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Note that network coding allows immediate nodes to mix information from different data flows. On the basis of this observation, we prove that under suitable conditions, communicators can communicate with perfect secrecy over wiretap networks. Our method of secure communication over wiretap networks without keys is fundamentally distinct from cryptographic means. Furthermore, a linear network code...
Erasure coding techniques are used to increase the reliability of distributed storage systems while minimizing storage overhead. Also of interest is minimization of the bandwidth required to repair the system following a node failure. In a recent paper, Wu et al. characterize the tradeoff between the repair bandwidth and the amount of data stored per node. They also prove the existence of regenerating...
We study network error correction with unequal link capacities. Previous results on network error correction assume unit link capacities. We consider network error correction codes that can correct arbitrary errors occurring on up to z links. We find the capacity of a network consisting of parallel links, and a generalized Singleton outer bound for any arbitrary network. We show by example that linear...
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