一种基于椭圆曲线自双线性映射的多秘密共享方案

A Multi-secret Sharing Scheme Based on Self-bilinear Pairing Algorithm Elliptic Curves

分析了Duo Liu等人提出的基于椭圆曲线自双线性映射的多秘密共享方案,发现该方案易遭受分发者/参与者欺诈攻击和广播窃听攻击,并依赖安全信道;提出了一种基于单向散列函数、密钥协商协议和动态多方Deffie-Hellman协议的改进方案,改进方案能抵抗分发者/参与者欺诈攻击和广播窃听攻击,并使方案摆脱对安全信道的依赖.最后对改进方案的安全性进行了分析.

Duolius multi-secret sharing scheme based on self-bilinear pairing over elliptic curves is analyzed. Duolius Scheme is found vulnerable to dealer/participant fraud attack, broadcast wiretap attack, and dependent on secure communi- cation channel. An improved scheme based on hash function, key agreement protocol, and dynamic multi-party Defile-Hell- man protocol is proposed to eliminate the above deficiencies. Security performance is discussed in the end.