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arXiv · 1102.3350

On conjugacy classes of subgroups of the general linear group and cyclic orbit codes

Felice Manganiello·Anna-Lena Trautmann·Joachim Rosenthal
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Abstract

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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Felice Manganiello, Anna-Lena Trautmann, Joachim Rosenthal. 2011-07-27. On conjugacy classes of subgroups of the general linear group and cyclic orbit codes. https://doi.org/10.1109/isit.2011.6033885

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