一种新的动态门限数字签名方案研究

Research on a New Dynamic Threshold Digital Signature Scheme

针对动态门限数字签名方案存在的计算域过大、合谋伪造攻击等问题,文章提出了一种新的动态门限数字签名方案。文章先以多门限值多秘密共享协议为基础,设计了一种新的成员密钥分发方案,利用新的密钥分发方案结合超椭圆曲线公钥密码体制(HECC)给群成员分发密钥、计算全体成员的公钥及群公钥,接着以EIGamal型数字签名方案为基础设计了一个新的动态门限数字签名方案。该方案允许在群体中共享多个组公钥,每个组公钥对应一个不同的门限值。新的方案与当前方案相比具有较小的计算域,通过定理也证明了新方案的正确性且能够抵抗各种伪造攻击。

The paper presents a new dynamic threshold digital signature scheme to solve two problems of current dynamic threshold digital signature which are big computational field and conspiracy forgery attack. At first, we design a new key distribution scheme which is based on the multi-threshold multi-secret sharing protocol. It will hand keys out to group members and compute group public keys and group member public keys by using the new key distribution scheme and hyperelliptic curve cryptosystems. At last a dynamic threshold digital signature scheme is proposed according to EIGamal＇s digital signature scheme. In the proposed scheme, multiple group public keys are shared among a group of signers, and each group public key has its specific threshold value.The new scheme has small computational field comparing with current schemes, and it is proved to be correct and is able to resist many forgery attacks according to theorems.