On conjugacy classes of subgroups of the general linear group and cyclic orbit codes
arXiv:1102.3350 · doi:10.1109/ISIT.2011.6033885
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.
5 pages; Submitted to IEEE International Symposium on Information Theory (ISIT) 2011