On self-dual double circulant codes
Information Theory
2016-03-03 v1 math.IT
Abstract
Self-dual double circulant codes of odd dimension are shown to be dihedral in even characteristic and consta-dihedral in odd characteristic. Exact counting formulae are derived for them and used to show they contain families of codes with relative distance satisfying a modified Gilbert-Varshamov bound.
Cite
@article{arxiv.1603.00762,
title = {On self-dual double circulant codes},
author = {Adel Alahmadi and Funda Özdemir and Patrick Solé},
journal= {arXiv preprint arXiv:1603.00762},
year = {2016}
}
Comments
8 pages