On conjugacy classes of subgroups of the general linear group and cyclic orbit codes
classification
💻 cs.IT
math.IT
keywords
codescycliclinearorbitclassesconjugacyfamilygeneral
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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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