An Equivalence between Network Coding and Index Coding
The authors show that the network coding and index coding problems are equivalent. This equivalence holds in the general setting which includes linear and non-linear codes. Specifically, they present an efficient reduction that maps a network coding instance to an index coding one while preserving feasibility. Previous connections were restricted to the linear case. In the network coding paradigm, a set of source nodes transmits information to a set of terminal nodes over a network while internal nodes of the network may mix received information before forwarding it.