Abstract:

A multi-party collaborative blind signature scheme based on State Secrets SM9 was proposed to address the issue of collaborative signatures in multi-user scenarios that cannot be solved by existing State Secrets SM9 blind signature schemes. The plan included six steps: system initialization, key extraction, message blinding, signature, unblinding, and verification. Firstly, the signature private key was divided and distributed to all signatories by the key generation center. After the message owner blinded the message, all signatories completed the signature scheme to generate a valid SM9 blind signature, which was then unblinded by the message owner. Finally, the SM9 verification algorithm was used to validate the signature. The security of the signature scheme has been proven under a universal architecture, with signature lengths close to SM9 signature schemes and computational costs lower than existing collaborative signature schemes. This scheme ensures that all parties involved in the signature cannot obtain message privacy and will not disclose their private keys during interaction, meeting the requirements of unforgeability and blinding. It solves the practical needs of multi-user blind signature scenarios and achieves the security of multi-party collaborative signatures and collaborative processes.

Key words: SM9, blind signature, provable secure, multi-party collaborative signature