匿名秘密共享在信息安全领域中有着非常重要的应用,已有的方案因效率低,很难满足实际应用所需。将匿名秘密共享当作一个特定的安全多方计算问题来求解。首先定义并设计若干安全多方计算问题的基础协议,继而提出一个完整的匿名门限秘密共享方案。该方案适宜于任意门限参数,而且真正能够保护参与者的隐私。在秘密恢复时,不需要泄露任何有关参与者身份及共享份额的信息。该方案安全、有效,特别适宜于群组密码中匿名认讧或匿名签名等应用。
There are many important applications for anonymous secret sharing in information security fields, but it is difficult for the known anonymous schemes to meet the practical application requirements due to their low efficiencies. Anonymous secret sharing was defined as a special secure multi-party computation problem and further solved by using the technologies of secure multi-party computation. First, several primary protocols about secure multi-party computa- tion problems were designed and then a whole scheme of anonymous threshold secret sharing was proposed. This scheme can be suitable for any threshold parameter and really preserve the participants' privacy, that is, the secret can be reconstructed without knowledge of which participants hold which shares. The proposed scheme is secure and effi- cient, and especially it is adaptable for anonymous authentication and anonymous signature in group cryptographic sys- tems well.