基于多部秘密共享的存在特权集的门限群签名方案

Threshold Group Signature Scheme with Privilege Subsets Based on Multipartite Secret Sharing

(t,n)门限群签名是指任意t或更多成员合作生成代表群的有效签名。多部秘密共享是指针对特殊的访问结构实现秘密共享。通过引入多部秘密共享技术,提出一种存在特权集的门限群签名方案。在该方案中,任意成员只需保存一个秘密密钥碎片信息,只有满足条件的成员共同参与才能生成有效的群签名,部分成员合谋不能获得关于群秘密密钥的任何信息。该方案具有"特权集"与"门限"特性、秘密共享的"理想"性、签名的不可伪造性、验证的匿名性与身份的可追查性等良好特性。

（t,n） threshold group signature scheme enables t out of n signers to sign messages on behalf of the group.Multipartite access structure can be realized by multipartite secret sharing schemes.Based on multipartite secret sharing,this paper presented a threshold group signature scheme with privilege subsets,where each participant shares a single piece of the secret.A valid signature can only be generated under the cooperation of an authorized set.Every unauthorized set can learn nothing about the secret from their shares.Morever,it has the properties of anonymity and traceability.