Digital signature scheme based on secret sharing

Abstract

As for the security of digital signature,this paper takes advantage of the discrete logarithm problem and zeroknowledge proof protocol,combines with( t,n) threshold signature scheme and the identity of the participants,and presents a digital signature scheme based on secret sharing. In the scheme,there is no trusted key distribution center,and the secret share of the participants is generated by the participants themselves and can be used repeatedly,furthermore,the identity of the participants is generated by their own secret share. Only the public information can be updated,which will not affect the participants' secret share. Anyone can detect whether the dealer is cheating the participants or whether there is cheating between participants. Only the authorized subset client can represent group to sign; the generation and verification of the partial signature and group signature are effective. The discrete logarithm problem and zero-knowledge proof protocol guarantees the security of information transmission,which further improves the security of the scheme. The analysis indicates that the scheme is safe and efficient.