Publication: A complete characterization of irreducible cyclic orbit codes and their Plücker embedding
A complete characterization of irreducible cyclic orbit codes and their Plücker embedding
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Rosenthal, J., & Trautmann, A. L. (2013). A complete characterization of irreducible cyclic orbit codes and their Plücker embedding. Designs, Codes and Cryptography, 66(1–3), 275–289. https://doi.org/10.1007/s10623-012-9691-5
Abstract
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Constant dimension codes are subsets of the finite Grassmann variety. The study of these codes is a central topic in random linear network coding theory. Orbit codes represent a subclass of constant dimension codes. They are defined as orbits of a subgroup of the general linear group on the Grassmannian. This paper gives a complete characterization of orbit codes that are generated by an irreducible cyclic group, i.e. a group having one generator that has no non-trivial invariant subspace. We show how some of the basic properties of t
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- Rosenthal, J
- Trautmann, A L
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Citations
Rosenthal, J., & Trautmann, A. L. (2013). A complete characterization of irreducible cyclic orbit codes and their Plücker embedding. Designs, Codes and Cryptography, 66(1–3), 275–289. https://doi.org/10.1007/s10623-012-9691-5
