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On the role of mutual infomation between the shares in a robust (k, n)-threshold scheme

机译:在稳健(k,n)阈值方案中股票之间相互信息的作用

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In this paper we unveil basic properties of a (k, n)-threshold scheme secure against an extended impersonation attack by an opponent. We consider a scenario in which an opponent tries to impersonate one of the participants under knowledge of other shares. We first establish lower bounds on not only the sizes of the n shares and the uniform random number needed for generation of the shares but also the probability of successful impersonation. Next, we construct a (k, n)-threshold scheme with detectability of the extended impersonation attack, which turns out to be optimal in a certain case. Mutual information between the shares plays key roles in the analysis.
机译:在本文中,我们揭示了(k,n)阈值方案的基本属性,该方案可抵抗对手的长时间假冒攻击。我们考虑一种情况,在这种情况下,对手试图在其他份额的知识下冒充参与者之一。我们首先不仅要确定n股的大小和生成股所需的统一随机数的下界,而且还要确定成功模仿的可能性。接下来,我们构造具有可扩展假冒攻击可检测性的(k,n)阈值方案,在某些情况下证明是最佳方案。股票之间的相互信息在分析中起着关键作用。

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