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arXiv · 1601.06689

A class of index coding problems with rate 1/3

Prasad Krishnan·V. Lalitha
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Abstract

An index coding problem with $n$ messages has symmetric rate $R$ if all $n$ messages can be conveyed at rate $R$. In a recent work, a class of index coding problems for which symmetric rate $\frac{1}{3}$ is achievable was characterised using special properties of the side-information available at the receivers. In this paper, we show a larger class of index coding problems (which includes the previous class of problems) for which symmetric rate $\frac{1}{3}$ is achievable. In the process, we also obtain a stricter necessary condition for rate $\frac{1}{3}$ feasibility than what is known in literature.

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Prasad Krishnan, V. Lalitha. 2016-01-25. A class of index coding problems with rate 1/3. https://arxiv.org/abs/1601.06689

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