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Can the multi-signature algorithm satisfy the anonymity and traceability like the group signature algorithm?

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Given a group signature, it is not feasible for anyone except the only group administrator to determine the identity of the signer, at least computationally difficult. In the event of a dispute, the group administrator can open a signature to determine the identity of the signer, and no one can prevent the opening of a legal signature. Can the multi-signature algorithm be like the group signature algorithm, which not only maintains the anonymity of the signer but also can uncover the actual signer identity of a certain signature when necessary, so as to realize the goal of supervision?

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