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.