On conjugacy classes of subgroups of the general linear group and cyclic orbit codes
Information Theory
2014-06-20 v2 math.IT
Abstract
Orbit codes are a family of codes employable for communications on a random linear network coding channel. The paper focuses on the classification of these codes. We start by classifying the conjugacy classes of cyclic subgroups of the general linear group. As a result, we are able to focus the study of cyclic orbit codes to a restricted family of them.
Keywords
Cite
@article{arxiv.1102.3350,
title = {On conjugacy classes of subgroups of the general linear group and cyclic orbit codes},
author = {Felice Manganiello and Anna-Lena Trautmann and Joachim Rosenthal},
journal= {arXiv preprint arXiv:1102.3350},
year = {2014}
}
Comments
5 pages; Submitted to IEEE International Symposium on Information Theory (ISIT) 2011