Title :
On the Gilbert-Varshamov distance of Abelian group codes
Author :
Como, G. ; Fagnani, F.
Author_Institution :
Politec. di Torino, Torino
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.
Keywords :
group codes; linear codes; AWGN channel; Abelian group codes; Gilbert-Varshamov distance; minimum Bhattacharyya distance; AWGN channels; Binary codes; Capacity planning; Entropy; Equations; Error probability; Euclidean distance; Hamming distance; Linear code; Memoryless systems;
Conference_Titel :
Information Theory, 2007. ISIT 2007. IEEE International Symposium on
Conference_Location :
Nice
Print_ISBN :
978-1-4244-1397-3
DOI :
10.1109/ISIT.2007.4557182
