Duality for digital sequences

DOI10.1016/j.jco.2009.06.004zbMath1181.11049OpenAlexW2166008912MaRDI QIDQ731970

Josef Dick, Harald Niederreiter

Publication date: 9 October 2009

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2009.06.004

zbMATH Keywords

duality theory\((t, m, s)\)-nets and \((t, s)\)-sequences over finite fieldsdual space chainsequences of Niederreiter and Xing

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical analysis or methods applied to Markov chains (65C40) Random number generation in numerical analysis (65C10) Irregularities of distribution, discrepancy (11K38) Well-distributed sequences and other variations (11K36) Special sequences (11K31)

Related Items (1)

On the existence and distribution quality of hyperplane sequences

Uses Software

• MinT

Cites Work

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• Point sets and sequences with small discrepancy
• Matrix-product constructions of digital nets
• Algebraic function fields and codes
• Low-discrepancy sequences and global function fields with many rational places
• Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces
• Constructions of \((t,m,s)\)-nets and \((t,s)\)-sequences
• Duality for digital nets and its applications
• Nets, (t, s)-Sequences, and Codes
• Constructions of digital nets using global function fields
• Coding‐theoretic constructions for (t,m,s)‐nets and ordered orthogonal arrays
• Low-discrepancy sequences using duality and global function fields
• Cyclic Digital Nets, Hyperplane Nets, and Multivariate Integration in Sobolev Spaces
• MinT: A Database for Optimal Net Parameters

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