基于扩展混沌映射的认证密钥协商协议

舒剑

doi:10.7498/aps.63.050507

摘要

近年来，基于混沌映射和智能卡的认证密钥协商协议被相继提出. 然而，防篡改读卡器使得这类协议的实现成本较高并且很难在实际中广泛应用. 另外，基于混沌映射的数字签名方案需要很高的计算资源，这使得依赖签名方案的公钥发布存在安全问题. 据此，本文基于扩展混沌映射提出一种新的无智能卡的认证密钥协商协议. 新协议消除了公钥发布过程. 安全和性能分析表明，新协议能抵抗各类攻击并且计算复杂度较低. 因此，新协议更适合在实际环境中应用.

关键词:

Abstract

Recently, many chaotic maps-based authenticated key agreement protocols using smart cards have been proposed. Unfortunately, tamper-resistant card readers make these protocols costly and unpractical. In addition, the digital signature scheme based on chaotic maps requires high computational resources. There exists security problem in publishing public keys which depend on signature schemes. In this paper, we will present a novel authenticated key protocol without smart cards while using extended Chebyshev maps. The proposed protocol eliminates the process of publishing the public key. Security and performance analysis show that our protocol can resist various attacks and yet is reasonably efficient. Therefore, our protocol is more suitable for practical applications.

Keywords:

作者及机构信息

舒剑^{1 2}

1.
江西财经大学电子商务系, 南昌 330013;

2.
电子科技大学计算机科学与工程学院, 成都 611731

基金项目: 国家自然科学基金（批准号：61163053）资助的课题.

Authors and contacts

Shu Jian^{1 2}

1.
Department of Electronic Commerce, Jiangxi University of Finance and Economics, Nanchan 330013, China;

2.
School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61163053).

参考文献

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[2]	Liu Q, Fang J Q, Zhao G, Liu Y 2012Acta Phys. Sin. 61 130508 (in Chinese) [刘强, 方锦清, 赵耿, 李永 2012 物理学报 61 130508]
[3]	Wang X Y, Bao M M 2013 Chin. Phys. B 22 050508
[4]	Xiao D, Liao X, Deng S 2005 Chaos Soliton. Fract. 24 65
[5]	He T T, Luo X S, Liao Z X, Wei Z C 2012 Acta Phys. Sin. 61 110506 (in Chinese) [何婷婷, 罗晓曙, 廖志贤, 韦正丛 2012 物理学报 61 110506]
[6]	Wang F L 2011 Acta Phys. Sin. 60 110517 (in Chinese) [王福来 2011 物理学报 60 110517]
[7]	Chen T M, Jiang R R 2013 Acta Phys. Sin. 62 040301 (in Chinese) [陈铁明, 蒋融融 2013 物理学报 62 040301]
[8]	Bergamo P, Arco P, Santis A, Kocarev L 2005 IEEE Tran. Circuits. 52 1382
[9]	Han S Chang E 2009Chaos Soliton. Fract. 39 1283
[10]	Kocarev L, Tasev Z 2003 Proceedings of the 38th International Symposium on Circuits and Systems Bangkok, Thailand, May 25-28, 2003 p28
[11]	Xiao D, Liao X F, Deng S J 2007 Inf. Sci. 177 1136
[12]	Xiao D, Liao X, Wong K 2005 Chaos Soliton. Fract. 23 1327
[13]	Xiang T, Wong K, Liao X 2009 Chaos Soliton. Fract. 40 672
[14]	Wang X Y, Luan D P 2013 Chin. Phys. B 22 110503
[15]	Tseng H R, Jan R H, Yang W 2009 Proceedings of the 13th International Conference on Communications Dresden, Germany, June 14-18, 2009 p1
[16]	Niu Y J, Wang X Y 2011 Commun. Nonlinear Sci. Numer. Simul 16 1986
[17]	Yoon E J 2012 Commun. Nonlinear Sci. Numer. Simul. 17 2735
[18]	Lee C, Chen C, Wu C, Huang S 2012 Nonlinear Dyn. 69 79
[19]	He D, Chen Y 2012 Nonlinear Dyn. 69 1149
[20]	Xue K, Hong P 2012 Commun. Nonlinear Sci. Numer. Simul. 17 2969
[21]	Zhao F J, Gong P, Li S 2013 Nonlinear Dyn. 74 419
[22]	Guo X, Zhang J 2010 Inf. Sci. 180 4069
[23]	Gong P, Li P, Shi W B 2012 Nonlinear Dyn. 70 2401
[24]	Zhang L 2008 Chaos Soliton. Fract. 37 669

施引文献

[1]	Wei J, Liao X, Wong K, Xiang T 2006 Chaos Soliton. Fract. 30 1143
[2]	Liu Q, Fang J Q, Zhao G, Liu Y 2012Acta Phys. Sin. 61 130508 (in Chinese) [刘强, 方锦清, 赵耿, 李永 2012 物理学报 61 130508]
[3]	Wang X Y, Bao M M 2013 Chin. Phys. B 22 050508
[4]	Xiao D, Liao X, Deng S 2005 Chaos Soliton. Fract. 24 65
[5]	He T T, Luo X S, Liao Z X, Wei Z C 2012 Acta Phys. Sin. 61 110506 (in Chinese) [何婷婷, 罗晓曙, 廖志贤, 韦正丛 2012 物理学报 61 110506]
[6]	Wang F L 2011 Acta Phys. Sin. 60 110517 (in Chinese) [王福来 2011 物理学报 60 110517]
[7]	Chen T M, Jiang R R 2013 Acta Phys. Sin. 62 040301 (in Chinese) [陈铁明, 蒋融融 2013 物理学报 62 040301]
[8]	Bergamo P, Arco P, Santis A, Kocarev L 2005 IEEE Tran. Circuits. 52 1382
[9]	Han S Chang E 2009Chaos Soliton. Fract. 39 1283
[10]	Kocarev L, Tasev Z 2003 Proceedings of the 38th International Symposium on Circuits and Systems Bangkok, Thailand, May 25-28, 2003 p28
[11]	Xiao D, Liao X F, Deng S J 2007 Inf. Sci. 177 1136
[12]	Xiao D, Liao X, Wong K 2005 Chaos Soliton. Fract. 23 1327
[13]	Xiang T, Wong K, Liao X 2009 Chaos Soliton. Fract. 40 672
[14]	Wang X Y, Luan D P 2013 Chin. Phys. B 22 110503
[15]	Tseng H R, Jan R H, Yang W 2009 Proceedings of the 13th International Conference on Communications Dresden, Germany, June 14-18, 2009 p1
[16]	Niu Y J, Wang X Y 2011 Commun. Nonlinear Sci. Numer. Simul 16 1986
[17]	Yoon E J 2012 Commun. Nonlinear Sci. Numer. Simul. 17 2735
[18]	Lee C, Chen C, Wu C, Huang S 2012 Nonlinear Dyn. 69 79
[19]	He D, Chen Y 2012 Nonlinear Dyn. 69 1149
[20]	Xue K, Hong P 2012 Commun. Nonlinear Sci. Numer. Simul. 17 2969
[21]	Zhao F J, Gong P, Li S 2013 Nonlinear Dyn. 74 419
[22]	Guo X, Zhang J 2010 Inf. Sci. 180 4069
[23]	Gong P, Li P, Shi W B 2012 Nonlinear Dyn. 70 2401
[24]	Zhang L 2008 Chaos Soliton. Fract. 37 669

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