没有可信机构的矢量空间秘密共享-多重签名方案

提出了一种新的签名方案——没有可信机构的矢量空间秘密共享一多重签名方案．在该方案中，没有可信机构，任意一个参与者都作为一个秘密分发者，该方案是把矢量空间秘密共享方案和多重签名方案结合起来而得到的签名方案，因而能保证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．该方案采用随机数隐藏秘密共享方案分配给各参与者的秘密值，能使一个授权子集的群签名不能被其他参与者子集所伪造，而且可以发现伪造者，同时任何参与者都能检测出错误的子秘密．验证者可通过验证方程验证个体签名和群签名的合法性．

A vector space secret sharing-multisignature scheme without a trusted share distribution center

A vector space secret sharing-multisignature scheme without a trusted share distribution center is proposed. In this scheme, there is no trusted share distribution center, and each participant acts as a trusted share distribution center to generate his secret key and distribute the corresponding secret shares to other participants. This scheme combines the mechanism of the vector space secret sharing scheme with that of multisignature. An authorized subset of participants can easily produce their group signature by pooling their secret shares, but an unauthorized subset of participants cannot produce their group signature by doing so. This scheme uses random numbers to protect the secret values generated by the relative secret sharing algorithm and distributed to the participants. Therefore a group signature of an authorized subset of participants cannot be impersonated by any other set of participants, and forgers can be found. Meanwhile any participant can detect wrong secret shares. The validity of the partial signature and the group signature is verified by means of verification equations.