𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Updated tables of parameters of (T, M, S)-nets

✍ Scribed by Andrew T. Clayman; K. Mark Lawrence; Gary L. Mullen; Harald Niederreiter; N.J.A. Sloane

Book ID
101296229
Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
181 KB
Volume
7
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

✦ Synopsis

We present an updated survey of the known constructions and bounds for (t, m, s)nets as well as tables of upper and lower bounds on their parameters for various bases.

πŸ“œ SIMILAR VOLUMES

The Microstructure of (t, m, s)-Nets
The Microstructure of (t, m, s)-Nets
✍ Harald Niederreiter; Gottlieb Pirsic πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 128 KB
A combinatorial characterization of (t,m
A combinatorial characterization of (t,m,s)-nets in base b
✍ K. Mark Lawrence πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 956 KB

We consider ( t , rn, s)-nets in base b, which were introduced by Niederreiter in 1987. These nets are highly uniform point distributions in s-dimensional unit cubes and have applications in the theory of numerical integration and pseudorandom number generation. A central question in their study is