On self-dual four circulant codes
Information Theory
2017-09-25 v1 math.IT
Abstract
Four circulant codes form a special class of -generator, index , quasi-cyclic codes. Under some conditions on their generator matrices they can be shown to be self-dual. Artin primitive root conjecture shows the existence of an infinite subclass of these codes satisfying a modified Gilbert-Varshamov bound.
Keywords
Cite
@article{arxiv.1709.07548,
title = {On self-dual four circulant codes},
author = {Minjia Shi and Hongwei Zhu and Patrick Sole},
journal= {arXiv preprint arXiv:1709.07548},
year = {2017}
}
Comments
Submitted on 29 May