计算机科学 ›› 2016, Vol. 43 ›› Issue (8): 100-104.doi: 10.11896/j.issn.1002-137X.2016.08.021

• 信息安全 • 上一篇    下一篇

一种基于广义混沌同步系统的图像加密方案

柴宏玉,臧鸿雁   

  1. 北京科技大学数理学院 北京100083,北京科技大学数理学院 北京100083
  • 出版日期:2018-12-01 发布日期:2018-12-01
  • 基金资助:
    本文受国家自然科学基金(61170037)资助

Image Encryption Scheme Based on Generalized Chaotic Synchronization Systems

CHAI Hong-yu and ZANG Hong-yan   

  • Online:2018-12-01 Published:2018-12-01

摘要: 传统图像加密技术和低维混沌加密技术都有各自的局限性,而高维混沌映射比低维映射具有更复杂的动力学行为以及更好的随机性。在离散混沌广义同步定理的基础上构造了一种四维离散广义混沌同步系统,并设计了一种图像加密方案。 对加密图像进行了安全性测试,如分布直方图、相邻像素相关系数、密文信息熵、密钥敏感性、密钥空间和雪崩效应等。理论分析和数值实验表明,该加密方案的密钥空间达到10288,具有较强的抗攻击性能;对混沌系统参数及初始条件极其敏感,符合保密通信的要求。

关键词: 保密通信,图像加密,广义混沌同步

Abstract: Many people apply the low-dimension chaotic map to encryption,however,the high-dimension map is more complex and has more parameters.Firstly,a 4-dimensional generalized chaotic synchronization (GCS) system was constructed based on generalized chaotic synchronization theorem.Combining this system,we designed a digital image encryption scheme,which can successfully encrypt and decrypt color images without any distortion.Secondly,performance test and security analysis were performed by using key space analysis and the pixels distribution character,correlation coefficients,the key sensitivity test,information entropy and avalanche effect. The results of analysis and simulation show that the key space of the image encryption scheme is more than 10288 and it has strongly anti-attacking perfor-mance. Additionally,the scheme is extremely sensitive to the system’s parameters and initial conditions.Results suggest that the image scheme is effective in network communication.

Key words: Secure communication,Image encryption,Generalized chaotic synchronization

[1] Wu Wen-juan,Chen Zeng-qiang,Yuan Zhu-zhi.The evolution of a novel four-dimensional autonomous system:Among 3-torus,limit cycle,2-torus,chaos and hyper[J].Chaos Solition & Fractals,2009,9(5):2340-2356
[2] Li Zhen-bo,Tang Jia-shi.Chaotic synchronization with parameter perturbation and its secure communication scheme[J].Control Theory & Applications,2014,31(5):592-600(in Chinese) 李震波,唐驾时.参数扰动下的混沌同步控制及其保密通信方案[J].控制理论与应用,2014,1(5):592-600
[3] Huang Li-lian,Yin Qi-tian.A chaos synchronization secure communication system based on output control[J].Journal of Electronics & Information Technology,2009,1(10):2402-2405(in Chinese) 黄丽莲,尹启天.基于输出控制的混沌同步保密通信系统[J].电子与信息学报,2009,1(10):2402-2405
[4] Guo Cheng,Chang Chin-chen,Sun Chin-yu.Chaotic maps-based mutual authentication and key agreement using smart cards for wireless communi cations[J].Journal of Information Hiding and Multimedia Signal Processing,2013,4(2):99-109
[5] Zang Hong-yan,Min Le-quan,Zhao Geng.A generalized synchronization theorem for discret-time chaos system with application in data encryption scheme[C]∥Proceeding of the 2007 Int.Conf.on Communications.Konkuoka Japan:Circuit and Systems,2007:1325-1329
[6] Liu Shu-tang,Zhang Fang-fang.Complex function projectivesynchronization of complex chaotic system and its applications in secure communication[J].Nonlinear Dynamics,2014,76(2):1087-1097
[7] Sheikhan M, Shahnazi R.Synchronization of general chaoticsystems using neural controllers with application to secure communication[J].Neural Computing and Applications,2013,22(2):361-373
[8] Min Le-quan,Chen Guo-rong.Generalized synchronization in an array of nonlinear dynamic systems with applications to chaotic cnn [J].International Journal of Bifurcation and Chaos,2013,23(1):1350016-1-1350016-53
[9] Abdurahman K,Askar H,Guo Wen-qiang.Color image encryption using skew tent map and hyper chaotic system of 6th-order CNN [J].Optik-International Journal for Light and Electron Optics,2014,125(5):1671-1675
[10] Zhu He-gui,Zhao Cheng,Zhang Xiang-de.A novel image encryption-compression scheme using hyper-chaos and Chinese remainder theorem[J].Signal Processing,2013,28(6):670-680
[11] Edi S,Suryadi M T,Agus M M.The implementation of henon map algorithm for digital image encryption [J].Telkomnika,2015,12(3):2775-2780
[12] Guan Zhi-hong,Huang Fang-jun,Guan Wen-jie.A Chaos-based image encryption algorithm [J].Physics Letters A,2005,346(1):153-157
[13] Wang Shi-hong,Kuang Jin-yu,Li Jing-hua,et al.Chaos-based secure communications in a large community [J].Phys Rev E,2002,66(6):65202
[14] Wang Jing,Jiang Guo-ping.Cryptanalysis of a hyper-chaotic ima-ge encryption algorithm and its improved version[J].Acta Phys.Sin.,2011,60(6):83-93(in Chinese) 王静,蒋国平.一种超混沌加密图像加密算法的安全性分析及其改进[J].物理学报,2011,60(6):83-93
[15] Zhu Cong-xu,Hu Yu-ping,Sun Ke-hui.New image encryption algorithm based on hyperchaotic system and ciphertext diffusion in crisscross pattern[J].Journal of Electronics & Information Technology,2012,34(7):1735-1743(in Chinese) 朱从旭,胡玉平,孙克辉.基于超混沌系统和密文交错扩散的图像加密新算法[J].电子与信息学报,2012,34(7):1735-1743
[16] Chen Jun-xin,Zhu Zhi-liang,Fu Chong,et al.A fast image encryption scheme with a novel pixel swapping-based confusion approach [J].Nonlinear Dynamics,2014,77(4):1191-1207
[17] Xu Dao-lin,Chin Y C,Li Chang-pin.A necessary condition ofprojective synchronization in discrete-time systems of arbitrary dimensions[J].Chaos Solitons and Fractals,2004,2(1):175-180
[18] Liu Hong-jun,Wang Xing-yuan.Triple-image encryption scheme based on one-time key stream generated by chaos and plain images[J].The Journal of Systems and Software,2013,6(3):826-834
[19] Liu Shu-bo,Sun Jing,Xu Zheng-quan.An improved image encryption algorithm based on chaotic system [J].Journal of Computers,2009,4(11):1091-1100
[20] Fouda J S A E,Effa J Y,Samrat L S,et al.A fast chaotic block cipher for image encryption [J].Communications in Nonlinear Science & Numerical Simulation ,2014,9(3):578-588
[21] Liu Hong-jun,Abdurahman K.Asymmetric color image encryption scheme using 2D discrete-time map [J].Signal Processing,2015,113(2):104-112

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!