基于切比雪夫多项式的匿名认证协议设计与研究

发布时间：2019-05-18 13:53

【摘要】：随着网络技术的飞速发展,人们的生活将与网络更加紧密相连,网络安全问题越来越为人们所关注。基于密码学的安全认证协议能够在开放而又复杂的网络环境中保证人们的通信安全,因此吸引了许多专家学者在这方面进行深入研究。认证协议的设计往往希望更加高效,更加安全,基于切比雪夫多项式的安全认证协议比传统的基于RSA或椭圆曲线密码的安全认证协议拥有更高的计算效率,近些年来,关于这方面的研究成果也越来越多。本文主要研究了基于切比雪夫多项式的匿名认证协议。简要回顾了 Zhu的协议之后,我们指出了其协议存在的五个问题:存在用户模仿攻击,不能提供用户匿名性,容易遭受离线字典攻击,口令更改方案效率低,登录阶段设计存在缺陷。随后我们基于Zhu的协议,提出了一个新的基于切比雪夫多项式的认证协议,该协议无论是在安全性能还是计算效率上都更加出色,能够抵抗所有常见的攻击。我们又继续提出了一个基于切比雪夫多项式的三方认证协议,该协议仍然能够提供匿名性,并且加入了可信第三方,使得协议能够适用于更大规模的网络环境。本文的主要内容安排如下:第一章介绍了基于切比雪夫多项式的安全协议研究背景和研究现状。第二章介绍了后续章节中将会用到的一些基本概念和理论。第三章回顾了 Zhu提出的基于切比雪夫多项式的安全协议并分析了其存在的安全缺陷。第四章基于Zhu提出的协议,提出了一个改进的协议,并进行了安全性分析,BAN逻辑形式化证明,最后同其他相关协议进行了性能比较。第五章提出了一个基于切比雪夫多项式的三方认证协议,并进行了安全性分析和形式化安全证明,最后同其他相关协议进行了性能比较。第六章总结全文以及研究展望。
[Abstract]:With the rapid development of network technology, people's life will be more closely related to the network, and more attention will be paid to the problem of network security. Cryptography-based security authentication protocol can ensure people's communication security in an open and complex network environment, so it has attracted many experts and scholars to carry out in-depth research in this field. The design of authentication protocol often wants to be more efficient and more secure. The security authentication protocol based on Chebyshev multinomial has higher computational efficiency than the traditional security authentication protocol based on RSA or Elliptic Curve Cryptography. In recent years, There are more and more research results in this field. In this paper, the anonymous authentication protocol based on Chebyshev multinomial is studied. After briefly reviewing the protocol of Zhu, we point out five problems in its protocol: the existence of user impersonation attack, which can not provide user anonymity, the vulnerability to offline dictionary attack, and the low efficiency of password change scheme. There are defects in the login phase design. Then, based on the Zhu protocol, we propose a new authentication protocol based on Chebyshev multinomial, which is better in security performance and computational efficiency, and can resist all common attacks. We continue to propose a tripartite authentication protocol based on Chebyshev multinomial, which can still provide anonymity and join a trusted third party, so that the protocol can be applied to a larger network environment. The main contents of this paper are as follows: in the first chapter, the research background and present situation of security protocol based on Chebyshev Polynomials are introduced. The second chapter introduces some basic concepts and theories that will be used in the following chapters. In chapter 3, the security protocol based on Chebyshev multinomial proposed by Zhu is reviewed and its security defects are analyzed. In the fourth chapter, based on the protocol proposed by Zhu, an improved protocol is proposed, and the security analysis is carried out, and the formal proof of BAN logic is carried out. Finally, the performance of the protocol is compared with that of other related protocols. In chapter 5, a tripartite authentication protocol based on Chebyshev multinomial is proposed, and the security analysis and formal security proof are carried out. finally, the performance of the protocol is compared with that of other related protocols. The sixth chapter summarizes the full text and research prospects.
【学位授予单位】：武汉大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TP393.08

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