Secure Certificateless Signature Scheme Supporting Batch Verification

In this paper, we propose a secure certificate less signature scheme supporting batch verification, which makes it possible for a verifier to verify a set of signatures more efficiently than verifying them one by one. In our proposed scheme, it is impossible for PKG to produce a signature which is indistinguishable from any signature produced by a user. Compared with existing signature schemes with batch verification, although our proposed scheme is not the most efficient one, it achieves Girault's Level-3 security, while the others have Girault's Level-1 or Level-2 security only.