Proxy signature is an important kind of digital signature. With the continuous progress of science and tecnology. The requirements of proxy signature aslo increase. To design a scheme of recvocation and anonymous, the original signer off-line are important research dirctions of proxy signature. Based on the work of predecessors,We design the schemes with these characters. The main work as below:Firstly, we give the security analysis of two model basic proxy signature schemes: M-U-O scheme, and the anonymous proxy signature without trusted PKG, we analyze the security of them and point out their weakness, present the attack methods to them. And we give the new schemes and analyze their security.Secondly, for most existing proxy signature schemes do not have the feature of reversibility, Based on the schemes of Lize Gu,we propose the revocable anonymous proxy signature. In this scheme, when the original signer discover the dishonest behavior of the proxy signer, he can revoke the right of the proxy signer in time,and we analyze the security and the feasibility of our scheme.In the end, in most existing proxy signature, the original signer is on line, we propose a scheme that the origner is off line,and based on the basis of dual problem digital signature, we propose the scheme based on the elliptic curve discrete logarithm problem and the difficulty of factoring, and give a detail analysis of the new scheme,in efficiency, we compare with other scheme, and conclude that our scheme have advantage in pracicability, security and computational efficiency. |