D-DIMENSIONAL HYPERCUBES AND THE EULER AND MACNEISH CONJECTURES

Authors
LAYWINE CF MULLEN GL WHITTLE G
Citation
Cf. Laywine et al., D-DIMENSIONAL HYPERCUBES AND THE EULER AND MACNEISH CONJECTURES, Monatshefte fuer Mathematik, 119(3), 1995, pp. 223-238
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Monatshefte fuer Mathematik → ACNP
ISSN journal
00269255
Volume
119
Issue
3
Year of publication
1995
Pages
223 - 238
Database
ISI
SICI code
0026-9255(1995)119:3<223:DHATEA>2.0.ZU;2-3
Abstract
We give a construction for large sets of mutually orthogonal hypercube s of dimensional d given sets of mutually orthogonal latin squares and hypercubes of lower dimension. We also consider d greater than or equ al to 2 dimensional versions of the Euler and MacNeish conjectures as well as discussing applications to improved constructions of (t, m, s) -nets, useful in pseudorandom number generation and quasi-Monte-Carlo methods of numerical integration.