Provable Efficient Certificateless Public Key Encryption

Certificateless public key cryptography was introduced to overcome the key escrow limitation of the identity-based cryptography. It combines the advantages of the identity-based cryptography and the traditional PKI. Recently, Dae Hyun Yum1 and Pil Joong Lee have proposed a generic series construction model of certificateless public key encryption (CL-PKE) which is built from generic primitives: identity-based encryption and public key encryption. However, this model pays much attention on the generic construction and neglects the nice properties of the bilinear pairings. In this paper, we propose an efficient CL-PKE scheme which is based on the nice algebraic properties of Weil pairing. The scheme works in a kind of parallel model and it is more efficient on computation or published public key information than the existing