Double Circulant Self-dual Codes on Sextic Cyclotomy
Information Theory
2020-06-16 v1 math.IT
Abstract
This paper contributes to construct double circulant self-dual codes by sextic cyclotomy. Generator matrixes of a family of pure double circulant codes and a family of double circulant codes with boundary are formed from sextic cyclotomic classes. These codes are proved to be self-dual on certain conditions. Moreover, experiments show that some of them are optimal self-dual codes or best than ever codes over GF}(2) and GF}(4).
Cite
@article{arxiv.2006.07768,
title = {Double Circulant Self-dual Codes on Sextic Cyclotomy},
author = {Tongjiang Yan and Tao Wang and Wenpeng Gao and Xvbo Zhao},
journal= {arXiv preprint arXiv:2006.07768},
year = {2020}
}
Comments
13pages,4 tables