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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
and
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
article number
4557182
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
2022-01-31 22:50:28
@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}},
  booktitle    = {{Proceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007}},
  isbn         = {{1424414296}},
  language     = {{eng}},
  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}},
  doi          = {{10.1109/ISIT.2007.4557182}},
  year         = {{2007}},
}