Method to construct a class of certificateless signature schemes

Certificateless public key cryptography (CL-PKC) is a new paradigm in public key cryptography. It effectively solves the inherent key escrow problem in identity based public key cryptography (ID-PKC) while keeps its certificate free property. Designing efficient and secure signature schemes in certificateless public key setting is an interesting research topic that attracts the attentions of many researchers. This paper proposes a new method to construct a class of certificateless signature schemes. The schemes constructed using the new method can be proven secure in a very strong security model. The overall performances of the authors' newly constructed schemes are better than that of the other certificateless signature schemes available in the literature.