A code equivalence between streaming network coding and streaming index coding

We consider a delay-constrained streaming model for zero-error communications and show that under this model, network coding and index coding problems are code equivalent. That is, any streaming network coding instance can be efficiently mapped to a corresponding acyclic streaming index coding instance such that an index code for the latter can be efficiently transformed into a network code for the former. This reduction holds even for network coding instances that contain cycles, thereby proving the first known reduction from cyclic to finite acyclic network coding networks.