Nets Constructed over Finite Fields and the Numerical Integration of Multivariate Walsh Series

Authors:
Gerhard Larcher;Reinhard Wolf
Affiliations:
Institut für Mathematik, Universität Salzburg, Hellbrunnerstaβe 34, A-5020, Salzburg, Austria;Institut für Mathematik, Universität Salzburg, Hellbrunnerstaβe 34, A-5020, Salzburg, Austria
Venue:
Finite Fields and Their Applications
Year:
1996

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Abstract

An essentially best possible estimate for the order of magnitude of the integration error occurring by numerically integrating multivariate Walsh series in a prime power basebby means of digital (t,m,s)-nets constructed over the finite field F"bis given.