Public key encryption with equality test (PKEET) allows testing whether two ciphertexts are
generated by the same message or not. PKEET is a potential candidate for many practical
applications like efficient data management on encrypted databases. Potential applicability
of PKEET leads to intensive research from its first instantiation by Yang et al.(CT-RSA 2010).
Most of the followup constructions are secure in the random oracle model. Moreover, the
security of all the concrete constructions is based on number-theoretic hardness …

Certificateless public key encryption (CL-PKE) solves the problems of establishing public-
key infrastructure for traditional public key encryption and resolving key escrow for identity-
based encryption. Equality test is an extremely useful property that enables the ability of
checking whether two ciphertexts encrypting the same message. Qu et al.(Information
Science 2019) introduced the notion of certificateless public key encryption with equality test
(CL-PKEET), together with four types of adversaries, that solves certificate manangement …