Orbit Codes - A New Concept in the Area of Network Coding

We introduce a new class of constant dimension codes called orbit codes. The basic properties of these codes are derived. It will be shown that many of the known families of constant dimension codes in the literature are actually orbit codes. DOI: https://doi.org/10.1109/CIG.2010.5592788 Posted at the Zurich Open Repository and Archive, University of Zurich ZORA URL: https://doi.org/10.5167/uzh-42523 Originally published at: Trautmann, A L; Manganiello, F; Rosenthal, J (2010). Orbit codes — A new concept in the area of network coding. In: Greferath, M; Rosenthal, J. Information Theory Workshop (ITW), 2010 IEEE. Dublin: IEEE, 1-4. DOI: https://doi.org/10.1109/CIG.2010.5592788 2010 IEEE Information Theory Workshop ITW 2010 Dublin Orbit Codes A New Concept in the Area of Network Coding Anna-Lena Trautmann, Felice Manganiello, and Joachim Rosenthal Institute of Mathematics University of Zurich Winterthurerstrasse 190 CH-8057 Zurich, Switzerland http://www.math.uzh.ch/aa Abstract—We introduce a new class of constant dimension codes called orbit codes. The basic properties of these codes are derived. It will be shown that many of the known families of constant dimension codes in the literature are actually orbit codes.