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Scaling Private Set Intersection to Billion-Element Sets

机译:将私有集的交集扩展到十亿个元素集

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We examine the feasibility of private set intersection (PSI) over massive datasets. PSI, which allows two parties to find the intersection of their sets without revealing them to each other, has numerous applications including to privacy-preserving data mining, location-based services and genomic computations. Unfortunately, the most efficient constructions only scale to sets containing a few thousand elements-even in the semi-honest model and over a LAN. In this work, we design PSI protocols in the server-aided setting, where the parties have access to a single untrusted server that makes its computational resources available as a service. We show that by exploiting the server-aided model and by carefully optimizing and parallelizing our implementations, PSI is feasible for billion-element sets even while communicating over the Internet. As far as we know, ours is the first attempt to scale PSI to billion-element sets which represents an increase of five orders of magnitude over previous work. Our protocols are secure in several adversarial models including against a semi-honest, covert and malicious server; and address a range of security and privacy concerns including fairness and the leakage of the intersection size. Our protocols also yield efficient server-aided private equality-testing (PET) with stronger security guarantees than prior work.
机译:我们研究了大规模数据集上的私人集合交集(PSI)的可行性。 PSI允许两方找到它们的集合的交集而不会彼此公开,PSI具有许多应用程序,包括隐私保护数据挖掘,基于位置的服务和基因组计算。不幸的是,最有效的结构只能扩展到包含数千个元素的集合,即使在半诚实的模型中也可以通过LAN进行扩展。在这项工作中,我们在服务器辅助的环境中设计PSI协议,各方可以访问单个不受信任的服务器,该服务器将其计算资源用作服务。我们表明,通过利用服务器辅助模型并仔细优化和并行化我们的实现,即使在通过Internet进行通信时,PSI对于十亿个元素集也是可行的。据我们所知,我们是将PSI扩展到十亿个元素集的第一次尝试,这比以前的工作增加了五个数量级。我们的协议在多种对抗模型中都是安全的,包括针对半诚实,秘密和恶意服务器的攻击;并解决一系列安全和隐私问题,包括公平性和交叉路口尺寸的泄漏。与以前的工作相比,我们的协议还可以产生高效的服务器辅助专用平等测试(PET),并具有更强的安全性保证。

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