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为克服已有门限方案只能在同一级门限下共享秘密的限制,利用离散对数计算和大数分解的困难性,提出一种可认证的多级门限多秘密共享方案。通过一个多项式共享秘密,该多项式在不同级门限中退化为不同的低阶多项式。与已有诸多秘密共享方案相比,该方案可以同时有多级门限值,而在同级门限下又可以有多个秘密。恢复任意一级门限的任意一个秘密都不会影响其他未恢复秘密的安全性。该方案只要求每个参与者掌握一个子秘密,管理和使用都比较方便。
To overcome the limitation that the existing threshold scheme can only share the secret under the same threshold, a multi-level threshold multi-secret sharing scheme is proposed by using the difficulty of discrete logarithm calculation and large number decomposition. By a polynomial shared secret, the polynomial degenerates into different low-order polynomials at different levels of threshold. Compared with many existing secret sharing schemes, this scheme can have multiple thresholds at the same time, and multiple secrets can be obtained under the same threshold. Any one of the resumption of any one level of the secret will not affect the rest of the security did not resume. The program only requires each participant to master a sub-secret, management and use more convenient.