A new image cipher in time and frequency domains

Abstract Recently, various encryption techniques based on chaos have been proposed. However, most existing chaotic encryption schemes still suffer from fundamental problems such as small key space, weak security function and slow performance speed. This paper introduces an efficient encryption scheme for still visual data that overcome these disadvantages. The proposed scheme is based on hybrid Linear Feedback Shift Register (LFSR) and chaotic systems in hybrid domains. The core idea is to scramble the pixel positions based on 2D chaotic systems in frequency domain. Then, the diffusion is done on the scrambled image based on cryptographic primitive operations and the incorporation of LFSR and chaotic systems as round keys. The hybrid compound of LFSR, chaotic system and cryptographic primitive operations strengthen the encryption performance and enlarge the key space required to resist the brute force attacks. Results of statistical and differential analysis show that the proposed algorithm has high security for secure digital images. Furthermore, it has key sensitivity together with a large key space and is very fast compared to other competitive algorithms.

[1]  S. Lian,et al.  Efficient image or video encryption based on spatiotemporal chaos system , 2009 .

[2]  Vinod Patidar,et al.  A new substitution–diffusion based image cipher using chaotic standard and logistic maps , 2009 .

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

[4]  Ahmed A. Abd El-Latif,et al.  Efficient modified RC5 based on chaos adapted to image encryption , 2010, J. Electronic Imaging.

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

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

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

[8]  Afaq Ahmad,et al.  An efficient method to determine linear feedback connections in shift registers that generate maximal length pseudo-random up and down binary sequences , 1997 .

[9]  M. A. Jafarizadeh,et al.  Hierarchy of Chaotic Maps with an Invariant Measure , 2001 .

[10]  Safya Belghith,et al.  OCML-based colour image encryption , 2009 .

[11]  Safya Belghith,et al.  Cryptanalysis of a new substitution–diffusion based image cipher , 2010 .

[12]  G. Mullen,et al.  Primitive polynomials over finite fields , 1992 .

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

[14]  S. Li,et al.  Cryptographic requirements for chaotic secure communications , 2003, nlin/0311039.

[15]  Rhouma Rhouma,et al.  Cryptanalysis of a new image encryption algorithm based on hyper-chaos , 2008 .

[16]  Z. Guan,et al.  Chaos-based image encryption algorithm ✩ , 2005 .

[17]  Guanrong Chen,et al.  A Novel Fast Image Encryption Scheme Based on 3D Chaotic Baker Maps , 2004, Int. J. Bifurc. Chaos.

[18]  A. Pisarchik,et al.  Image encryption with chaotically coupled chaotic maps , 2008 .

[19]  Safya Belghith,et al.  Security analysis of image cryptosystems only or partially based on a chaotic permutation , 2012, J. Syst. Softw..

[20]  Rhouma Rhouma,et al.  Cryptanalysis of a spatiotemporal chaotic image/video cryptosystem , 2008 .

[21]  Jinsheng Sun,et al.  A block cipher based on a suitable use of the chaotic standard map , 2005 .

[22]  Tao Xiang,et al.  Parallel image encryption algorithm based on discretized chaotic map , 2008 .

[23]  Kwok-Wo Wong,et al.  A fast image encryption and authentication scheme based on chaotic maps , 2010 .