High-efficient identity-based threshold signature scheme

Based on the signature scheme proposed by Guke, a new ID-based threshold signature scheme is designed, which is efficient and provably secure in the standard model (without random oracle). The generation of the threshold key does not require a trusted third party. The new scheme improves efficiency by reducing multiplicative operations and bilinear pairing operations, especially by pre-computing bilinear pairing operation. And the new scheme is against existential forgery under the adaptive chosen message attack under the computation Diffie-Hellman assumption in the standard model. Compared with the current ID-based threshold signature scheme, the new one is more computational efficient.