标题： 信息理论安全的三方计算，有一个被破坏的参与方 显示英文标题

标题： Information-Theoretically Secure Three-Party Computation with One Corrupted Party

摘要： 在三个相互作用的参与方中，要求其中一个参与方安全地计算由其他两个参与方输入的函数的问题，在一个参与方可能任意偏离计算协议（主动行为模型）的情况下被研究。 提供了在主动行为模型下无条件安全计算协议的信息理论表征。 提供了一个汉明距离计算协议，并通过信息理论表征证明该协议在主动和被动行为模型下都是无条件安全的。 通过BGW协议计算二次和汉明距离来说明主动和被动行为模型下安全概念之间的差异；该协议在被动模型下是安全的，但在主动模型下被证明不安全。 显示英文摘要

摘要： The problem in which one of three pairwise interacting parties is required to securely compute a function of the inputs held by the other two, when one party may arbitrarily deviate from the computation protocol (active behavioral model), is studied. An information-theoretic characterization of unconditionally secure computation protocols under the active behavioral model is provided. A protocol for Hamming distance computation is provided and shown to be unconditionally secure under both active and passive behavioral models using the information-theoretic characterization. The difference between the notions of security under the active and passive behavioral models is illustrated through the BGW protocol for computing quadratic and Hamming distances; this protocol is secure under the passive model, but is shown to be not secure under the active model.