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arXiv · 1901.05817

One-Shot Perfect Secret Key Agreement for Finite Linear Sources

Chung Chan·Navin Kashyap·Praneeth Kumar Vippathalla·Qiaoqiao Zhou
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Abstract

We consider a non-asymptotic (one-shot) version of the multiterminal secret key agreement problem on a finite linear source model. In this model, the observation of each terminal is a linear function of an underlying random vector composed of finitely many i.i.d. uniform random variables. Restricting the public discussion to be a linear function of the terminals' observations, we obtain a characterization of the communication complexity (minimum number of symbols of public discussion) of generating a secret key of maximum length. The minimum discussion is achieved by a non-interactive protocol in which each terminal first does a linear processing of its own private observations, following which the terminals all execute a discussion-optimal communication-for-omniscience protocol. The secret key is finally obtained as a linear function of the vector of all observations.

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Chung Chan, Navin Kashyap, Praneeth Kumar Vippathalla, Qiaoqiao Zhou. 2019-01-17. One-Shot Perfect Secret Key Agreement for Finite Linear Sources. https://arxiv.org/abs/1901.05817

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