Secure and Efficient Private Set Intersection Cardinality Using Bloom Filter

We first present a Private Set Intersection Cardinality (PSICA) protocol followed by its authorized variant, APSI-CA, utilizing Bloom filter (BF). We further extend these to PSI and APSI protocols. All the constructions are proven to be secure in standard model with linear complexities. Moreover, our protocols hide the size of the client's private set which may be sensitive in application specific scenarios. The proposed PSI-CA and APSI-CA are the first to achieve security in standard model under the Quadratic Residuosity (QR) assumption with linear complexities.