基于Hermite插值的可验证非抵赖多秘密共享方案

摘要

秘密共享方案在一次秘密共享过程中能否共享多个秘密、能否公开验证秘密份额或者秘密分发者和参与者可否抵赖等,是多秘密共享过程需要解决的问题.利用椭圆曲线上的双线性对技术,结合Hermite插值原理,构造了一种可验证非抵赖的多秘密共享方案.由于双线性对技术具有良好的性质,不仅可以保证秘密分发者和参与者的诚实性,还能实现秘密份额的可验证性,克服了一次秘密共享过程只能共享一个秘密的不足,且具有不可抵赖性.%These problems need to be solved in the multi-secret sharing process, including whether the secret-sharing scheme can share multiple secrets, and whether it can publicly verify secret share, or the secret distributors and participants can have non-repudiation or not. By using bilinear pairings on elliptic curve, combined with the Hermite interpolation principle, a verifiable and non-repudiation multi-secret sharing scheme is proposed. Owing to its good properties, bilinear pairings technology can both guarantee the honesty of the distributors and participants and realize the verifiability of the secret share, thus overcoming the shortcoming that a secret sharing process can only share one secret, and being of non-repudiation.