Vector Space Secret Sharing-Muhisignature Based on Elliptic Curve
基于椭圆曲线的矢量空间秘密共享—多重签名*

A new vector space secret sharing-muhisignature schemes based on access structure was presented. A trusted share distribution center generate the group secret key and distribute the corresponding secret shares to each participant; the group signature can be easily produced if an authorized subset of participants pool their secret shares and it is impossible for them to generate a group signature if an unauthorized subset of participants pool their secret shares. The validity of the partial signature and the group signature can be verified by means of verification equations. A group signature of authorized subset of participants cannot be impersonated by any other set of participants. None of several possible attacks can successfully break this scheme. The length of the signature is much shorter than other one constructed by other measures.