DocumentCode
3505674
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
fYear
2011
fDate
July 31 2011-Aug. 5 2011
Firstpage
1916
Lastpage
1920
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory Proceedings (ISIT), 2011 IEEE International Symposium on
Conference_Location
St. Petersburg
ISSN
2157-8095
Print_ISBN
978-1-4577-0596-0
Electronic_ISBN
2157-8095
Type
conf
DOI
10.1109/ISIT.2011.6033885
Filename
6033885
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