A Complete Characterization of Irreducible Cyclic Orbit Codes

Details A Complete Characterization of Irreducible Cyclic Orbit Codes A Complete Characterization of Irreducible Cyclic Orbit Codes

2011-02-15

arxiv.org/abs/1102.3167v4

Computer Science

Information Theory

in Proceedings of The Seventh International Workshop on Coding and Cryptography 2011 April 11-15 2011, Paris, France

Scientific paper

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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