Title :
An Equivalence Between Network Coding and Index Coding
Author :
Effros, Michelle ; El Rouayheb, Salim ; Langberg, Michael
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
We show that the network coding and index coding problems are equivalent. This equivalence holds in the general setting which includes linear and nonlinear codes. Specifically, we present a reduction that maps a network coding instance to an index coding instance while preserving feasibility, i.e., the network coding instance has a feasible solution if and only if the corresponding index coding instance is feasible. In addition, we show that one can determine the capacity region of a given network coding instance with colocated sources by studying the capacity region of a corresponding index coding instance. Previous connections between network and index coding were restricted to the linear case.
Keywords :
network coding; index coding problems; network coding problems; Decoding; Encoding; Indexes; Network coding; Random variables; Vectors; Xenon; Communication networks; network coding;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2015.2414926