Abstract | ||
---|---|---|
Based on ideas of K\"otter and Kschischang we use constant dimension
subspaces as codewords in a network. We show a connection to the theory of
q-analogues of a combinatorial designs, which has been studied in Braun, Kerber
and Laue as a purely combinatorial object. For the construction of network
codes we successfully modified methods (construction with prescribed
automorphisms) originally developed for the q-analogues of a combinatorial
designs. We then give a special case of that method which allows the
construction of network codes with a very large ambient space and we also show
how to decode such codes with a very small number of operations. |
Year | Venue | Keywords |
---|---|---|
2010 | Clinical Orthopaedics and Related Research | information theory,network coding,combinatorial design |
Field | DocType | Volume |
Linear network coding,Ambient space,Discrete mathematics,Vector space,Combinatorics,Subspace topology,Block code,Linear subspace,Linear code,Decoding methods,Mathematics | Journal | abs/1005.2 |
Citations | PageRank | References |
5 | 0.59 | 6 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Andreas-Stephan Elsenhans | 1 | 19 | 6.94 |
Axel Kohnert | 2 | 114 | 12.60 |
Alfred Wassermann | 3 | 125 | 23.33 |