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arXiv 1803.00436cs.CR
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安全多方计算的最优精确性-隐私性权衡

Optimal Accuracy-Privacy Trade-Off for Secure Multi-Party Computations

Patrick Ah-Fat, Michael Huth

摘要:

安全多方计算的目的是使协议参与者能够计算他们的私人输入的公共函数,同时保持他们的输入秘密,而不求助于任何可信的第三方。然而,公开这些计算的公共输出不可避免地会揭示一些关于私有输入的信息。我们提出了一个措施,推广Renyi熵和g-熵,以量化这种信息泄漏。为了控制和抑制这种信息流,我们引入了函数替换的概念,用一个近似函数的计算来代替一个揭示敏感信息的函数的计算。我们展示了这种方法提供的隐私增益的理论界限,并通过实验表明,这提高了输入的机密性,同时控制计算输出值的失真。最后,我们调查固有的妥协之间的准确性的计算和隐私的输入,我们演示了如何实现这种最佳的权衡。

英文摘要:

The purpose of Secure Multi-Party Computation is to enable protocol participants to compute a public function of their private inputs while keeping their inputs secret, without resorting to any trusted third party. However, opening the public output of such computations inevitably reveals some information about the private inputs. We propose a measure generalising both Renyi entropy and g-entropy so as to quantify this information leakage. In order to control and restrain such information flows, we introduce the notion of function substitution which replaces the computation of a function that reveals sensitive information with that of an approximate function. We exhibit theoretical bounds for the privacy gains that this approach provides and experimentally show that this enhances the confidentiality of the inputs while controlling the distortion of computed output values. Finally, we investigate the inherent compromise between accuracy of computation and privacy of inputs and we demonstrate how to realise such optimal trade-offs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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