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Group signature is an important anonymous technique. Two primitive properties of group signature is anonymity and unforgeability. It allows a group member to sign messages anonymously on behalf of the group such that any one can verify the signature but no one (except group manager) can find out which group member produce it. However, group manager can reveal the identity of the originator of a signature in case of a dispute. Recently, Elaalim et.al proposed a short ID-based group signature, and claimed that the scheme is secure against forgeability attack and linkability attack.
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