动态安全的多级门限多秘密共享方案

摘要

In multi-secret sharing schemes, the secrets can only be shared in the same level threshold. A multi-level threshold multi-secret sharing scheme based on bivariate polynomial and the intractability of the discrete logarithm was proposed. A bivariate polynomial can degenerate to different lower-order bivariate polynomial according to different thresholds. The scheme has the following characteristics: the secrets can be shared in the multiple level threshold; the multiple secrets can be shared in the same level threshold; the scheme is proactive secure, and the shadow of every participant can be renewed periodically.%在已有的多秘密共享方案中,存在只能在同一级门限下共享秘密的限制.基于离散对数问题的难解性,利用二元多项式,给出一种多级门限多秘密共享方案.二元多项式能在不同级门限共享中退化为不同的低阶的二元多项式,实现多级多秘密共享.该方案具有如下特点:在多级门限下共享秘密,在同级门限下可共享任意多个秘密;具有动态安全性,能定时更新成员的子秘密.