Double Circulant Self-Dual Codes From Generalized Cyclotomic Classes of Order Two
Information Theory
2019-12-16 v2 math.IT
Abstract
In this paper, constructions of some double circulant self-dual codes by generalized cyclotomic classes of order two are presented. This technique is applied to [72, 36, 12] binary highest know self-dual codes to obtain self-dual codes over GF(2) and [32, 16, 8] almost optimal self-dual codes over GF(4). Based on the properties of generalized cyclotomy, some of these codes can be proved to possess good minimum weights.
Cite
@article{arxiv.1911.06130,
title = {Double Circulant Self-Dual Codes From Generalized Cyclotomic Classes of Order Two},
author = {Wenpeng Gao and Tongjiang Yan},
journal= {arXiv preprint arXiv:1911.06130},
year = {2019}
}