Cyclic Orbit Codes
Information Theory
2014-06-20 v1 math.IT
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.
Keywords
Cite
@article{arxiv.1112.1238,
title = {Cyclic Orbit Codes},
author = {Anna-Lena Trautmann and Felice Manganiello and Michael Braun and Joachim Rosenthal},
journal= {arXiv preprint arXiv:1112.1238},
year = {2014}
}
Comments
submitted to IEEE Transactions on Information Theory