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arXiv · 1112.1238

Cyclic Orbit Codes

Anna-Lena Trautmann·Felice Manganiello·Michael Braun·Joachim Rosenthal
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Abstract

In network coding a constant dimension code consists of a set of k-dimensional subspaces of F_q^n. Orbit codes are constant dimension codes which are defined as orbits of a subgroup of the general linear group, acting on the set of all subspaces of F_q^n. If the acting group is cyclic, the corresponding orbit codes are called cyclic orbit codes. In this paper we give a classification of cyclic orbit codes and propose a decoding procedure for a particular subclass of cyclic orbit codes.

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Anna-Lena Trautmann, Felice Manganiello, Michael Braun, Joachim Rosenthal. 2011-12-06. Cyclic Orbit Codes. https://doi.org/10.1109/tit.2013.2274266

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