Private set intersection (PSI) is a cryptographic technique that is applicable to many privacy-sensitive scenarios. For decades, researchers have been focusing on improving its efficiency in both communication and computation. However, most of the existing solutions are inefficient for an unequal number of inputs, which is common in conventional client-server settings. In this paper, we analyze...

We design several new protocols for private set intersection (PSI) with active security: one the two party setting, and multi-party setting. In recent years, state-of-the-art PSI have all been built from OT-extension. This has led to extremely efficient that provide correct output party; seemingly inherent approach, however, is there no way relay result other a provable correctness guarantee. F...

Private Set Intersection allows a client to privately compute set intersection with the collaboration of the server, which is one of the most fundamental and key problems within the multiparty collaborative computation of protecting the privacy of the parties. In this paper, we first present a cheat-sensitive quantum scheme for Private Set Intersection. Compared with classical schemes, our sche...

Existing protocols for private set intersection are based on homomorphic public-key encryption and the technique of representing sets as polynomials in the cryptographic model. Based on the ideas of these protocols and the two-dimensional verifiable secret sharing scheme, we propose a protocol for private set intersection in the informationtheoretic model. By representing the sets as polynomial...

Private Set Intersection protocols (PSIs) allow parties to compute the intersection of their private sets, such that nothing about sets’ elements beyond is revealed. PSIs have a variety applications, primarily in efficiently supporting data sharing privacy-preserving manner. At Eurocrypt 2019, Ghosh and Nilges proposed three efficient based on polynomial representation sets proved security agai...

We provide an overview of the design of PSI (“a Private data Sharing Interface”), a system we are developing to enable researchers in the social sciences and other fields to share and explore privacy-sensitive datasets with the strong privacy protections of differential privacy. ∗This work is part of the “Privacy Tools for Sharing Research Data” project at Harvard, supported by NSF grant CNS-12...

We apply the tropical intersection theory developed by L. Allermann and J. Rau to compute intersection products of tropical Psi-classes on the moduli space of rational tropical curves. We show that in the case of zero-dimensional (stable) intersections, the resulting numbers agree with the intersection numbers of Psi-classes on the moduli space of n-marked rational curves computed in algebraic ...

The problem of secure friend discovery on a social network has long been proposed and studied. The requirement is that a pair of nodes can make befriending decisions with minimum information exposed to the other party. In this paper, we propose to use community detection to tackle the problem of secure friend discovery. We formulate the first privacy-preserving and decentralized community detec...