Lattices and Applications

Sueli I.R. Costa; Frédérique Oggier; Antonio Campello; Jean Claude Belfiore; Emanuele Viterbo

doi:10.1007/978-3-319-67882-5_2

Lattices and Applications

Sueli I.R. Costa^*
, Frédérique Oggier
, Antonio Campello
, Jean Claude Belfiore
, Emanuele Viterbo

^*Corresponding author for this work

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

A lattice in ℝⁿ is a set of points (vectors) composed by all integer linear combinations of independent vectors.

Original language	English
Title of host publication	SpringerBriefs in Mathematics
Publisher	Springer Science and Business Media B.V.
Pages	5-36
Number of pages	32
DOIs	https://doi.org/10.1007/978-3-319-67882-5_2
Publication status	Published - 2017

Publication series

Name	SpringerBriefs in Mathematics
ISSN (Print)	2191-8198
ISSN (Electronic)	2191-8201

Bibliographical note

Publisher Copyright:
© 2017, The Author(s).

Keywords

Closest Lattice Point
Fundamental Parallelotope
Integer Linear Combination
Packing Radius
Voronoi Region

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-3-319-67882-5_2

Cite this

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title = "Lattices and Applications",

abstract = "A lattice in ℝn is a set of points (vectors) composed by all integer linear combinations of independent vectors.",

keywords = "Closest Lattice Point, Fundamental Parallelotope, Integer Linear Combination, Packing Radius, Voronoi Region",

author = "Costa, \{Sueli I.R.\} and Fr{\'e}d{\'e}rique Oggier and Antonio Campello and Belfiore, \{Jean Claude\} and Emanuele Viterbo",

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T1 - Lattices and Applications

AU - Costa, Sueli I.R.

AU - Oggier, Frédérique

AU - Campello, Antonio

AU - Belfiore, Jean Claude

AU - Viterbo, Emanuele

PY - 2017

Y1 - 2017

N2 - A lattice in ℝn is a set of points (vectors) composed by all integer linear combinations of independent vectors.

AB - A lattice in ℝn is a set of points (vectors) composed by all integer linear combinations of independent vectors.

KW - Closest Lattice Point

KW - Fundamental Parallelotope

KW - Integer Linear Combination

KW - Packing Radius

KW - Voronoi Region

UR - https://www.scopus.com/pages/publications/85101146038

U2 - 10.1007/978-3-319-67882-5_2

DO - 10.1007/978-3-319-67882-5_2

M3 - Chapter

AN - SCOPUS:85101146038

T3 - SpringerBriefs in Mathematics

SP - 5

EP - 36

BT - SpringerBriefs in Mathematics

PB - Springer Science and Business Media B.V.

ER -

Lattices and Applications

Abstract

Publication series

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this