云计算下基于特殊差分方程的(m+1,t+1)门限秘密共享方案

(m+1,t+1) Threshold Secret Sharing Scheme Based on Special Difference Equation for Cloud Computing

针对非可信云计算服务提供商窃取用户隐私数据的问题,以齐次常系数线性差分方程为工具,将秘密共享技术应用到云计算环境中,提出一种新的(m+1,t+1)门限秘密共享方案。通过对用户隐私数据的解密密钥进行管理,利用齐次常系数线性差分方程为用户与云服务提供商分别分配特殊秘密份额与普通秘密份额,在没有用户参与的情况下,云服务提供商不能恢复用户隐私数据。分析结果表明,该方案能较好地保障用户隐私数据的存储安全,并且通过优化秘密份额减少了存储开销。

To solve the problem that untrusted cloud computing service providers steal user＆#39;s privacy data,this paper uses the homogeneous linear difference equations with constant coeffcients as a tool,applies secret sharing technology in cloud computing,and proposes a novel （m ＋ 1,t ＋ 1） threshold secret sharing scheme.This scheme manages the decryption key of the user privacy data,and distributes a special secret share to user and a common secret share to each computing service provider by homogeneous linear difference equations with constant coeffcients.Cloud computing service providers cannot recover the user＆#39;s privacy data without the user＆#39;s involvement.Analysis reslut shows that the scheme resolves the problem that untrusted cloud computing service providers steal user＆#39;s privacy data,and reduces the cost of memory overhead by optimizing secret share.