Title
Cube-Tilings of Rn and Nonlinear Codes
Abstract
Families of non-lattice tilings of R n by unit cubes are constructed. These tilings are specializations of certain families of nonlinear codes over GF( 2 ). These cube-tilings provide building blocks for the construction of cube-tilings such that no two cubes have a high-dimensional face in common. We construct cube-tilings of R n such that no two cubes have a common face of dimension exceeding n - 3 1 _ _ √+ + n .
Year
Venue
DocType
1994
Discrete and Computational Geometry
Journal
Volume
Citations 
PageRank 
11
5
2.24
References 
Authors
0
2
Name
Order
Citations
PageRank
J. C. Lagarias1563235.61
Peter W. Shor23821574.60