Generalized optimal lattice covering of finite-dimensional Euclidean space

Darryn Bryant; Phil Diamond; Igor Vladimirov

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

Generalized optimal lattice covering of finite-dimensional Euclidean space

Darryn Bryant
, Phil Diamond^*
, Igor Vladimirov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

A generalization of the classical problem of optimal lattice covering of ℝⁿ is considered. Solutions to this generalized problem are found in two specific classes of lattices. The global optimal solution of the generalization is found for ℝ².

Original language	English
Pages (from-to)	311-324
Number of pages	14
Journal	Linear Algebra and Its Applications
Volume	282
Issue number	1-3
DOIs	https://doi.org/10.1016/S0024-3795(98)10081-2
Publication status	Published - 1 Oct 1998
Externally published	Yes

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@article{456775a523f44164bf40f1cbcd7396e3,

title = "Generalized optimal lattice covering of finite-dimensional Euclidean space",

abstract = "A generalization of the classical problem of optimal lattice covering of ℝn is considered. Solutions to this generalized problem are found in two specific classes of lattices. The global optimal solution of the generalization is found for ℝ2.",

keywords = "Generalized norm, Lattice covering, Voronoi cell",

author = "Darryn Bryant and Phil Diamond and Igor Vladimirov",

year = "1998",

month = oct,

day = "1",

doi = "10.1016/S0024-3795(98)10081-2",

language = "English",

volume = "282",

pages = "311--324",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

number = "1-3",

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T1 - Generalized optimal lattice covering of finite-dimensional Euclidean space

AU - Bryant, Darryn

AU - Diamond, Phil

AU - Vladimirov, Igor

PY - 1998/10/1

Y1 - 1998/10/1

N2 - A generalization of the classical problem of optimal lattice covering of ℝn is considered. Solutions to this generalized problem are found in two specific classes of lattices. The global optimal solution of the generalization is found for ℝ2.

AB - A generalization of the classical problem of optimal lattice covering of ℝn is considered. Solutions to this generalized problem are found in two specific classes of lattices. The global optimal solution of the generalization is found for ℝ2.

KW - Generalized norm

KW - Lattice covering

KW - Voronoi cell

UR - https://www.scopus.com/pages/publications/0042638154

U2 - 10.1016/S0024-3795(98)10081-2

DO - 10.1016/S0024-3795(98)10081-2

M3 - Article

AN - SCOPUS:0042638154

SN - 0024-3795

VL - 282

SP - 311

EP - 324

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

Generalized optimal lattice covering of finite-dimensional Euclidean space

Abstract

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