A signature scheme with shared verification based on verifiable secret sharing

First, an existing signature scheme with (t,n) shared verification is analyzed, and its security weak points are found. These weak points can result in the adversary to cheat the verification group by forgery and substitution attack. Next, using the techniques of verifiable secret sharing, a secure signature shceme with shared verification based on the discrete logarithm is proposed, which has a novel property that the previous signature schemes with shared verification do not have, that is, to prevent the signer and members of the verification group from cheating.