Publication: On conjugacy classes of subgroups of the general linear group and cyclic orbit codes
On conjugacy classes of subgroups of the general linear group and cyclic orbit codes
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Manganiello, F., Trautmann, A. L., & Rosenthal, J. (2011). On conjugacy classes of subgroups of the general linear group and cyclic orbit codes. In IEEE (Ed.), IEEE International Symposium on Information Theory proceedings (ISIT), 2011 : July 31, 2011 - Aug. 5, 2011, St. Petersburg, Russia (pp. 1916–1920). IEEE. https://doi.org/10.1109/ISIT.2011.6033885
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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.
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Manganiello, F., Trautmann, A. L., & Rosenthal, J. (2011). On conjugacy classes of subgroups of the general linear group and cyclic orbit codes. In IEEE (Ed.), IEEE International Symposium on Information Theory proceedings (ISIT), 2011 : July 31, 2011 - Aug. 5, 2011, St. Petersburg, Russia (pp. 1916–1920). IEEE. https://doi.org/10.1109/ISIT.2011.6033885