo Methods," CBMS-NSF Series in Applied Mathematics, No. 63, SIAM, Philadelphia, 1992.
7. W. Ch. Schmid. Shift-nets: A new class of binary digital (t, m, s)-nets, in Monte Carlo and Quasi-Monte Carlo Methods 1996, H. Niederreiter et al., Eds., Lecture Notes in Statistics, Vol. 127, pp. 369-381, Springer, New York, 1997.
8. W. Ch. Schmid and R. Wolf, Bounds for digital nets and sequences, Acta Arith. 78 (1997), 377-399.