基于环境感知的防泄漏多秘密共享方案

Leakproof Multi-Secret Sharing Based on Environment Sensing

提出了一种基于环境感知的防泄漏多秘密共享方案。在该方案中,可信中心利用中国剩余定理将多个秘密合并成一个秘密,根据拉格朗日插值多项式为各个参与者分配秘密子份额;在秘密重构时,参与者利用双线性映射,根据其秘密子份额和当前环境信息计算伪子份额;验证机构利用拉格朗日插值和双线性映射计算出验证信息,来验证参与者提交的伪子份额的有效性。该方案中参与者的子份额以及共享秘密均具有防泄漏特性,因而可以被重复使用。基于环境感知的动态性可以极大提高该方案对移动攻击者的攻击难度。该方案尤其适用于无线传感器网络、多机器人等野外工作的系统,可以有效提高这些系统的使用效率和安全性。

A leakproof multi-secret sharing scheme based on environment sensing is proposed, in which the private key generator （PKG） uses the Chinese remainder theorem to combine multi-secret into one secret, and computes the shadows through the Lagrange interpolation polynomial. In the reconstruction, the participants use the bilinear map to compute the counterfeit shadows according to the shadows and the current environment. The verifier computes the authentication information through the Lagrange interpolation and the bilinear map, and checks the validity of the counterfeit shadows. In the scheme, the shadows of participants and the shared secret are leakproof, and can be used repeatedly. The dynamic property based on environment sensing can improve the security against the mobile adversary. The proposed scheme is particularly suitable for the system which needs to run long time in the open, such as the wireless sensor network and the multi-robots, and can improve the efficiency and security of these systems effectively.