Efficient set operations in the presence of malicious adversaries

Abstract

We revisit the problem of constructing efficient secure two-party protocols for set-intersection and set-union, focusing on the model of malicious parties. Our main results are constant-round protocols that exhibit linear communication and a linear number of exponentiations with simulation based security. In the heart of these constructions is a technique based on a combination of a perfectly hiding commitment and an oblivious pseudorandom function evaluation protocol. Our protocols readily transform into protocols that are UC-secure. © 2010 Springer-Verlag Berlin Heidelberg.