一种改进的椭圆曲线群签名方案  

An Improved Group Signature Scheme for Elliptic Curves

作　　者：邱中保 孟忻怡 宫丹丹 卫培超 黄永清 张平[1] 

机构地区：[1]河南科技大学数学与统计学院,河南 洛阳

出　　处：《应用数学进展》2021年第6期1880-1886,共7页Advances in Applied Mathematics

摘　　要：为了实现群内成员的签名的公开性同时保证签名对群外用户的匿名性,本文提出了一种改进的群签名方案。该方案在椭圆曲线数字签名算法的安全性和高效性基础上,在群内引入两个主体对群进行管理和简化签名过程。算法安全性分析表明,该方案具有不可伪造性、抗密钥泄露、防数据篡改、防陷害性和不可抵赖性。算法效率分析表明,本方案与传统的椭圆曲线数字签名算法相比大大简化了运算复杂度,提高了算法的效率。相较于肖帅等人的方案,总体效率基本相同,但却能在验证方式相同情况下,根据对象所有的公钥类型不同,同时对两类对象实现效果不同的签名。In order to realize the openness of group members’ signatures and ensure anonymity of signatures to users outside the group, an improved group signature scheme is proposed in this paper. Based on the security and efficiency of elliptic curve digital signature algorithm, two agents are introduced to manage the group and simplify the signature process. The algorithm security analysis shows that the scheme is unforgeable, anti-key leakage, anti data tampering, anti framing and non repudiation. The efficiency analysis shows that compared with the traditional elliptic curve digital signature algorithm, this scheme greatly simplifies the computational complexity and improves the efficiency of the algorithm. Compared with scheme of Xiao Shuai, the overall efficiency is basically the same, but under the same verification mode, according to the different public key types of the objects, the two kinds of objects can be signed with different effects.

关 键 词：椭圆曲线 数字签名 求逆运算 匿名性 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]