权重不同参与者之间的多重秘密广义门限方案

Generalized threshold multi-secret sharing scheme among weighted participants

在秘密共享案中,一般集中于Shamir(n,t)门限秘密共享方案的研究。文章给出具有特殊权限的参与者权重不同的(m+n1+…+nl,(t+t1+…+tl)l个)门限秘密共享方案,它们是(m+n,t+1)门限秘密共享方案的推广形式。同时,考虑了多重秘密共享,即通过一次秘密共享过程就可实现对任意个秘密的共享,而参与者秘密份额的长度仅为一个秘密的长度。基于中国剩余定理给出具有特殊权限的且参与者具有不同权重的(m+n1+…+nl,(t+t1+…+tl)l个)门限多重秘密共享方案。

Generally, people just research on Shamir(n,t) threshold secret sharing scheme. The authors will show(m+n1+…+nl,(t+t1+…+tl)l个) threshold secret sharing scheme among weighted participants of special access right, which is a generalized scheme of (m+n,t+1) threshold secret sharing. The authors pay attention to multi-secret, that is, multiple secrets can be shared in one sharing session, and will give(m+n1+…+nl,(t+t1+…+tl)l个) threshold multi-secret sharing scheme among weighted participants based on CRT of special access right.