A new image encryption scheme based on a chaotic function

In recent years, several methods of secure image encryption were studied and developed through chaotic processes or functions. In this paper, a new image encryption scheme based on a coupling of chaotic function and xor operator is presented. The main advantages of such a method are the abilities to produce a large key space to resist brute-force attacks, and to encrypt securely images with any entropy structure assuring indistinguishability, confusion and diffusion properties in the corresponding cipher-images. The results of several statistical analysis about randomness, sensitivity and correlation of the cipher-images show that the proposed cryptosystem is efficient and secure enough to be used for the image encryption and transmission. Moreover, the implementation of the corresponding algorithm is easy and only integers are used.

[1]  B Javidi,et al.  Optical image encryption based on input plane and Fourier plane random encoding. , 1995, Optics letters.

[2]  Zengqiang Chen,et al.  A new image encryption algorithm based on hyper-chaos , 2008 .

[3]  Nikolaos G. Bourbakis,et al.  A general quantitative cryptanalysis of permutation-only multimedia ciphers against plaintext attacks , 2008, Signal Process. Image Commun..

[4]  Chin-Chen Chang,et al.  A new encryption algorithm for image cryptosystems , 2001, J. Syst. Softw..

[5]  Josef Scharinger.  Fast encryption of image data using chaotic Kolmogorov flows , 1998, J. Electronic Imaging.

[6]  Kwok-Wo Wong,et al.  A Fast Image Encryption Scheme based on Chaotic Standard Map , 2006, ArXiv.

[7]  A. Crisanti,et al.  Predictability in the large: an extension of the concept of Lyapunov exponent , 1996, chao-dyn/9606014.

[8]  Guanrong Chen,et al.  On the security defects of an image encryption scheme , 2009, Image Vis. Comput..

[9]  Bruce Schneier,et al.  A SELF-STUDY COURSE IN BLOCK-CIPHER CRYPTANALYSIS , 2000, Cryptologia.

[10]  Qing Liu,et al.  An Improved Image Encryption Method Based on Total Shuffling Scheme , 2011 .

[11]  Henry Ker-Chang Chang,et al.  A linear quadtree compression scheme for image encryption , 1997, Signal Process. Image Commun..

[12]  Xiaobo Li,et al.  Partial encryption of compressed images and videos , 2000, IEEE Trans. Signal Process..

[13]  Shujun Li,et al.  Cryptanalysis of a chaotic image encryption method , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[14]  Manuel Blum,et al.  A Simple Unpredictable Pseudo-Random Number Generator , 1986, SIAM J. Comput..

[15]  Elaine B. Barker,et al.  A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications , 2000 .

[16]  C. Chui,et al.  A symmetric image encryption scheme based on 3D chaotic cat maps , 2004 .

[17]  Gonzalo Álvarez,et al.  Some Basic Cryptographic Requirements for Chaos-Based Cryptosystems , 2003, Int. J. Bifurc. Chaos.

[18]  Xiaomin Wang,et al.  An image scrambling encryption using chaos-controlled Poker shuffle operation , 2008, 2008 International Symposium on Biometrics and Security Technologies.

[19]  Katsuhiko Shirai,et al.  A clustering experiment of the spectra and the spectral changes of speech to extract phonemic features , 1986 .

[20]  Zhengjun Liu,et al.  Double image encryption by using iterative random binary encoding in gyrator domains. , 2010, Optics express.

[21]  Vinod Patidar,et al.  Image encryption using chaotic logistic map , 2006, Image Vis. Comput..

[22]  Olcay Taner Yildiz,et al.  Cryptanalysis of Fridrich's Chaotic Image Encryption , 2010, Int. J. Bifurc. Chaos.

[23]  Anuja Kumar Acharya,et al.  Image encryption using a new chaos based encryption algorithm , 2011, ICCCS '11.

[24]  Elaine B. Barker,et al.  A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications , 2000 .

[25]  Nikolaos G. Bourbakis,et al.  Picture data encryption using scan patterns , 1992, Pattern Recognit..

[26]  Vinod Patidar,et al.  Discrete chaotic cryptography using external key , 2003 .

[27]  A. Wolf,et al.  Determining Lyapunov exponents from a time series , 1985 .

[28]  J. Fridrich.  Symmetric Ciphers Based on Two-Dimensional Chaotic Maps , 1998 .