Privacy-preserving techniques for processing sets of information have attracted the research community’s attention in recent years due to society’s increasing dependency on availability data at any time. One fundamental problems set operations is known as Private Set Intersection (PSI). The pro...

Secure Multi-party Computation (SMPC) is a family of protocols which allow some parties to compute function on their private inputs, obtaining the output at end and nothing more. In this work, we focus particular SMPC problem named Private Set Intersection (PSI). The challenge in PSI how two or more can intersection input sets, while elements that are not remain private. This has attracted atte...

In this paper, we present an O(r n) algorithm for the linear matroid parity problem. Our solution technique is to introduce a modest generalization, the non-simple parity problem, and identify an important subclass of non-simple parity problems called 'easy' parity problems which can be solved as matroid intersection problems. We then show how to solve any linear matroid parity problem parametr...

The constantly increasing dependence on anytime-anywhere availability of data and the commensurately increasing fear of losing privacy motivate the need for privacy-preserving techniques. One interesting and common problem occurs when two parties need to privately compute an intersection of their respective sets of data. In doing so, one or both parties must obtain the intersection (if one exis...

Set intersection is a fundamental operation in information retrieval and database systems. This paper introduces linear space data structures to represent sets such that their intersection can be computed in a worst-case efficient way. In general, given k (preprocessed) sets, with totally n elements, we will show how to compute their intersection in expected time O(n/ √ w + kr), where r is the ...

In this paper we consider the problem of privately computing the set-intersection (private matching) of sets, as well as several variations on this problem: cardinality set-intersection, threshold set-intersection, and over-threshold set-intersection. Cardinality set-intersection is the problem of determining the size of the intersection set, without revealing the actual set. In threshold set-i...

Secure computation of the set intersection functionality allows n parties to find the intersection between their datasets without revealing anything else about them. An efficient protocol for such task could have multiple potential applications, in commerce, health-care, and security. However, all currently known secure set intersection protocols for n > 2 parties have computational costs that ...