A Note on the Injection Distance

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Executive Summary

Kotter and Kschischang showed in that the network coding counterpart of Gabidulin codes performs asymptotically optimal with respect to the subspace distance. Recently, Silva and Kschischang introduced in the injection distance to give a detailed picture of what happens in noncoherent network coding. The authors show that the above codes are also asymptotically optimal with respect to this distance. The concept of error correction in linear network coding was introduced by Cai and Yeung in. The scenario considered there is known as coherent network coding meaning that the network topology as well as the linear network code are assumed to be known both to the sender and to the receivers.

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