Random Network Coding over Composite Fields
Random network coding is a method that achieves multicast capacity asymptotically for general networks [1, 7]. In this approach, vertices in the network randomly and linearly combine incoming information in a distributed manner before forwarding it through their outgoing edges. To ensure success, the involved finite field needs to be large enough [2, 7], which can be an obstacle if some inner (intermediate) nodes have less computational power than others. In this work, we analyze what can be achieved if different nodes are allowed to use different finite fields from a selection of fields all contained in some composite extension finite field [3, 5].
KeywordsComposite fields Random network coding Success probability
The first listed author gratefully acknowledge the support from The Danish Council for Independent Research (Grant No. DFF–4002-00367). The second listed author acknowledges the support of the TuneSCode project (Grant No. DFF - 1335-00125) granted by the Danish Council for Independent Research and by the Cisco University Research Program Fund (Project CG No. 593761), Gift No. 2015-146035 (3696).
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