Identity-based and Key-insulated Aggregate Signature

Aiming at solving the problem of secret-key exposures in the identity-based aggregate signature systems,the concept of identity-based and key-insulated aggregate signature is proposed,and a specific scheme is presented.In this scheme,the private key of each signer can be updated regularly by the key-insulated technology.This can reduce risks under the condition that the secret-key exposure is inevitable.The proposed scheme has the properties of key-insulated security,strong key-insulated security and secure key updates.Only constant bilinear paring operations are required in verification,so the efficiency of signature verification has been improved greatly.