抗泄漏可验证多秘密共享方案

在依赖分发者选取多项式系数、构造多项式并将多项式的函数值作为秘密份额的秘密共享方案中,半诚实的分发者可通过修改多项式系数泄漏关于秘密的信息,破坏秘密共享方案的安全性.为了解决半诚实分发者造成的秘密泄漏问题,提出了一种抗泄漏的可验证多秘密共享方案.该方案采用所有参与者共同构造多项式系数的方式,成功解决了半诚实分发者可能泄漏秘密信息的问题.与其他方案相比,新方案实现了抗半诚实分发者泄漏.同时,实验结果也表明,新方案在计算方面具有较好的性能.

Leakage-Resilient Verifiable Multi-Secret Sharing Scheme

In the existing multi-secret sharing schemes mainly depending ondealer selections, the polyno-mial coefficients constructs the polynomial and takes the value ofpolynomial function as shadows of se-crets, however, the semi-honest dealer may leak information of secrets by changing the polynomial coeffi-cients. In order to solve the problem by semi-honest dealer, the article presented a new leakage-resilient verifiable multi-secret sharing scheme The problem of leakage secret information hiddens in that the poly-nomial coefficients are selected and constructed by all of participants. Comparison with existing schemes which also achieve verifiable multi-secret sharing, the scheme can still work well even when the dealer leaks some secret information. It has better efficiency in terms of computation overhead.