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Private set intersection (PSI) and private set union (PSU) are the crucial primitives in secure multiparty computation protocols, which enable several participants to jointly compute the intersection and union of their private sets without…

Quantum Physics · Physics 2024-12-03 Chong-Qiang Ye , Jian Li , Tianyu Ye , Xiaoyu Chen

Private Set Intersection (PSI) is a widely used protocol that enables two parties to securely compute a function over the intersected part of their shared datasets and has been a significant research focus over the years. However, recent…

Cryptography and Security · Computer Science 2023-12-01 Bo Jiang , Jian Du , Qiang Yan

Private Set Intersection (PSI) is a vital cryptographic technique used for securely computing common data of different sets. In PSI protocols, often two parties hope to find their common set elements without needing to disclose their…

Cryptography and Security · Computer Science 2021-02-01 Alireza Kavousi , Javad Mohajeri , Mahmoud Salmasizadeh

We propose a novel protocol for computing a circuit which implements the multi-party private set intersection functionality (PSI). Circuit-based approach has advantages over using custom protocols to achieve this task, since many…

Cryptography and Security · Computer Science 2023-09-15 Jiuheng Su , Zhili Chen

We introduce cryptographic protocols for securely and efficiently computing the cardinality of set union and set intersection. Our private set-cardinality protocols (PSC) are designed for the setting in which a large set of parties in a…

Cryptography and Security · Computer Science 2022-07-01 Ellis Fenske , Akshaya Mani , Aaron Johnson , Micah Sherr

We present a new circuit-based protocol for multi-party private set intersection (PSI) that allows m parties to compute the intersection of their datasets without revealing any additional information about the items outside the…

Cryptography and Security · Computer Science 2024-01-24 Jiuheng Su , Zhili Chen , Xiaomin Yang

In a Private section intersection (PSI) protocol, Alice and Bob compute the intersection of their respective sets without disclosing any element not in the intersection. PSI protocols have been extensively studied in the literature and are…

Cryptography and Security · Computer Science 2022-09-29 Florian Kerschbaum , Erik-Oliver Blass , Rasoul Akhavan Mahdavi

Private Set Multi-Party Computations are protocols that allow parties to jointly and securely compute functions: apart from what is deducible from the output of the function, the input sets are kept private. Then, a Private Set Union (PSU),…

Cryptography and Security · Computer Science 2026-01-29 Jean-Guillaume Dumas , Aude Maignan , Luiza Soezima

One way to classify private set intersection (PSI) for secure 2-party computation is whether the intersection is (a) revealed to both parties or (b) hidden from both parties while only the computing function of the matched payload is…

Cryptography and Security · Computer Science 2022-08-30 Jian Du , Tianxi Ji , Jamie Cui , Lei Zhang , Yufei Lu , Pu Duan

Secure computation protocols combine inputs from involved parties to generate an output while keeping their inputs private. Private Set Intersection (PSI) is a secure computation protocol that allows two parties, who each hold a set of…

Cryptography and Security · Computer Science 2024-10-07 Yuvaraj Athur Raghuvir , Senthil Govindarajan , Sanjeevi Vijayakumar , Pradeep Yadlapalli , Fabio Di Troia

Private set intersection (PSI) aims to allow users to find out the commonly shared items among the users without revealing other membership information. The most recently proposed approach to PSI in the database community was Prism, which…

Cryptography and Security · Computer Science 2023-03-14 Dongfang Zhao

Private Set Intersection (PSI) is usually implemented as a sequence of encryption rounds between pairs of users, whereas the present work implements PSI in a simpler fashion: each set only needs to be encrypted once, after which each pair…

Cryptography and Security · Computer Science 2014-05-22 Nicholas Kersting

Two parties with private data sets can find shared elements using a Private Set Intersection (PSI) protocol without revealing any information beyond the intersection. Circuit PSI protocols privately compute an arbitrary function of the…

Private set intersection (PSI) enables a sender holding a set $Q$ of size $m$ and a receiver holding a set $W$ of size $n$ to securely compute the intersection $Q \cap W$. Fuzzy PSI (FPSI) is a PSI variant where the receiver learns the…

Cryptography and Security · Computer Science 2026-04-17 Xinpeng Yang , Meng Hao , Chenkai Weng , Robert H. Deng , Yonggang Wen , Tianwei Zhang

We present a multi-language, cross-platform, open-source library for asymmetric private set intersection (PSI) and PSI-Cardinality (PSI-C). Our protocol combines traditional DDH-based PSI and PSI-C protocols with compression based on Bloom…

Private set intersection (PSI) allows two mutually untrusting parties to compute an intersection of their sets, without revealing information about items that are not in the intersection. This work introduces a PSI variant called…

Cryptography and Security · Computer Science 2022-07-20 Anrin Chakraborti , Giulia Fanti , Michael K. Reiter

In Private Set Intersection protocols (PSIs), a non-empty result always reveals something about the private input sets of the parties. Moreover, in various variants of PSI, not all parties necessarily receive or are interested in the…

Cryptography and Security · Computer Science 2024-04-29 Aydin Abadi

The computation of collision probability ($\mathcal{P}_c$) is crucial for space environmentalism and sustainability by providing decision-making knowledge that can prevent collisions between anthropogenic space objects. However, the…

Cryptography and Security · Computer Science 2025-01-14 Jihoon Suh , Michael Hibbard , Kaoru Teranishi , Takashi Tanaka , Moriba Jah , Maruthi Akella

Counting the number of distinct elements distributed over multiple data holders is a fundamental problem with many real-world applications ranging from crowd counting to network monitoring. Although a number of space and computational…

Cryptography and Security · Computer Science 2023-02-07 Pinghui Wang , Chengjin Yang , Dongdong Xie , Junzhou Zhao , Hui Li , Jing Tao , Xiaohong Guan

Sensitive citizen data, such as social, medical, and fiscal data, is heavily fragmented across public bodies and the private domain. Mining the combined data sets allows for new insights that otherwise remain hidden. Examples are improved…

Cryptography and Security · Computer Science 2025-12-10 Kristof Verslype , Florian Kerschbaum , Cyprien Delpech de Saint Guilhem , Bart De Decker , Jorn Lapon
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