This article is cited in 3 papers

Source Coding

Random Coding Bound for the Second Moment of Multidimensional Numerical Lattices

B. D. Kudryashov, K. V. Yurkov

Saint-Petersburg State University of Aerospace Instrumentation

Abstract: Efficiency of lattice quantization depends on the parameter of a lattice called the normalized second moment of the Voronoi polyhedron. We apply random-coding methods to study lattices generated by $q$-ary linear codes. We prove that in this class there are lattices with the normalized second moment close to the theoretically attainable limit.

UDC: 621.391.15

Received: 13.10.2006
Revised: 14.12.2006

 English version: Problems of Information Transmission, 2007, 43:1, 57–68

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