基于HECC的门限群签密研究

Threshold Group Signcryption based on HECC

分析了已有的门限群签密方案,针对现有方案中抗合谋攻击及身份追查等不足的问题,在(t,n)门限签密的基础上,基于HECC提出了一种可抗合谋攻击、身份可追查的高安全性门限群签密方案。该方案在可抵御合谋攻击的同时,可分辨攻击是来自于群成员还是外部,并可针对群成员的欺诈行为进行身份追查。该方案的安全性是建立在超椭圆曲线离散对数问题的难解性上,在保障安全的同时,也具备了HECC的诸多优点。

This paper analyzes the existing threshold group signcryption schemes,and aiming at the problems of anti-conspiracy attack and limited identity-tracing and with（ t,n） signcryption as the basis,proposes a more secure threshold group signcryption scheme based on HECC（ Hyperelliptic Curve Cryptosystem）. This scheme could effectively resist conspiracy and distinguish between external attacks and internal attacks,and meanwhile carry out identity-tracing in accordance with the fraudulent practice of group members. Scheme security relies on the difficult solution of discrete logarithm problem of hyperelliptic curve,and thus to guarantee security while enjoy many advantages of HECC.