Verifiable Homomorphic Oblivious Transfer and Private Equality Test

We describe slightly modified version (that we call the HOT protocol) of the Aiello-Ishai-Reingold oblivious transfer protocol from Eurocrypt 2001. In particular, the HOT protocol will be what we call weakly secure when coupled with many different homomorphic semantically secure public-key cryptosystems. Based on the HOT protocol, we construct an efficient verifiable oblivious transfer protocol and an efficient verifiable private equality test. As a concrete application of our results, we propose a novel protocol called proxy verifiable private equality test, and apply it to a cryptographic auction scheme to improve its security.