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An identity based signature allows users to sign their documents using their private keys and the signature can be verified by any user by using the identity of the signer and public parameters of the system. This allows secure communication between the users without any exchange of certificates. An aggregate signature scheme is a digital signature scheme which allows aggregation of different signatures by different users on different messages. An aggregate signature on n messages mi by n users Ui convinces the verifier that each user Ui has signed the corresponding message mi.
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