A Complete Characterization of Irreducible Cyclic Orbit Codes
  We give a complete list of orbit codes that are generated by an irreducible cyclic group, i.e. an irreducible group having one generator. We derive some of the basic properties of these codes such as the cardinality and the minimum distance. 
Anna-Lena Trautmann and Joachim Rosenthal
cs.IT math.IT