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山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (7): 107-114.doi: 10.6040/j.issn.1671-9352.0.2016.026

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两类无证书聚合签名方案的分析与改进

胡江红1,杜红珍1,张建中2   

  1. 1.宝鸡文理学院数学与信息科学学院, 陕西 宝鸡 721013;2.陕西师范大学数学与信息科学学院, 陕西 西安 710062
  • 收稿日期:2016-01-09 出版日期:2016-07-20 发布日期:2016-07-27
  • 作者简介:胡江红(1981— ),女,硕士,讲师,研究方向为密码学与信息安全.E-mail: hjh2005001@163.com
  • 基金资助:
    国家自然科学基金资助项目(61402015);陕西省自然科学基础研究计划项目(2015JM6263);陕西省教育厅专项科研计划项目(15JK1022);宝鸡市科技计划项目(14GYGG-4-2,15RKX-1-5-8);宝鸡文理学院校级项目(YK1618)

Cryptanalysis and improvement of two kind of certificateless aggregate signature schemes

  1. 1. College of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, Shaanxi, China;
    2. College of Mathematics and Information Science, Shaanxi Normal University, Xian 710062, Shaanxi, China
  • Received:2016-01-09 Online:2016-07-20 Published:2016-07-27

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摘要： 基于双线性对提出的无证书聚合签名方案存在安全缺陷和计算效率低的问题。通过对现有两个无证书聚合签名方案的安全性进行分析,指出了第一个方案的聚合签名验证等式存在错误,并且证明了两个方案无法抵抗TypeⅡ的伪造性攻击。最后,给出了一个基于RSA的无证书聚合签名方案,通过RSA问题和DL问题证明了该方案的不可伪造性,与同类方案相比,该方案的效率和安全性更高,实用性更强。

关键词: 无证书密码体制, RSA问题, 双线性对, 聚合签名

Abstract: According to the existing certificateless aggregate signature schemes presented based on bilinear pairings, lots of them have the security flaws and low computational efficiency problem. The security of two certificateless aggregate signature schemes proposed was analyzed, and it is found that the verify equation in the first scheme is not right and the two schemes can not resist forgery attack under TypeⅡ. Finally, an improved scheme based on RSA without bilinear pairing was proposed in this paper. Based on the RSA assumption and the DL problem, it is proved that the new scheme is existentially unforgeable. Compared with other schemes, the new scheme is more efficient and secure.

Key words: aggregate signature, bilinear pairing, certificateless cryptography, RSA assumption

中图分类号: 

  • TP309
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