scientific article; zbMATH DE number 1341370

DOI<381::AID-JCD7>3.0.CO;2-S 10.1002/(SICI)1520-6610(1999)7:5<381::AID-JCD7>3.0.CO;2-SzbMath0929.05011MaRDI QIDQ4262994

Gary L. Mullen, Harald Niederreiter, K. Mark Lawrence, N. J. A. Sloane, Andrew T. Clayman

Publication date: 11 January 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

orthogonal arrays\((t,m,s)\)-nets\((t,s)\)-sequences

Mathematics Subject Classification ID

Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (5)

Calculation of the quality parameter of digital nets and application to their construction ⋮ Some current issues in quasi-Monte Carlo methods ⋮ MinT-architecture and applications of the \((t, m, s)\)-net and OOA database ⋮ Constructions of nets via OAs of strength 3 with a prescribed property ⋮ Constructions of \((t,m,s)\)-nets and \((t,s)\)-sequences

Uses Software

• Maple
• AMPL
• CPLEX

Cites Work

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• Improved \((t,m,s)\)-net parameters from the Gilbert-Varshamov bound
• On the distribution of an analog to classical Kronecker-sequences
• On the numerical integration of high-dimensional Walsh-series by quasi-Monte Carlo methods
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• Combinatorial methods in the construction of point sets with uniformity properties
• Quasi-Monte-Carlo methods and the dispersion of point sequences
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• Quasi-Monte Carlo methods for the numerical integration of multivariate Walsh series
• An equivalence between \((T,M,S)\)-nets and strongly orthogonal hypercubes
• The mean square discrepancy of randomized nets
• Programs to generate Niederreiter's low-discrepancy sequences
• Bounds on orthogonal arrays and resilient functions
• A Construction for (t,m,s)-nets in Base q
• Monte Carlo Variance of Scrambled Net Quadrature
• A note on polynomial arithmetic analogue of Halton sequences
• Error bounds for quasi-Monte Carlo integration with nets
• Orthogonal Arrays, Resilient Functions, Error-Correcting Codes, and Linear Programming Bounds
• Optimal Polynomials for (T,M,S)-Nets and Numerical Integration of Multivariate Walsh Series

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