本方案对秘密恢复者而言是一个门限方案，对攻击者而言窃得足够多的子秘密仍不能恢复秘密数据，因而比传统的门限方案更安全。此外，本方案能有效检测秘密分发者和参与者的欺诈行为，在无需重新分配子秘密的情况下实现新成员的加入与成员的退出，且可一次性恢复全部秘密。

This scheme is a threshold scheme for the secret restorer. Secret data cannot be restored by attackers although they may have stolen enough subsecrets. Therefore,this scheme is safer than traditional threshold schemes.In addition,this scheme can  not only efficiently detect the fraud and cheatings conducted by secret dealers and other participants,accomplishing new members’ entering and leaving without redistributing the subsecrets,but restore all the secrets at one time.