Random coding bound for the second moment of multidimensional lattices
Boris D. Kudryashov, Kirill V. Yurkov · Problems of Information Transmission · 2007
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.