Identity based signatures schemes

With the development of electronic commerce, Digital signatures have received more and more attention due to the fact that it provides message authentication and non-repudiation and ensures the authenticity of the originator of a digital document and the integrity of that document. Traditional public key signatures cryptographic are commonly needed with the help of certificate management systems, which is every inefficient and cost due to large computation and storage resource. Especially, the verifier has to verify whether the signer´s public key is valid or nor. In order to address these issues, Shamir first introduced a concept of identity-based signatures schemes without checking the public key. Later, a large number of identity-based signature schemes have been proposed. However, few identity-based signature schemes are presented over the pass ten years. In this paper, we propose a more efficient and simpler identity-based signature schemes compared to previous ones.