基于特殊差分方程的安全的多重秘密门限共享方案

Secure threshold multi-secret sharing scheme based on special difference equation

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。

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.