一种超混沌图像加密算法的安全性分析及其改进

王静; 蒋国平

doi:10.7498/aps.60.060503

摘要

根据Kerckhoff准则, 从选择明文攻击和选择密文攻击出发, 对一种超混沌图像加密算法进行分析,结果表明该算法密钥流与明文无关,并且一个明文字节只能影响一个密文字节,导致利用选择明文攻击和选择密文攻击能够以很小的计算代价破译密文.基于此,本文提出一种改进的超混沌图像加密算法,并进行了统计分析、差分分析、相关性分析及密钥敏感性测试.理论分析及仿真结果表明,改进算法不仅可以抵御选择明文攻击和选择密文攻击,而且具有较好的统计特性及差分特性等密码学特性.

关键词:

Abstract

According to the Kerckhoff principle, a kind of image encryption algorithm based on hyper-chaos is discussed through choosing plaintext attack and ciphertext attack. The result shows that the key stream is independent of plaintext and one plain-text word is correlated with single cipher-text word for the algorithm, which makes the ciphertext decrypted easily with little computing by choosing plaintext and ciphertext attack. Considering the above problems, an improved algorithm based on hyper-chaos is proposed and the performance analysis is conducted, including statistical analysis, differential analysis, correlation analysis and key sensitivity testing. Theoretical analysis and simulation results show that the improved algorithm not only can resist the chosen plaintext attack and chosen ciphertext attack, but also can obtain better cryptographic properties, such as statistical characteristics, difference characteristics and so on.

Keywords:

作者及机构信息

王静¹,
蒋国平²

(1)南京邮电大学控制与智能技术研究中心, 南京 210003; (2)南京邮电大学控制与智能技术研究中心, 南京 210003;南京邮电大学自动化学院, 南京 210003

基金项目: 国家自然科学基金 (批准号:60874091)、江苏省高等学校自然科学基础研究计划 (批准号:08KJD510022)、江苏省"六大人才高峰"资助计划 (批准号:SJ209006)和南京邮电大学引进人才计划 (批准号:NY209021)资助的课题.

Authors and contacts

Wang Jing¹,
Jiang Guo-Ping²

(1)Center for Control and Intelligence Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China; (2)Center for Control and Intelligence Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China; College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

参考文献

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[2]	Yang D G, Liao X F, Wang Y 2009 Chaos Soliton. Fract. 41 505
[3]	Rontani D, Sciamanna M, Locquet A 2009 Phys. Rev. E 80 066209
[4]	Liu S B, Sun J, Xu Z Q 2009 J. Computers 4 1091
[5]	Mazloom S, Eftekhari-Moghadam A M 2009 Chaos Soliton. Fract. 42 1745
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[11]	Xiang T, Liao X F, Tang G P 2006 Phys. Lett. A 349 109
[12]	Sun F Y, Liu S T, Li Z Q 2008 Chaos Soliton. Fract. 38 631
[13]	Behnia S, Akhshana A, Mahmodi H 2008 Chaos Soliton. Fract. 35 408
[14]	Yoon J W, Kim H 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 3998
[15]	Yang H Q, Wong K W 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 3507
[16]	Wang S H, Kuang J Y, Li J H 2002 Phys. Rev. E 66 065202
[17]	Chen C H, Sheu L J, Chen H K 2009 Nonlinear Analysis: Real World Applications 10 2088
[18]	Wang H, Han Z Z, Xie Q Y, Zhang W 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 2239
[19]	Cokal C, Solak E 2009 Phys. Lett. A 373 1357
[20]	Aguilar-Bustos A Y, Cruz-Hernández C, López-Gutiérrez R M, Tlelo-Cuautle E 2010 Hyperchaotic Encryption for Secure E-Mail Communication ( London: Springer London) p471
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施引文献

[1]	Pisarchik A N, Zanin M 2008 Physica D 237 2638
[2]	Yang D G, Liao X F, Wang Y 2009 Chaos Soliton. Fract. 41 505
[3]	Rontani D, Sciamanna M, Locquet A 2009 Phys. Rev. E 80 066209
[4]	Liu S B, Sun J, Xu Z Q 2009 J. Computers 4 1091
[5]	Mazloom S, Eftekhari-Moghadam A M 2009 Chaos Soliton. Fract. 42 1745
[6]	Xu S J, Wang J Z, Yang S X 2008 Chin. Phys. B 17 4027
[7]	Jin J X, Qiu S S 2010 Acta Phys. Sin. 59 792 (in Chinese) [晋建秀、丘水生 2010 物理学报 59 792]
[8]	Baptista M S 1998 Phys. Lett. A 240 50
[9]	Pareek N K, Patidar V 2005 Commun. Nonlinear Sci. Numer. Simulat. 10 715
[10]	Wong K W, Ho S W, Yung C K 2003 Phys. Lett. A 310 67
[11]	Xiang T, Liao X F, Tang G P 2006 Phys. Lett. A 349 109
[12]	Sun F Y, Liu S T, Li Z Q 2008 Chaos Soliton. Fract. 38 631
[13]	Behnia S, Akhshana A, Mahmodi H 2008 Chaos Soliton. Fract. 35 408
[14]	Yoon J W, Kim H 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 3998
[15]	Yang H Q, Wong K W 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 3507
[16]	Wang S H, Kuang J Y, Li J H 2002 Phys. Rev. E 66 065202
[17]	Chen C H, Sheu L J, Chen H K 2009 Nonlinear Analysis: Real World Applications 10 2088
[18]	Wang H, Han Z Z, Xie Q Y, Zhang W 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 2239
[19]	Cokal C, Solak E 2009 Phys. Lett. A 373 1357
[20]	Aguilar-Bustos A Y, Cruz-Hernández C, López-Gutiérrez R M, Tlelo-Cuautle E 2010 Hyperchaotic Encryption for Secure E-Mail Communication ( London: Springer London) p471
[21]	Yao H X, Li M 2009 Inter. J. Nonlin. Sci. 7 379
[22]	Gao T G, Chen Z Q 2008 Phys. Lett. A 372 394
[23]	Rhouma R, Belghith S 2008 Phys. Lett. A 372 5973
[24]	Park J H 2005 Chao Soliton. Fract. 26 959

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