Title :
On conjugacy classes of subgroups of the general linear group and cyclic orbit codes
Author :
Manganiello, Felice ; Trautmann, Anna Lena ; Rosenthal, Joachim
Author_Institution :
Inst. of Math., Univ. of Zurich, Zurich, Switzerland
fDate :
July 31 2011-Aug. 5 2011
Abstract :
Orbit codes are a family of codes applicable 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 :
cyclic codes; group codes; linear codes; network coding; random codes; conjugacy classes; cyclic orbit codes; cyclic subgroups; general linear group codes; random linear network coding channel; Bismuth; Educational institutions; Generators; Network coding; Orbits; Polynomials;
Conference_Titel :
Information Theory Proceedings (ISIT), 2011 IEEE International Symposium on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4577-0596-0
Electronic_ISBN :
2157-8095
DOI :
10.1109/ISIT.2011.6033885
