Abstract: A multi-secret threshold secret sharing scheme was introduced. Through one process of secret sharing, any secret sharing could be achieved, and participants share a secret and the length is only a secret length. Meanwhile, considering such programs threshold of safety, a secure threshold multi-secret sharing scheme based on special difference equation was given. Analysis shows that the given threshold secret sharing scheme has the information rate of 1/2, and for fraud prevention is unconditionally safe.

Key words: threshold secret sharing, secure, difference, multi-secret

摘要： 介绍了多重秘密门限秘密共享方案，该方案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。同时，考虑了此类门限方案的安全性，基于特殊差分方程给出安全的多重门限秘密共享方案。分析表明，给出的门限秘密共享方案的信息率为1/2，且对于防欺诈是无条件安全的。

关键词: 门限秘密共享, 安全, 差分, 多重秘密