79 citations · 191 across the 19 of their papers we have counts for
4 papers · 1 filter
Cyclic Orbit Codes
Anna-Lena Trautmann, Felice Manganiello, Michael Braun +1
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 subgrou…
New Improvements on the Echelon-Ferrers Construction
Anna-Lena Trautmann, Joachim Rosenthal
We show how to improve the echelon-Ferrers construction of random network codes introduced by Etzion and Silberstein to attain codes of larger size for a given minimum distance.
On conjugacy classes of subgroups of the general linear group and cyclic orbit codes
Felice Manganiello, Anna-Lena Trautmann, Joachim Rosenthal
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 class…
A Complete Characterization of Irreducible Cyclic Orbit Codes
Anna-Lena Trautmann, Joachim Rosenthal
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…