矢量空间访问结构上的秘密共享RSA数字签名体制

A secret sharing RSA digital signature scheme based onthe vector space access structure

构造了一种新的签名体制,即矢量空间访问结构上的秘密共享RSA数字签名体制.该体制在有限环中建立矢量空间秘密共享方案,使N个参与者共享RSA签名体制的秘密密钥,能保证矢量空间访问结构Γ中参与者的授权子集生成有效的RSA群签名,而参与者的非授权子集不能生成有效的RSA群签名.与已有体制相比,该体制不需要求逆,具有更广泛的应用范围.

A new digital signature scheme, i.e., the secret sharing RSA digital signature scheme based on the vector space access structure, is proposed, which includes the threshold RSA signature scheme as a particular case. In this scheme, the vector space secret sharing scheme is established in a finite ring, so that N participants share the secret in the RSA signature scheme. This scheme can assure that the group signature can be easily produced by the cooperation of the participants in an authorized subset in the vector space access structure Γ and it is impossible for them to generate a group signature by the cooperation of the participants in an unauthorized subset. Compared with the existing schemes, this scheme does not require inversion operations, and thus can find wide applications.