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

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