Distributed group signature scheme for authorized subsets
Weifan Zheng · Jisuanji yingyong yanjiu · 2009
In order to overcome the limitations of the threshold signature scheme,this paper proposed a distributed group signature scheme for small number of authorized subsets in a group by combining a vector space secret sharing scheme and RSA digital signature scheme.For a group with N members and less than N authorized subsets,unlike threshold signature schemes,arbitrary authorized subsets could sign message on behalf of the group,while any other subsets could not sign message on behalf of the group.The individual signature combiner could easily verify the individual signatures issued by the group members,and the validity of the group signature could also be checked easily.On the security analysis of the scheme,the adversary has no means to acquire the system secret,hence he can forge neither the individual signatures nor the group signature.Even malicious group members cannot prevent the members from the honest authorized subsets to generate the valid group signatures.