The solution was efficient in that it reduced the computation cost of the signing, verifying and the updating procedure. And supported retroactively publicly revocable group membership.

与现有方案相比，该方案较大程度地降低了签名算法、验证算法以及证据更新过程的计算量，增强了群签名方案的有效性，且满足撤销成员的公开可追溯性。

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During the procedure of verifying each other, I composed a magnetic field, and am changing the conflicts and combination of interacting forces in the magnetic field in a harmonized way.

在相互印证的过程中，我在构造一个磁场，协调改变着磁场中相互作用力的冲突与结合。

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