A novel threshold signature scheme with distinguished signing authorities

Abstract

Based on Shamir's (t,n) threshold scheme and Schnorr signature, a novel threshold signature scheme was proposed in this work. The proposed scheme not only has the property of threshold signature generation, but also has the property of threshold signature verification. Furthermore, the scheme in this paper are group oriented signature scheme with distinguished signing authorities, in which the signers do not have to sign the whole documents but only a part of the document. At the group signature generation stage, the combiner of group signature can construct a valid signature of the signing group, and no less than <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">k</sup> member in the verifying group can cooperate to verify the validity of the signature.