On conjugacy classes of subgroups of the general linear group and cyclic   orbit codes
  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. 
Felice Manganiello, Anna-Lena Trautmann and Joachim Rosenthal
cs.IT math.IT