基于特征值的可验证三方安全密钥交换协议

张艳硕; 王泽豪; 王志强; 陈辉焱

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

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基于特征值的可验证三方安全密钥交换协议

学术通信 | 更新时间：2024-06-05

- 基于特征值的可验证三方安全密钥交换协议
- Verifiable three-party secure key exchange protocol based on eigenvalue
- 通信学报 2019年40卷第12期页码：149-154
- 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：
  
  [ "张艳硕（1979– ），男，陕西宝鸡人，博士，北京电子科技学院副教授，主要研究方向为密码理论及其应用" ]
  [ "王泽豪（1994- ），男，河南新乡人，数据通信科学技术研究所助理工程师，主要研究方向为信息隐藏技术及其应用" ]
  [ "王志强（1984– ），男，安徽宿州人，博士，北京电子科技学院讲师，主要研究方向为密码技术及其应用" ]
  [ "陈辉焱（1968– ），男，山东菏泽人，博士，北京电子科技学院研究员级高级工程师，主要研究方向为公钥密码" ]
- 基金信息：
  
  中国民航信息技术科研基金资助项目(CAAC-ITRB-201705);信息网络安全公安部重点实验室开放基金资助项目(C17608);中央高校基本科研业务费项目(328201902)
- DOI：10.11959/j.issn.1000-436x.2019233
  中图分类号： TN911.7
- 网络出版日期：2019-12，
  
  纸质出版日期：2019-12-25
- 稿件说明：
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张艳硕, 王泽豪, 王志强, 等. 基于特征值的可验证三方安全密钥交换协议[J]. 通信学报, 2019,40(12):149-154.

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.
张艳硕, 王泽豪, 王志强, 等. 基于特征值的可验证三方安全密钥交换协议[J]. 通信学报, 2019,40(12):149-154. DOI： 10.11959/j.issn.1000-436x.2019233.

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

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