Generalized Hofer-Niederreiter sequences and their discrepancy from an \((\boldsymbol{U}, \boldsymbol{e}, s)\)-point of view

DOI10.1016/j.jco.2014.10.002zbMath1388.11053OpenAlexW2032620640MaRDI QIDQ2254685

Roswitha Hofer

Publication date: 6 February 2015

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

Full work available at URL: https://doi.org/10.1016/j.jco.2014.10.002

zbMATH Keywords

global function fieldlow-discrepancy sequencesgenerating matricesdigital sequences

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Irregularities of distribution, discrepancy (11K38)

Related Items

Mixed orthogonal arrays, \((u,m,\mathbf{e},s)\)-nets, and \((u,\mathbf{e},s)\)-sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New star discrepancy bounds for \((t,m,s)\)-nets and \((t,s)\)-sequences
• Point sets and sequences with small discrepancy
• Low-discrepancy and low-dispersion sequences
• Low-discrepancy sequences and global function fields with many rational places
• A construction of \((t,s)\)-sequences with finite-row generating matrices using global function fields
• On the discrepancy of generalized Niederreiter sequences
• A variant of Atanassov's method for \((t, s)\)-sequences and \((t, \mathbf{e}, s)\)-sequences
• Algebraic Function Fields and Codes
• Discrépance de suites associées à un système de numération (en dimension s)
• Generalized (t, s)-Sequences, Kronecker-Type Sequences, and Diophantine Approximations of Formal Laurent Series
• A construction of low-discrepancy sequences using global function fields
• Polynomial arithmetic analogue of Halton sequences
• Vandermonde nets
• Low-discrepancy sequences using duality and global function fields