安全的多级门限多秘密共享

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。

Secure multi-level threshold multi-secret sharing

A verifiable multi-level threshold multi-secret sharing scheme based on the intractability of the discrete logarithm and integer factorization was developed to eliminate limitations of previous threshold schemes that secrets can only be shared in the same level threshold.The secrets are shared with a polynomial which degenerates to a lower order polynomial for different thresholds.Compared with previous schemes,this scheme simultaneously maintains multi-level thresholds and multiple secrets for the same threshold level.The recovery of any shared secret on any threshold level will not leak any other un-recovered secret. The system is easily managed and uses sub-secret because only one sub-secret need be kept for each participant.