Verifiable three-party secure key exchange protocol based on eigenvalue

Yanshuo ZHANG; Zehao WANG; Zhiqiang WANG; Huiyan CHEN

doi:10.11959/j.issn.1000-436x.2019233

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Verifiable three-party secure key exchange protocol based on eigenvalue

Correspondences | 更新时间：2024-06-05

- Verifiable three-party secure key exchange protocol based on eigenvalue
- Journal on Communications Vol. 40, Issue 12, Pages: 149-154(2019)
- 作者机构：
  
  1. 北京电子科技学院密码科学与技术系，北京 100070
  2. 密码科学技术国家重点实验室，北京 100878
  3. 数据通信科学技术研究所系统安全部，北京 100191
- 作者简介：
- 基金信息：
  
  The Information Technology Research Base of Civil Aviation Administration of China(CAAC-ITRB-201705);The Opening Project of Key Lab of Information Network Security of Ministry of Public Security(C17608);Fundamental Research Funds for the Central Universities(328201902)
- DOI：10.11959/j.issn.1000-436x.2019233
  CLC： TN911.7
- Online First：2019-12，
  
  Published：25 December 2019
- 稿件说明：
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Yanshuo ZHANG, Zehao WANG, Zhiqiang WANG, et al. Verifiable three-party secure key exchange protocol based on eigenvalue[J]. Journal on Communications, 2019, 40(12): 149-154.
DOI：

Yanshuo ZHANG, Zehao WANG, Zhiqiang WANG, et al. Verifiable three-party secure key exchange protocol based on eigenvalue[J]. Journal on Communications, 2019, 40(12): 149-154. DOI： 10.11959/j.issn.1000-436x.2019233.

摘要

为解决传统密钥交换协议无法进行三方密钥协商，不够灵活且安全性存在缺陷的问题，借助于秘密矩阵特征值，首先提出了一种可以抵御中间人攻击且简单灵活的三方密钥交换方案，但该方案无法对密钥交换的有效性进行验证，即无法防止不被中间人伪造。在此基础上，对秘密矩阵进行重新构建，其中矩阵阶数为大偶数，所有的特征值成对出现，相似于对角阵。基于所提的特殊秘密矩阵，引入验证环节对通信方的合法性进行验证，给出了基于特征值的可验证三方密钥交换协议。该协议既解决了三方密钥交换的问题，又可对身份合法性进行验证，证明基于特征值进行三方密钥交换协议设计是可行的，最终设计的协议兼具安全性和高效性。

Abstract

In order to solve the problem that the traditional key exchange protocol

which was not flexible enough and flawed in security

cannot provide the function of three-party key negotiation

firstly

a simple and flexible three-party key exchange scheme that can resist man-in-the-middle attacks was proposed with the help of secret matrix eigenvalues.However

the validity of key exchange cannot be verified by the scheme

and counterfeiting by middlemen can’t be prevented.Then based on it

the secret matrix was reconstructed

where the matrix order was a large even number

and all the eigenvalues appeared in pairs

similar to the diagonal matrix.Based on the special secret matrix

the verification part which can be used to verify the legitimacy of the communication party was introduced to the scheme

and the verifiable three-party key exchange protocol based on the eigenvalue was given.The protocol not only solved the problem of three-party key exchange

but also verified identity legitimacy.It is proved that it’s feasible to design a three-party key exchange protocol by the eigenvalue.The final protocol is both secure and efficient.

关键词

Keywords

references

ZHANG W , WANG F Y . The GRE over IPsec VPN research and implementation of combining with the construction scheme of NAT [J ] . Journal of Shandong University of Technology , 2017 ( 3 ): 87 - 90 .

ZAGHAL R , SALAH S , JABALI N . Extending AES with DH key-exchange to enhance VoIP encryption in mobile networks [C ] // World Conference on Information Systems and Technologies . IEEE , 2018 : 435 - 462 .

LI C T , CHEN C L , LEE C C , et al . A novel three-party password-based authenticated key exchange protocol with user anonymity based on chaotic maps [J ] . Soft Computing , 2017 ( 6 ): 1 - 12 .

FARASH M S , ATTARI M A . An efficient and provably secure three-party password-based authenticated key exchange protocol based on Chebyshev chaotic maps [J ] . Nonlinear Dynamics , 2014 , 77 ( 1-2 ): 399 - 411 .

WANG X , ZHAO J . An improved key agreement protocol based on chaos [J ] . Communications in Nonlinear Science and Numerical Simulation , 2010 , 15 ( 12 ): 4052 - 4057 .

叶茂 , 胡学先 , 刘文芬 . 基于格的三方口令认证密钥交换协议 [J ] . 电子与信息学报 , 2013 , 35 ( 6 ): 1376 - 1381 .

YE M , HU X X , LIU W F . Password authenticated key exchange protocol in the three party setting based on lattices [J ] . Journal of Electronics and Information Technology , 2013 , 35 ( 6 ): 1376 - 1381 .

王元元 . 三方认证密钥交换协议研究 [D ] . 上海:上海交通大学 , 2010 .

WANG Y Y . Research on three-party authenticated key exchange protocol [D ] . Shanghai:Shanghai Jiao Tong University , 2010 .

林远辉 . 基于口令的三方认证密钥交换协议研究 [D ] . 济南:山东大学 , 2014 .

LIN Y H . Research on three-party authentication key exchange protocol based on password [D ] . Jinan:Shandong University , 2014 .

YOON E J , JEON I S . An efficient and secure Diffie–Hellman key agreement protocol based on Chebyshev chaotic map [J ] . Communications in Nonlinear Science and Numerical Simulation , 2011 , 16 ( 6 ): 2383 - 2389 .

ZHAO F , GONG P , LI S , et al . Cryptanalysis and improvement of a three-party key agreement protocol using enhanced Chebyshev polynomials [J ] . Nonlinear Dynamics , 2013 , 74 ( 1-2 ): 419 - 427 .

LIN T H , LEE T F . Secure verifier-based three-party authentication schemes without server public keys for data exchange in telecare medicine information systems [J ] . Journal of Medical Systems , 2014 , 38 ( 5 ):30.

LV C , MA M , LI H , et al . An novel three-party authenticated key exchange protocol using one-time key [J ] . Journal of Network and Computer Applications , 2013 , 36 ( 1 ): 498 - 503 .

DIFFIE W , HELLMAN M . New directions in cryptography [J ] . IEEE Transactions on Information Theory , 1976 , 22 ( 6 ): 644 - 654 .

KODALI R K , NAIKOTI A . ECDH based security model for IoT using ESP8266 [C ] // International Conference on Control,Instrumentation,Communication and Computational Technologies . IEEE , 2017 : 629 - 633 .

DING J , ALSAYIGH S , LANCRENON J , et al . Provably secure password authenticated key exchange based on RLWE for the post-quantum world [C ] // Cryptographers’ Track at the RSA Conference . Springer International Publishing , 2017 : 183 - 204 .

MATSUMOTO T . On seeking smart public-key distribution systems [J ] . IEICE Trans Fundamental , 1986 , 69 ( 2 ): 224 - 231 .

ZHANG L , WU Q ， DOMINGO-FERRER J , et al . Round-efficient and sender-unrestricted dynamic group key agreement protocol for secure group communications [J ] . IEEE Transactions on Information Forensics ＆ Security , 2017 , 10 ( 11 ): 2352 - 2364 .

LENZ J , MUBAYI D . Eigenvalues of non-regular linear quasirandom hypergraphs [J ] . Discrete Mathematics , 2017 , 340 ( 2 ): 145 - 153 .

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