Improvements and Extensions of the “Salzburg Tables” by Using Irreducible Polynomials

Author:

Schmid Wolfgang Ch.

Publisher

Springer Berlin Heidelberg

Reference10 articles.

1. A. T. Clayman, K. M. Lawrence, G. L. Mullen, H. Niederreiter, and N. J. A. Sloane. Updated tables of parameters of (£, ra, s)-nets. To appear in: J. Comb. Designs, 1999.

2. T. Hansen, G. L. Mullen, and H. Niederreiter. Good parameters for a class of node sets in quasi-Monte Carlo integration.Math. Comp.,61: 225–234, 1993.

3. G. Larcher, A. Lauß, H. Niederreiter, and W. Ch. Schmid. Optimal polynomials for (t, ra, s)-nets and numerical integration of multivariate Walsh series.SIAM J. Numer. Analysis,33: 2239–2253, 1996.

4. 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: 231–253, 1996.

5. G. Larcher, W. Ch. Schmid, and R. Wolf. Digital (t, ra, s)-nets, digital (T, s)-sequences, and numerical integration of multivariate Walsh series. In P. Hellekalek, G. Larcher, and P. Zinterhof, editors,Proceedings of the 1st Salzburg Minisymposium on Pseudorandom Number Generation and Quasi-Monte Carlo Methods, Salzburg, Nov. 18, 1994, volume 95–4 of Technical Report Series, pages 75–107. ACPC-Austrian Center for Parallel Computation, 1995.

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