Uniprior index coding

Abstract

The index coding problem is a problem of efficient broadcasting with side-information. In uniprior index coding, the sets of side-information symbols possessed by different receivers are disjoint. For single uniprior index coding, in which each receiver has a single unique side-information symbol, a polynomial complexity construction of an optimal index code is known from prior work. In this work, we model the uniprior index coding problem as a supergraph, and focus on a class of uniprior problems defined on special supergraphs known as generalized cycles in which the sizes of the demand set and the side-information set are equal at each receiver. For such problems, we prove upper and lower bounds on the optimal broadcast rate. Using a connection with Eulerian directed graphs, we also show that the upper and lower bounds are equal for a subclass of uniprior problems. We show the NP-hardness of finding the lower bound for uniprior problems on generalized cycles, hence contrasting such uniprior problems with single uniprior problems. Finally, we look at a simple extension of the generalized cycle uniprior class for which we give bounds on the optimal rate and show an explicit scheme which achieves the upper bound.

DOI: 10.1109/ISIT.2017.8007093

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Cite this paper

@article{Mareedu2017UnipriorIC, title={Uniprior index coding}, author={Vijaya Kumar Mareedu and Prasad Krishnan}, journal={2017 IEEE International Symposium on Information Theory (ISIT)}, year={2017}, pages={3065-3069} }