On self-dual double negacirculant codes
Information Theory
2016-06-03 v1 math.IT
Abstract
Double negacirculant (DN) codes are the analogues in odd characteristic of double circulant codes. Self-dual DN codes of odd dimension are shown to be consta-dihedral. Exact counting formulae are derived for DN codes. The special class of length a power of two is studied by means of Dickson polynomials, and is shown to contain families of codes with relative distances satisfying a modified Gilbert-Varshamov bound.
Cite
@article{arxiv.1606.00815,
title = {On self-dual double negacirculant codes},
author = {Adel Alahmadi and Hatoon Shohaib and Patrick Solé},
journal= {arXiv preprint arXiv:1606.00815},
year = {2016}
}
Comments
1O pages