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前向安全的椭圆曲线数字签名方案

张平 栗亚敏

计算机工程与应用2020,Vol.56Issue(1):115-120,6.
计算机工程与应用2020,Vol.56Issue(1):115-120,6.DOI:10.3778/j.issn.1002-8331.1810-0283

前向安全的椭圆曲线数字签名方案

Forward Secure Elliptic Curve Digital Signature Scheme

张平 1栗亚敏1

作者信息

  • 1. 河南科技大学 数学与统计学院,河南 洛阳 471000
  • 折叠

摘要

Abstract

Combining the advantages of Elliptic Curve Cryptosystem with the concept of forward security, the method of system time division is introduced to reduce the loss caused by key leakage on the basis of Elliptic Curve Digital Signature Algorithm(ECDSA), and a forward security signature scheme(improved scheme)based on elliptic curve is constructed. Security analysis shows that the scheme is not only robust to random number attacks, but also forward secure based on Elliptic Curve Discrete Logarithm Problem(ECDLP)under the random oracle model. The analysis of arithmetic operation shows that the improved scheme has one multiplying points, two modular multiplications and two modular inversion operations less than the ECDSA scheme in signature generation and verification. The results of MATLAB show that the improved scheme is more efficient than ECDSA scheme and Zhou Keyuan scheme with the forward security.

关键词

椭圆曲线/密钥演化/随机预言模型/前向安全/数字签名

Key words

elliptic curve/key evolution/random oracle model/forward security/digital signature

分类

信息技术与安全科学

引用本文复制引用

张平,栗亚敏..前向安全的椭圆曲线数字签名方案[J].计算机工程与应用,2020,56(1):115-120,6.

基金项目

国家自然科学基金(No.11401172) (No.11401172)

河南省科技厅科技攻关项目(No.162102210047). (No.162102210047)

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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