A note on the injection distance

Stanislav Bulygin, Hans Olav Geil, Diego Ruano Benito

Publikation: AndetUdgivelser på nettet - Net-publikationForskning


Koetter and Kschischang showed in [R. Koetter and F.R. Kschischang, "Coding for Errors and Erasures in Random Network Coding," IEEE Trans. Inform. Theory, {54(8), 2008] that the network coding counterpart of Gabidulin codes performs asymptotically optimal with respect to the subspace distance. Recently, Silva and Kschischang introduced in [D. Silva and F.R. Kschischang, "On Metrics for Error Correction in Network Coding," To appear in IEEE Trans. Inform. Theory, ArXiv: 0805.3824v4[cs.IT], 2009] the injection distance to give a detailed picture of what happens in noncoherent network coding. We show that the above codes are also asymptotically optimal with respect to this distance.
Publikationsdato9 dec. 2009
StatusUdgivet - 9 dec. 2009

Bibliografisk note

Senest ændret: 09/12/2009


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