ID-based designated - verifier proxy signature scheme without a trusted party

As existing designated - verifier proxy signatures need to trust a Private Key Generator( PKG) unconditionally. Dishonest PKG can compute the private key of any user and forge a proxy signature of any one. In order to settle the problem who PKG causes, an ID- based designated - verifier proxy signature scheme without trusted PKG is proposed. The security analysis shows that ID- based designated - verifier proxy signature scheme without trusted PKG is secure and effective. The scheme is able to resist the forgery attack from PKG.