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本文把矢量空间秘密共享方案与多重签名方案结合起来 ,提出了一种新的签名方案 ,即矢量空间秘密共享 -多重签名方案 ,并对该方案的安全性进行了分析 .在该方案中 ,任何参与者的授权子集能容易地产生群签名 ,而参与者的非授权子集不可能产生有效的群签名 ,验证者可通过验证方法验证个体签名和群签名的合法性 .该方案能保证一个参与者的授权子集的群签名不能被其他参与者子集所伪造 ,而且可以跟踪被怀疑的伪造者并将其曝光 .该方案能抵御各种可能的攻击 .
In this paper, we combine the scheme of vector space secret sharing and multi-signature scheme, and propose a new signature scheme, that is, vector space secret sharing-multiple signature scheme, and analyze the security of the scheme.In this scheme, any Participant’s authorized subset can easily generate group signature, but participants’ non-authorized subset can not generate valid group signature, and verifier can verify the validity of individual signature and group signature by means of verification. This scheme can guarantee a The group signature of the participant’s Authorized Subset can not be faked by a subset of other participants, and it can track and expose suspect counterfeiters. The program can withstand all possible attacks.