Generalized low-density (GLD) lattices

Joseph Boutros, Nicola Di Pietro, Nour Basha

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Citations (Scopus)

Abstract

We propose the construction of a new family of lattice sphere packings. Given a small-dimensional lattice, we start by building a first lattice in a large dimension by the direct sum of the small lattice. Then, the coordinates of the first large lattice are permuted to yield a second large-dimensional lattice. Finally, our generalized low-density (GLD) lattice is the intersection of the first and the second lattice. We restrict our construction in this paper to integer lattices. GLD lattices are the result of mixing classical lattice theory with modern coding theory. They are potential candidates not only for channel coding as coded modulations, but also for physical-layer network coding and for secure digital communications.

Original languageEnglish
Title of host publication2014 IEEE Information Theory Workshop, ITW 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages15-19
Number of pages5
ISBN (Electronic)9781479959990
DOIs
Publication statusPublished - 1 Jan 2014
Event2014 IEEE Information Theory Workshop, ITW 2014 - Hobart, Australia
Duration: 2 Nov 20145 Nov 2014

Other

Other2014 IEEE Information Theory Workshop, ITW 2014
CountryAustralia
CityHobart
Period2/11/145/11/14

Fingerprint

Lattice theory
Channel coding
Network coding
Modulation
Communication

ASJC Scopus subject areas

  • Information Systems
  • Computer Networks and Communications

Cite this

Boutros, J., Di Pietro, N., & Basha, N. (2014). Generalized low-density (GLD) lattices. In 2014 IEEE Information Theory Workshop, ITW 2014 (pp. 15-19). [6970783] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ITW.2014.6970783

Generalized low-density (GLD) lattices. / Boutros, Joseph; Di Pietro, Nicola; Basha, Nour.

2014 IEEE Information Theory Workshop, ITW 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 15-19 6970783.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Boutros, J, Di Pietro, N & Basha, N 2014, Generalized low-density (GLD) lattices. in 2014 IEEE Information Theory Workshop, ITW 2014., 6970783, Institute of Electrical and Electronics Engineers Inc., pp. 15-19, 2014 IEEE Information Theory Workshop, ITW 2014, Hobart, Australia, 2/11/14. https://doi.org/10.1109/ITW.2014.6970783
Boutros J, Di Pietro N, Basha N. Generalized low-density (GLD) lattices. In 2014 IEEE Information Theory Workshop, ITW 2014. Institute of Electrical and Electronics Engineers Inc. 2014. p. 15-19. 6970783 https://doi.org/10.1109/ITW.2014.6970783
Boutros, Joseph ; Di Pietro, Nicola ; Basha, Nour. / Generalized low-density (GLD) lattices. 2014 IEEE Information Theory Workshop, ITW 2014. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 15-19
@inproceedings{404e167c30fb4fada3e6c517f0a1a0e2,
title = "Generalized low-density (GLD) lattices",
abstract = "We propose the construction of a new family of lattice sphere packings. Given a small-dimensional lattice, we start by building a first lattice in a large dimension by the direct sum of the small lattice. Then, the coordinates of the first large lattice are permuted to yield a second large-dimensional lattice. Finally, our generalized low-density (GLD) lattice is the intersection of the first and the second lattice. We restrict our construction in this paper to integer lattices. GLD lattices are the result of mixing classical lattice theory with modern coding theory. They are potential candidates not only for channel coding as coded modulations, but also for physical-layer network coding and for secure digital communications.",
author = "Joseph Boutros and {Di Pietro}, Nicola and Nour Basha",
year = "2014",
month = "1",
day = "1",
doi = "10.1109/ITW.2014.6970783",
language = "English",
pages = "15--19",
booktitle = "2014 IEEE Information Theory Workshop, ITW 2014",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - GEN

T1 - Generalized low-density (GLD) lattices

AU - Boutros, Joseph

AU - Di Pietro, Nicola

AU - Basha, Nour

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We propose the construction of a new family of lattice sphere packings. Given a small-dimensional lattice, we start by building a first lattice in a large dimension by the direct sum of the small lattice. Then, the coordinates of the first large lattice are permuted to yield a second large-dimensional lattice. Finally, our generalized low-density (GLD) lattice is the intersection of the first and the second lattice. We restrict our construction in this paper to integer lattices. GLD lattices are the result of mixing classical lattice theory with modern coding theory. They are potential candidates not only for channel coding as coded modulations, but also for physical-layer network coding and for secure digital communications.

AB - We propose the construction of a new family of lattice sphere packings. Given a small-dimensional lattice, we start by building a first lattice in a large dimension by the direct sum of the small lattice. Then, the coordinates of the first large lattice are permuted to yield a second large-dimensional lattice. Finally, our generalized low-density (GLD) lattice is the intersection of the first and the second lattice. We restrict our construction in this paper to integer lattices. GLD lattices are the result of mixing classical lattice theory with modern coding theory. They are potential candidates not only for channel coding as coded modulations, but also for physical-layer network coding and for secure digital communications.

UR - http://www.scopus.com/inward/record.url?scp=84929338332&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84929338332&partnerID=8YFLogxK

U2 - 10.1109/ITW.2014.6970783

DO - 10.1109/ITW.2014.6970783

M3 - Conference contribution

AN - SCOPUS:84929338332

SP - 15

EP - 19

BT - 2014 IEEE Information Theory Workshop, ITW 2014

PB - Institute of Electrical and Electronics Engineers Inc.

ER -