UM-PSO: A Unified Multi-Party Framework for Private Set Operations against a Dishonest Majority

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Private Set Operations (PSO) enable mutually untrusted parties to securely compute arbitrary functions (e.g., union, intersection, and cardinality) over their private input sets. These operations have wide applications in many real-world scenarios. Existing PSO protocols fall short of practical deployment for several reasons. (1) \textit{Function-specific}. Real-world privacy-preserving applications often require multiple set operations within the same task, while existing solutions typically ad