Identity-Based Blind Signature Scheme with Message Recovery Over SM9

The current blind signature scheme over SM9 demands substantial resources for practical implementation. To address this issue, a novel identity-based blind signature scheme with message recovery over SM9 is proposed by combining message recovery technology, hiding the message in the signature to reduce the transmission band-width for the signature information. The security of this scheme is analyzed by using the provable security method. And it is proven that this scheme achieves existential unforgeability under chosen-message and identity attack (EUF-CMIA) security, and the blindness can be guaranteed. Through testing and analysis, at the clock frequency of 500 MHz, our scheme requires 6.128 ms for each signature after initialization, which is faster than existing identity-based message recovery blind signature algorithms. The scheme reduces the transmission bandwidth to 75.6% compared to the normal SM9 signature algorithm. Compared with other existing SM9 blind signature schemes, this scheme has lower data transmission volume, reduces bandwidth resource consumption, and offers promising applications in bandwidth-limited environments.