Cube Tilings of R sup n and Nonlinear Codes
01 January 1992
Families of non-lattice tilings of R sup 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 common face dimension exceeding n - 1/3 sqrt n.