OPTIMAL POLYNOMIALS FOR (T,M,S)-NETS AND NUMERICAL-INTEGRATION OF MULTIVARIATE WALSH-SERIES

Existence theorems for good parameters in a construction of low-discre pancy point sets based on rational functions over finite fields are pr oved. A special class of these point sets is introduced and good param eters in the construction of these special point sets are tabulated. I n this way, point sets in the s-dimensional unit cube for 3 less than or equal to s less than or equal to 15 are obtained with very small di screpancy. These special point sets yield excellent numerical results when applied to the quasi-Monte Carlo integration of multivariate Wals h series.