Generalized optimal lattice covering of finite-dimensional Euclidean space

doi:10.1016/S0024-3795(98)10081-2

Linear Algebra and its Applications

Volume 282, Issues 1–3, 1 October 1998, Pages 311-324

https://doi.org/10.1016/S0024-3795(98)10081-2 Get rights and content

Under an Elsevier user license

open archive

Abstract

A generalization of the classical problem of optimal lattice covering of $R$ ⁿ in considered. Solutions to this generalized problem are found in two specific classes of lattices. The global optimal solution of the generalization is found for $R$ ².

Keywords

Lattice covering

Generalized norm

Voronoi cell

Cited by (0)

¹: Permanent address: Institute for Information Transmission Problems, Russian Academy of Sciences, 19 Bolshoi Karetny Lanc, GSP-4, 101447 Moscow, Russian Federation.