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Coding for Errors and Erasures in Random Network Coding

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2 Author(s)
Koetter, R. ; Inst. for Commun. Eng., Tech. Univ. Munich, Munich ; Kschischang, F.R.

The problem of error-control in a "noncoherent" random network coding channel is considered. Information transmission is modelled as the injection into the network of a basis for a vector space V and the collection by the receiver of a basis for a vector space U. A suitable coding metric on subspaces is defined, under which a minimum distance decoder achieves correct decoding if the dimension of the space V U is large enough. When the dimension of each codeword is restricted to a fixed integer, the code forms a subset of the vertices of the Grassmann graph. Sphere-packing, sphere-covering bounds and a Singleton bound are provided for such codes. A Reed-Solomon-like code construction is provided and decoding algorithm given.

Published in:

Information Theory, 2007. ISIT 2007. IEEE International Symposium on

Date of Conference:

24-29 June 2007

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