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arXiv · 2205.10827

Information Leakage in Index Coding With Sensitive and Non-Sensitive Messages

Yucheng Liu·Lawrence Ong·Phee Lep Yeoh·Parastoo Sadeghi·Joerg Kliewer·Sarah Johnson
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Abstract

Information leakage to a guessing adversary in index coding is studied, where some messages in the system are sensitive and others are not. The non-sensitive messages can be used by the server like secret keys to mitigate leakage of the sensitive messages to the adversary. We construct a deterministic linear coding scheme, developed from the rank minimization method based on fitting matrices (Bar-Yossef et al. 2011). The linear scheme leads to a novel upper bound on the optimal information leakage rate, which is proved to be tight over all deterministic scalar linear codes. We also derive a converse result from a graph-theoretic perspective, which holds in general over all deterministic and stochastic coding schemes.

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Yucheng Liu, Lawrence Ong, Phee Lep Yeoh, Parastoo Sadeghi, Joerg Kliewer, Sarah Johnson. 2022-05-22. Information Leakage in Index Coding With Sensitive and Non-Sensitive Messages. https://arxiv.org/abs/2205.10827

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