P0 and P1 hold sets S0 and S1 respectively and wish to securely compute a function f over the set S0\u2229S1 (e.g., cardinality, sum over associated attributes, or threshold intersection). Following a long line of work, Pinkas et al. (PSTY, Eurocrypt 2019) showed how to construct a concretely efficient Circuit-PSI protocol with linear communication complexity. However, their protocol requires super-linear computation.<\/p>\n
In this work, we construct concretely efficient Circuit-PSI protocols with linear computational and communication cost. Further, our protocols are more performant than the state-of-the-art, PSTY — we are \u22482.3\u00d7 more communication efficient and are up to 2.8\u00d7 faster. We obtain our improvements through a new primitive called Relaxed Batch Oblivious Programmable Pseudorandom Functions (RBOPPRF) that can be seen as a strict generalization of Batch OPPRFs that were used in PSTY. We believe that this primitive could be of independent interest.<\/p>\n","protected":false},"excerpt":{"rendered":"
P0 and P1 hold sets S0 and S1 respectively and wish to securely compute a function f over the set S0\u2229S1 (e.g., cardinality, sum over associated attributes, or threshold intersection). Following a long line of work, Pinkas et al. (PSTY, Eurocrypt 2019) showed how to construct a concretely efficient Circuit-PSI protocol with linear communication complexity. 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