电信科学 ›› 2015, Vol. 31 ›› Issue (10): 99-102.doi: 10.11959/j.issn.1000-0801.2015202

• 研究与开发 • 上一篇    下一篇

一种基于椭圆曲线的前向安全数字签名

陈辉焱1,袁勇2,万宗杰1,刘乐2,杨毅1   

  1. 1 北京电子科技学院 北京100070
    2 西安电子科技大学 西安 710071
  • 出版日期:2015-10-20 发布日期:2017-07-21
  • 基金资助:
    中央高校基本科研业务费专项资金资助项目;北京电子科技学院重点实验室开放基金课题

A Forward-Secure Digital Signature Based on Elliptic Curve

Huiyan Chen1,Yong Yuan2,Zongjie Wan1,Le Liu2,Yi Yang1   

  1. 1 Beijing Electronic Science and Technology Institute,Beijing 100070,China
    2 Xidian University,Xi’an 710071,China
  • Online:2015-10-20 Published:2017-07-21
  • Supported by:
    The Fundamental Research Funds for the Central Universities;Open Fund of Key Laboratory of Beijing Electronic Science and Technology Institute

摘要:

具有前向安全的数字签名是一种重要的数字签名方案,其要求攻击者即使在 t 时段入侵系统获得签名密钥,也无法伪造 t 时段之前的签名。换句话说,前向安全数字签名确保了密钥泄露时段以前所有签名的有效性。基于椭圆曲线离散对数问题和大数分解问题,构造了一种基于椭圆曲线的前向安全数字签名方案,并且对方案的安全性和效率进行了系统的分析和证明。

关键词: 前向安全, 椭圆曲线, 离散对数, 签名, 大数分解

Abstract:

The forward-secure digital signature is an important digital signature scheme.It requires that even if the attackers have already been given a signature key by invading a system in t time,it still can’t forge signatures before time t.In other words,the forward-secure digital signature provides an assurance that any signatures in the previous periods are still valid before the key compromises.Based on the elliptic curve discrete logarithm problem and the factoring problem,a forward-secure digital signature scheme was put forward,and the safety and efficiency of the program was analyzed and proved systematically.

Key words: forward-secure, elliptic curve, discrete logarithm, signature, factoring

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