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In this paper we analyze the performances of multicast transmission in networks using random network coding. With network coding, the intermediate nodes combine the input packets into one or several output packets, instead of simply forwarding the packets as in the case of classical routing. The problem of network code design is to select what linear combination of input packets is used by each node...
We demonstrate that the gain attained by network coding (NC) on the multicast capacity of random wireless ad hoc networks is bounded by a constant factor. We consider a network with n nodes distributed uniformly in a unit square, with each node acting as a source for independent information to be sent to a multicast group consisting of m randomly chosen destinations. We show that, under the protocol...
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