- CONSTANT-ROUND PRIVACY PRESERVING MULTISET UNION
- Hong, Jeongdae ; Kim, Jung Woo ; Kim, Jihye ; Park, Kunsoo ; Cheon, Jung Hee ;
- Bulletin of the Korean Mathematical Society, volume 50, issue 6, 2013, Pages 1799~1816
- DOI : 10.4134/BKMS.2013.50.6.1799

Abstract

Privacy preserving multiset union (PPMU) protocol allows a set of parties, each with a multiset, to collaboratively compute a multiset union secretly, meaning that any information other than union is not revealed. We propose efficient PPMU protocols, using multiplicative homomorphic cryptosystem. The novelty of our protocol is to directly encrypt a polynomial by representing it by an element of an extension field. The resulting protocols consist of constant rounds and improve communication cost. We also prove the security of our protocol against malicious adversaries, in the random oracle model.