Secret Sharing over a Public Channel from Correlated Random Variables
Secret Sharing over a Public Channel from Correlated Random Variables
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通过公共渠道从相关随机变量进行秘密共享
DOI：
10.1109/isit.2018.8437656
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Rémi A. Chou
中科院分区：
文献类型：
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作者：
Rémi A. Chou
我们考虑一种秘密共享模型，在该模型中，分发者在一组参与者之间分配一个秘密的份额，其限制条件是只有预先确定的参与者子集必须能够通过汇集他们的份额来重构秘密。与传统的秘密共享模型不同，分发者和参与者之间没有安全通道。此外，我们假设分发者是一个由若干个子分发者组成的抽象实体，这些子分发者能够通过无噪声且经过认证的公共信道与参与者进行通信。在这种设定下，我们假设子分发者和参与者观察到独立同分布随机变量的实现。我们的主要结果是分发者通过其子分发者能够分发给参与者的秘密速率的内界和外界。
We consider a model for secret sharing, where a dealer distributes the shares of a secret among a set of participants with the constraint that only predetermined subsets of participants must be able to reconstruct the secret by pooling their shares. Unlike traditional secret sharing models, no secure channels are available between the dealer and the participants. Additionally, we assume that the dealer is an abstract entity made of several sub-dealers able to communicate with the participants through a noiseless and authenticated public channel. In this setting, we assume that the sub-dealers and the participants observe realizations of independently and identically distributed random variables. Our main results are inner and outer bounds on the rate of the secret that the dealer can distribute to the participants via its sub-dealers.