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本文将门限秘密共享体制与RSA体制和单向Hash函数相结合,提出了基于这两者安全性的一个可防欺骗的秘密共享体制,对于该体制的欺骗等价于攻击RSA体制或单向Hash函数。此外,还可以检验子密数据的正确性,避免分配中心错误发送,且该体制引入了一个时间参数,很好地解决了秘密的更新和复用问题,同时也可防止参与者对相关数据的误发,且实施起来更为简洁、有效。
In this paper, the threshold-based secret sharing system is combined with the RSA system and the one-way Hash function to propose a cheat-proof secret sharing system based on the security of the two. The cheating of the system is equivalent to attacking the RSA system or one-way Hash function. In addition, the correctness of the sub-dense data can be tested to prevent the distribution center from sending erroneously, and the system introduces a time parameter, which can well solve the problem of secret updating and reusing. At the same time, Misdirected, and implemented more concise and effective.