An Equivalence between Network Coding and Index Coding
Information Theory
2012-11-29 v1 Discrete Mathematics
Networking and Internet Architecture
math.IT
Abstract
We 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, we 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.
Keywords
Cite
@article{arxiv.1211.6660,
title = {An Equivalence between Network Coding and Index Coding},
author = {Michelle Effros and Salim El Rouayheb and Michael Langberg},
journal= {arXiv preprint arXiv:1211.6660},
year = {2012}
}