适用于任意接入结构的可验证多秘密分享方案

Verifiable multi-secret sharing schemes applicable to arbitrary access structures

对一般接入结构上的可验证多秘密分享进行了研究,给出了可适用于任意接入结构的一类可验证多秘密分享方案的构造方法。用这种方法构造的可验证多秘密分享方案具有以下性质:可在一组分享者中同时分享多个秘密;分发者发送给每一分享者的秘密份额都是可公开验证的;关于每一秘密的公开信息也是可公开验证的;恢复秘密时可防止分享者提供假的份额。分析表明,用此方法构造的可验证多秘密分享方案不仅是安全的,而且是高效的。

Verifiable multi-secret sharing on general access structures was studied. A method of construct verifiable secret sharing schemes with arbitrary access structure was given. The verifiable multi-secret sharing schemes constructed by this method have the following properties： multiple secrets can be shared at the same time in a group of shareholders. The secret shares sent to shareholders are publicly verifiable. The public information with respect to each shared secret is publicly verifiable. And the supply of false shares in the process of secret recovery can be prevented. Analysis shows that the verifiable multi-secret sharing schemes constructed by our method are not only secure, but also efficient.