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A Complete Characterization of Irreducible Cyclic Orbit Codes

Anna-Lena Trautmann, Joachim Rosenthal

arXiv, 2011

Abstract

We give a complete list of orbit codes that are generated by an irreducible cyclic group, i.e. an irreducible group having one generator. We derive some of the basic properties of these codes such as the cardinality and the minimum distance.

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