基于量子混沌映射的高效安全的图像加密算法

计算机工程与科学

基于量子混沌映射的高效安全的图像加密算法

刘会，金聪

（华中师范大学计算机学院,湖北武汉 430079）

收稿日期:2016-07-18 修回日期:2016-09-20 出版日期:2016-11-25 发布日期:2016-11-25
基金资助:
中央高校基本科研业务费(CCNU15GF007)

An efficient and secure image encryption

algorithm based on quantum chaotic mapping

LIU Hui，JIN Cong

（School of Computer,Central China Normal University,Wuhan 430079,China）

Received:2016-07-18 Revised:2016-09-20 Online:2016-11-25 Published:2016-11-25

摘要/Abstract

摘要：

提出了一种基于带密钥的广义Arnold变换和量子混沌映射的图像加密算法。首先，利用二维Logistic映射产生初始条件和参数；其次，利用带密钥的广义Arnold变换对彩色图像的像素值进行置换；最后将初始条件和参数代入到量子混沌系统中，由该系统产生的一系列伪随机数与图像的像素值进行异或，改变各个位置的像素值，进而达到加密的效果。为了提高加密系统的复杂性和随机性，二维Logistic映射和二维量子混沌映射都结合加权耦合映像格子以运用到加密系统中。

关键词: Arnold变换, 量子混沌映射, 二维Logistic映射, 最近邻耦合映像格子

Abstract:

We propose an image encryption algorithm based on general twodimensional Arnold transform with keys and quantum chaotic mapping. Firstly, we generate the initial conditions and parameters via the twodimensional logistic mapping. Secondly, we exploit the general Arnold scrambling algorithm with keys to permute the pixels of color components R, G and B. Finally a serial of pseudorandom numbers generated by the quantum chaotic mapping is applied to modify the value of diffused pixels. In order to get the high randomness and the high complexity, the twodimensional logistic mapping and quantum chaotic mapping are coupled with nearestneighboring coupledmapping lattices.

Key words: Arnold transform, quantum chaotic mapping, twodimensional logistic mapping；nearestneighboring coupledmapping lattices

刘会，金聪. 基于量子混沌映射的高效安全的图像加密算法[J]. 计算机工程与科学.

LIU Hui，JIN Cong.

An efficient and secure image encryption

algorithm based on quantum chaotic mapping

[J]. Computer Engineering & Science.

参考文献

［1］Tomassini M,Sipper M,Perrenoud M.On the generation of highquality random numbers by twodimensional cellular automata［J］.IEEE Transactions on Computers,2000,49(10):11461151.

［2］Tu Zhengwu, Jin Cong. A color image encryption algorithm based on DNA sequence［J］. Computer Engineering & Science, 2015, 37(10): 19331939.(in Chinese)

［3］Guo Q,Liu Z,Liu S.Color image encryption by using Arnold and discrete fractional random transforms in IHS space［J］.Optics and Lasers in Engineering,2010,48:11741181.

［4］Liu H J,Wang X Y,Abdurahman K.Image encryption using DNA complementary rule and chaotic maps［J］.Applied Soft Computing,2012,12(5):14571466.

［5］Wang X,Guo K.A new image alternate encryption algorithm based on chaotic map［J］.Nonlinear Dynamics,2014,6(4):19431950.

［6］Tang Z, Zhang X, Lan W. Efficient image encryption with block shuffling and chaotic map［J］.Multimedia Tools & Applications,2015,74(15):120.

［7］Akhshani A,Akhavan A,Mobaraki A,et al.Pseudo random number generator based on quantum chaotic map［J］.Communications in Nonlinear Science and Numerical Simulation,2014,19(1):101111.

［8］Wang X Y,Zhang Y Q,Zhao Y Y.A novel image encryption scheme based on 2D logistic map and DNA sequence operations［J］.Nonlinear Dynamics,2015,82(3):12691280.

［9］ElLatif A A A,Li L,Wang N,et al.A new approach to chaotic image encryption based on quantum chaotic system,exploiting color spaces［J］.Signal Processing,2013,93(11):29863000.

［10］Khan M, Shah T, Batool S I. Texture analysis of chaotic coupled map lattices based image encryption algorithm［J］.3D Research,2014,15(3):15.

［11］Norouzi B,Seyedzadeh S M,Mirzakuchaki S,et al.A novel image encryption based on rowcolumn,masking and main diffusion processes with hyper chaos［J］.Multimedia Tools and Applications,2013,74(3):781811.

［12］Sun Xiehua.Image encryption algorithm and practices with implementations in C#［M］.Beijing:Science Press,2013:313315.(in Chinese)

［13］Patidar V,Pareek N K,Purohit G,et al.Modified substitutiondiffusion image cipher using chaotic standard and logistic maps［J］.Communications in Nonlinear Science and Numerical Simulation,2010,15(15):27552765.

［14］Gao T G,Chen Z Q.A new image encryption algorithm based on hyperchaos［J］.Physics Letters A,2008,372(4):394400.

［15］Mazloom S,Eftekhari M A M.Color image encryption based on coupled nonlinear chaotic map［J］.Chaos,Solitons & Fractals,2009,42(3):17451754.

附中文参考文献：

［2］涂正武，金聪.基于DNA序列的彩色图像加密算法［J］.计算机工程与科学,2015,37(10):19331939.

［12］孙燮华.图像加密算法与实践——基于C#语言实现［M］.北京:科学出版社,2013:313315.