改进的门限多代理多重共享验证签名方案

Improved Threshold Multi-proxy Multi-signature Scheme with Shared Verification

针对Tzeng和Hsu等的签名方案存在的秘密泄露及不能实现共享验证问题,通过提高签名和验证秘密多项式的次数,给出一个改进方案。该方案能有效抵抗合谋攻击,实现签名的共享验证。利用拉格朗日插值等相关知识证明了该方案的正确性。

With the problems of secreat leak and unrealized shared verification in Tzeng＇s paper and Hsu＇s, an improved scheme is proposed, by increasing signature and verification secret polynomials＇ degree. This scheme can resist conspiracy attack effectively and actualize shared verification, as it has been justified using Lagrange interpolation and interrelated knowledge.