H. Martini; W. Wenzel : On lattices, frames and n-cubes

Author(s) :

H. Martini; W. Wenzel

Title :

On lattices, frames and n-cubes

Preprint series

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 99-9, 1999

Mathematics Subject Classification :

11T99 [ Finite fields and commutative rings (number-theoretic aspects) ]

51E22 [ Linear codes and caps in Galois spaces ]

52C07 [ Lattices and convex bodies in n dimensions ]

52C17 [ Packing and covering in n dimensions (discrete geometry) ]

94B99 [ Theory of error-correcting codes ]

Abstract :

Let W denote the set of lattice points in a given n-cube embedded in Euclidean n-space. We study coverings of this lattice by hamming spheres of radius one.

Keywords :

covering, Hamming distance, Hamming sphere, linear codes, n-cube, prime power

Language :

english

Publication time :

9/1999