Plaintext aware encryption in the standard model under the linear Diffie-Hellman knowledge assumption

In this paper, we consider the problem of constructing new plaintext aware encryption in the standard model. A new hybrid asymmetric encryption scheme is presented using a new key encapsulation method and a data encapsulation method. To prove the presented asymmetric encryption scheme is simulatable, we put forward some new sufficient conditions for judging a group to be simulatable. By introducing a new assumption called linear Diffie-Hellman knowledge assumption, we prove the proposed hybrid asymmetric encryption scheme is PA2.