A hybrid construction is a formal method of combining asymmetric encryption and symmetric encryption.By introducing key encapsulation mechanism into certificate-based encryption scheme
we propose a formal definition and security model of the certificate-based key encapsulation mechanism.Furthermore
we present a construction of the certificate-based key encapsulation scheme.Based on decision bilinear Diffie-Hellman difficulty assumption
the proposed scheme is provably secure against indistinguishability under adaptive chosen-ciphertext attack in the standard model.