电子学报 ›› 2013, Vol. 41 ›› Issue (2): 214-219.DOI: 10.3969/j.issn.0372-2112.2013.02.002

• 学术论文 • 上一篇    下一篇

一种基于二次型的无线传感器网络密钥管理方案

王小刚, 石为人, 周伟, 高鹏, 蒋亿松   

  1. 重庆大学自动化学院,重庆 400044
  • 收稿日期:2012-05-02 修回日期:2012-08-06 出版日期:2013-02-25
    • 作者简介:
    • 王小刚 男,1984年2月出生,陕西宝鸡人.2008进入重庆大学自动化学院硕博连读,现为博士生.主要研究方向为无线传感器网络、普适计算,建筑节能等. E-mail:wxg_zf@yahoo.com.cn;wxg_zf@163.com石为人 男,1948年10月出生,重庆市人.教授、博士生导师.主要研究方向为信息控制与智能系统、无线传感器网络及其应用、嵌入式系统、普适计算等. E-mail:wrs@cqu.edu.cn
    • 基金资助:
    • 国家科技支撑计划 (No.2011BAJ03B13)

A Key Management Scheme Based on Quadratic Form for Wireless Sensor Network

WANG Xiao-gang, SHI Wei-ren, ZHOU Wei, GAO Pen, JIANG Yi-song   

  1. College of Automation, Chongqing University, Chongqing, 400044, China
  • Received:2012-05-02 Revised:2012-08-06 Online:2013-02-25 Published:2013-02-25

摘要: 针对现有的基于多项式的密钥预分配管理方案受限于节点间密钥共享率和网络连通率等问题,文中提出了一种基于二次型的无线传感器密钥管理方案.该方案突破现有二元t次对称多项式建立共享密钥的思路,引入多元非对称二次型多项式,利用二次型特征值与特征向量之间的关系,分析证明二次型正交对角化的特性,生成密钥信息,节点则通过交换密钥信息实现身份认证,生成与邻居节点之间独立唯一的会话密钥.性能分析表明,与现有的密钥管理方案相比,方案在抗俘获性、连通性、可扩展性、通信开销和存储开销上有较大的改进.

关键词: 无线传感器网络, 密钥管理, 二次型, 特征值, 特征向量

Abstract: This paper presents a key management scheme based on quadratic form polynomial for wireless sensor network (WSN) for the problems that some existing key pre-distribution schemes are limited in key sharing and network connectivity probability between neighbor nodes.It beyonds the current ideas for establishing shared key based on quadratic symmetric polynomial and presents the multiple asymmetric quadratic form polynomial,and analyzes the orthogonal diagonalization properties of quadratic form to generate the key information by the relationship between eigenvalues and eigenvectors of the quadratic form,the nodes could achieve identification and generate the unique session keys between the neighbor nodes through exchanging the key information.Compared to some existing key pre-distribution schemes,the analysis of performance show that this scheme could resist captive,have good scalability and connectivity,and have a lower storage cost,a lower communication overhead.

Key words: wireless sensor network, key management, quadratic form, eigenvalues, eigenvectors

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