On conjugacy classes of subgroups of the general linear group and cyclic orbit codes

Felice Manganiello, Anna-Lena Trautmann, Joachim Rosenthal
2011 2011 IEEE International Symposium on Information Theory Proceedings  
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.
doi:10.1109/isit.2011.6033885 dblp:conf/isit/ManganielloTR11 fatcat:q67oir42yngonfi3i7kesayatu