The existing proxy signature schemes with the proxy revocation function are proven to be malleable and do not possess strong unforgeability. Motivated by these concerns, a new proxy signature scheme with fast revocation is proposed, and it can be proved that the proposed scheme can achieve strong unforgeability in the standard model. By using this scheme, the original signer can generate the delegation warrant for the proxy signer, and at the same time, he/she can perform the immediate revocation to completely terminate the delegation when needed. Analyses show that the proposed scheme satisfies all of the security requirements of proxy signature and has shorter public parameters than the existing ones.
Anonymity, which is more and more important to multi-receiver schemes, has been taken into consideration by many researchers recently. To protect the receiver anonymity, in 2010, the first multi-receiver scheme based on the Lagrange interpolating polynomial was proposed. To ensure the sender’s anonymity, the concept of the ring signature was proposed in 2005, but afterwards, this scheme was proven to has some weakness and at the same time, a completely anonymous multi-receiver signcryption scheme is proposed. In this completely anonymous scheme, the sender anonymity is achieved by improving the ring signature, and the receiver anonymity is achieved by also using the Lagrange interpolating polynomial. Unfortunately, the Lagrange interpolation method was proven a failure to protect the anonymity of receivers, because each authorized receiver could judge whether anyone else is authorized or not. Therefore, the completely anonymous multi-receiver signcryption mentioned above can only protect the sender anonymity. In this paper, we propose a new completely anonymous multi-receiver signcryption scheme with a new polynomial technology used to replace the Lagrange interpolating polynomial, which can mix the identity information of receivers to save it as a ciphertext element and prevent the authorized receivers from verifying others. With the receiver anonymity, the proposed scheme also owns the anonymity of the sender at the same time. Meanwhile, the decryption fairness and public verification are also provided.
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