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With the rapid growth of cloud storage and cloud computing services, manyorganisations and users choose to store the data on a cloud server for savingcosts. However, due to security concerns, data of users would be encryptedbefore sending to the cloud. However, this hinders a problem of computation onencrypted data in the cloud, especially in the case of performing data matchingin various medical scenarios. Public key encryption with equality test (PKEET)is a powerful tool that allows the authorized cloud server to check whether twociphertexts are generated by the same message. PKEET has then become apromising candidate for many practical applications like efficient datamanagement on encrypted databases. Lee et al. (Information Sciences 2020)proposed a generic construction of PKEET schemes in the standard model andhence it is possible to yield the first instantiation of post-quantum PKEETschemes based on lattices. At ACISP 2019, Duong et al. proposed a directconstruction of PKEET over integer lattices in the standard model. However,their scheme does not reach the CCA2-security. In this paper, we propose anefficient CCA2-secure PKEET scheme based on ideal lattices. In addition, wepresent a modification of the scheme by Duong et al. over integer lattices toattain the CCA2-security. Both schemes are proven secure in the standard model,and they enjoy the security in the upcoming quantum computer era.

CCA2-secure Lattice-based Public Key Encryption with Equality Test in Standard Model