Duality for digital nets and its applications
From MaRDI portal
Publication:2717594
DOI10.4064/aa97-2-5zbMath0972.11066OpenAlexW2008009962MaRDI QIDQ2717594
Harald Niederreiter, Gottlieb Isabel Pirsic
Publication date: 17 June 2001
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/aa97-2-5
linear codesduality theory\((t,m,s)\)-netslow-discrepancy point setsdigital nets\(s\)-dimensional unit cube
Linear codes (general theory) (94B05) Irregularities of distribution, discrepancy (11K38) Pseudo-random numbers; Monte Carlo methods (11K45)
Related Items
QMC rules of arbitrary high order: Reproducing kernel Hilbert space approach ⋮ Discrepancy bounds for infinite-dimensional order two digital sequences over \(\mathbb F_2\) ⋮ Matrix-product constructions of digital nets ⋮ Approximation of quasi-Monte Carlo worst case error in weighted spaces of infinitely times smooth functions ⋮ Walsh Figure of Merit for Digital Nets: An Easy Measure for Higher Order Convergent QMC ⋮ Central limit theorem for \((t,s)\)-sequences in base 2 ⋮ Duality theory and propagation rules for higher order nets ⋮ Approximation of integration over finite groups, difference sets and association schemes ⋮ Improved bounds on the gain coefficients for digital nets in prime power base ⋮ A survey of some applications of finite fields ⋮ Extensible hyperplane nets ⋮ On the existence and distribution quality of hyperplane sequences ⋮ A note onm-weights of linear codes ⋮ Digital net properties of a polynomial analogue of Frolov's construction ⋮ A higher order Blokh-Zyablov propagation rule for higher order nets ⋮ Quasi-Monte Carlo methods with applications in finance ⋮ Duality theory and propagation rules for generalized digital nets ⋮ MinT-architecture and applications of the \((t, m, s)\)-net and OOA database ⋮ Comparison of Point Sets and Sequences for Quasi-Monte Carlo and for Random Number Generation ⋮ A multivariate fast discrete Walsh transform with an application to function interpolation ⋮ Duality for digital sequences ⋮ Constructions of \((t,m,s)\)-nets and \((t,s)\)-sequences ⋮ Lp- and Sp,qrB-discrepancy of (order 2) digital nets ⋮ Propagation rules for \((u, m, \mathbf{e}, s)\)-nets and \((u, \mathbf{e}, s)\)-sequences