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Proxy re-signatures are generally used for the delegation of signatures to a semi-trusted proxy which transforms the signatures between the users of the system. Its a handy primitive for network security and automated delegations in hierarchical organizations. Though proxy re-signature schemes that are secure in the standard model are available, none of them have addressed the security notion of strong existential unforgeability, where the adversary will not be able to forge even on messages for which signatures are already available. In this paper, the authors define the security model for strong unforgeability of proxy re-signature schemes.
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