Efficient Public Key Encryption With Equality Test Supporting Flexible Authorization

Abstract

We reformalize and recast the notion of public key encryption with equality test (PKEET), which was proposed in CT-RSA 2010 and supports to check whether two ciphertexts encrypted under different public keys contain the same message. PKEET has many interesting applications, for example, in constructing searchable encryption and partitioning encrypted data. However, the original PKEET scheme lacks an authorization mechanism for a user to control the comparison of its ciphertexts with others’. In this paper, we study the authorization mechanism for PKEET, and propose four types of authorization policies to enhance the privacy of users’ data. We give the definitions of the policies, propose a PKEET scheme supporting these four types of authorization at the same time, and prove its security based on the computational Diffie–Hellman assumption in the random oracle model. To the best of our knowledge, it is the only PKEET scheme supporting flexible authorization.