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

Electrical and Computer Systems Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter (Book) › Research › peer-review

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	Lattices Applied to Coding for Reliable and Secure Communications
Editors	Sueli I.R. Costa, Frederique Oggier, Antonio Campello, Jean-Claude Belfiore, Emanuele Viterbo
Place of Publication	Cham, Switzerland
Publisher	Springer
Chapter	2
Pages	5-36
Number of pages	32
Edition	1st
ISBN (Electronic)	9783319678825
ISBN (Print)	9783319678818
DOIs	https://doi.org/10.1007/978-3-319-67882-5_2
Publication status	Published - 2017

Publication series

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

Keywords

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

Access to Document

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

Cite this

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Lattices and Applications. / Costa, Sueli I.R.; Oggier, Frédérique; Campello, Antonio et al.
Lattices Applied to Coding for Reliable and Secure Communications. ed. / Sueli I.R. Costa; Frederique Oggier; Antonio Campello; Jean-Claude Belfiore; Emanuele Viterbo. 1st. ed. Cham, Switzerland: Springer, 2017. p. 5-36 (SpringerBriefs in Mathematics).

Research output: Chapter in Book/Report/Conference proceeding › Chapter (Book) › Research › peer-review

TY - CHAP

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

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

M3 - Chapter (Book)

AN - SCOPUS:85101146038

SN - 9783319678818

T3 - SpringerBriefs in Mathematics

SP - 5

EP - 36

BT - Lattices Applied to Coding for Reliable and Secure Communications

A2 - I.R. Costa, Sueli

A2 - Oggier, Frederique

A2 - Campello, Antonio

A2 - Belfiore, Jean-Claude

A2 - Viterbo, Emanuele

PB - Springer

CY - Cham, Switzerland

ER -

Lattices and Applications

Abstract

Publication series

Keywords

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