Security analysis and modification of identity-based aggregate signature scheme

An aggregate signature scheme is a digital signature that given n signatures on m distinct messages from n distinct users,it is possible to aggregate all these signatures into a single signature.Two ID-based aggregate signature schemes are analyzed and the insecure is proved.According the given scheme,a new ID-based aggregate signature scheme based on the bilinear pairings is proposed.It is proved that the proposed signature scheme is secure against existential forgery under adaptively chosen message and identity attack in the random oracle model,assuming that the computational Diffie-Hellman problem is hard to solve.