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On the Gilbert-Varshamov distance of abelian group codes

Como, Giacomo LU and Fagnani, Fabio (2007) 2007 IEEE International Symposium on Information Theory, ISIT 2007 p.2651-2655
Abstract

The problem of the minimum Bhattacharyya distance of group codes over symmetric channels is addressed. Ensembles of ℤm-linear codes are introduced and their typical minimum distance characterized in terms of the Gilbert-Varshamov distances associated to the subgroups of ℤm. For the AWGN channel with 8-PSK as input it is shown that the typical ℤ8 -linear code achieves the Gilbert-Varshamov bound.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Proceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007
pages
5 pages
conference name
2007 IEEE International Symposium on Information Theory, ISIT 2007
conference location
Nice, France
conference dates
2007-06-24 - 2007-06-29
external identifiers
  • scopus:51649099247
ISBN
1424414296
9781424414291
DOI
10.1109/ISIT.2007.4557182
language
English
LU publication?
yes
id
6a2567e4-0002-4462-90cc-906cd12ac93a
date added to LUP
2019-06-29 16:00:38
date last changed
2019-08-16 14:03:09
@inproceedings{6a2567e4-0002-4462-90cc-906cd12ac93a,
  abstract     = {<p>The problem of the minimum Bhattacharyya distance of group codes over symmetric channels is addressed. Ensembles of ℤ<sub>m</sub>-linear codes are introduced and their typical minimum distance characterized in terms of the Gilbert-Varshamov distances associated to the subgroups of ℤ<sub>m</sub>. For the AWGN channel with 8-PSK as input it is shown that the typical ℤ<sub>8</sub> -linear code achieves the Gilbert-Varshamov bound.</p>},
  author       = {Como, Giacomo and Fagnani, Fabio},
  isbn         = {1424414296},
  language     = {eng},
  location     = {Nice, France},
  month        = {12},
  pages        = {2651--2655},
  title        = {On the Gilbert-Varshamov distance of abelian group codes},
  url          = {http://dx.doi.org/10.1109/ISIT.2007.4557182},
  year         = {2007},
}