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Secret Key Generation for Minimally Connected Hypergraphical Sources

2018/05/08 by Qiaoqiao Zhou, Zhou, Qiaoqiao, Chung Chan +1
Engineering · Computer Science · #Wireless Communication Security Techniques #Cooperative Communication and Network Coding #Chaos-based Image/Signal Encryption

paper · pdf · doi:10.48550/arxiv.1805.03110

Abstract

This paper investigates the secret key generation in the multiterminal source model, where users observing correlated sources discuss interactively under limited rates to agree on a secret key. We focus on a class of sources representable by minimally connected hypergraphs. For such sources, we give a single-letter explicit characterization of the region of achievable secret key rate and public discussion rate tuple. This is the first result that completely characterizes the achievable rate region for a multiterminal source model, which is beyond the PIN model on a tree. We also obtain an explicit formula for the maximum achievable secret key rate, called the constrained secrecy capacity, as a function of the total discussion rate.

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