Certificate-based proxy signature

Certificate-based public key cryptography was introduced to remove the use of certificate to ensure the authentication of the user´s public key in the traditional cryptography and overcome the key escrow problem in the identity-based public key cryptography. The proxy signature schemes allow proxy signers to sign messages on behalf of an original signer. Combining the concept of certificate-based signature with the concept of proxy signature, in this paper, we present a notion of certificate-based proxy signature based on bilinear parings and proposed a scheme assuming the hardness of Computational Diffie-Hellman Problem.