A new chaos based color image encryption algorithm using permutation substitution and Boolean operation

A new color image encryption algorithm is proposed by using chaotic maps. Cipher image is constructed in three phases. In the first phase permutation of digital image is performed with the help of a chaotic map. The second phase uses chaotic substitution box for pixel substitution and finally in the third phase a Boolean operator XOR is used for mixing chaotic logistic based random sequence. Chaotic maps have main role in this encryption. Chaos theory, due to its randomness and unpredictable behaviors, is known as favorite for the purpose of image encryption. The RGB components of image scrambled by permutation-substitution and Boolean operation, show good results for security and performance analysis. Different tests of security analysis like key space, key sensitivity, correlation analysis, entropy, histogram analysis, number of pixel change rate (NPCR) and unified average changing intensity (UACI) tests are employed on the proposed scheme. On the basis of these tests, we believe that proposed scheme is well suited for practical applications.

[1]  Abdennaceur Kachouri,et al.  A novel chaos-based image encryption using DNA sequence operation and Secure Hash Algorithm SHA-2 , 2015, Nonlinear Dynamics.

[2]  Xue Ouyang,et al.  An Image Encryption Method Based on Elliptic Curve Elgamal Encryption and Chaotic Systems , 2019, IEEE Access.

[3]  Brindha Murugan,et al.  A chaotic image encryption scheme with complex diffusion matrix for plain image sensitivity , 2019 .

[4]  E. Lorenz Atmospheric Predictability as Revealed by Naturally Occurring Analogues , 1969 .

[5]  Raman Maini,et al.  COMPARISON OF DATA ENCRYPTION ALGORITHMS , 2011 .

[6]  Wenhong Wang,et al.  A New Image Encryption Algorithm Based on Chaos and Secure Hash SHA-256 , 2018, Entropy.

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

[8]  Bin Li,et al.  A New Payload Partition Strategy in Color Image Steganography , 2020, IEEE Transactions on Circuits and Systems for Video Technology.

[9]  Guanrong Chen,et al.  On the Dynamical Degradation of Digital Piecewise Linear Chaotic Maps , 2005, Int. J. Bifurc. Chaos.

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

[11]  Guangchun Luo,et al.  An image encryption scheme based on chaotic tent map , 2016, Nonlinear Dynamics.

[12]  Saibal K. Pal,et al.  A chaos-based probabilistic block cipher for image encryption , 2018, J. King Saud Univ. Comput. Inf. Sci..

[13]  Yingqian Zhang,et al.  Image encryption algorithm based on multiple mixed hash functions and cyclic shift , 2017, Optics and Lasers in Engineering.

[14]  Junxiu Liu,et al.  A Double-Image Encryption Scheme Based on Amplitude-Phase Encoding and Discrete Complex Random Transformation , 2018, IEEE Access.

[15]  Hongjun Liu,et al.  Color image encryption based on one-time keys and robust chaotic maps , 2010, Comput. Math. Appl..

[16]  Shuliang Sun,et al.  A Novel Hyperchaotic Image Encryption Scheme Based on DNA Encoding, Pixel-Level Scrambling and Bit-Level Scrambling , 2018, IEEE Photonics Journal.

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

[18]  Lejla Batina,et al.  S-box, SET, Match: A Toolbox for S-box Analysis , 2014, WISTP.

[19]  Sattar Mirzakuchaki,et al.  A fast color image encryption algorithm based on coupled two-dimensional piecewise chaotic map , 2012, Signal Process..

[20]  Varun Jeoti,et al.  Efficient and Simple Method for Designing Chaotic S‐Boxes , 2008 .

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

[22]  Mario Markus,et al.  Lyapunov exponents of the logistic map with periodic forcing , 1989, Computers & graphics.

[23]  Xing-Yuan Wang,et al.  A symmetric image encryption algorithm based on mixed linear-nonlinear coupled map lattice , 2014, Inf. Sci..

[24]  Tarek El-Ghazawi,et al.  Hybrid Photonic-Plasmonic Nonblocking Broadband 5 × 5 Router for Optical Networks , 2017, IEEE Photonics Journal.

[25]  Majid Mollaeefar,et al.  A novel encryption scheme for colored image based on high level chaotic maps , 2015, Multimedia Tools and Applications.

[26]  Xuesong Wang,et al.  Multiple-image encryption algorithm based on DNA encoding and chaotic system , 2018, Multimedia Tools and Applications.

[27]  Robert A. J. Matthews,et al.  On the Derivation of a "Chaotic" Encryption Algorithm , 1989, Cryptologia.

[28]  Claude E. Shannon,et al.  Communication theory of secrecy systems , 1949, Bell Syst. Tech. J..

[29]  Dominique Barchiesi,et al.  A new image encryption scheme based on a chaotic function , 2012, Signal Process. Image Commun..

[30]  Xiaofeng Liao,et al.  Color image encryption based on chaotic systems and elliptic curve ElGamal scheme , 2017, Signal Process..

[31]  N. K. Pareek,et al.  Modified substitution-diffusion image cipher using chaotic standard and logistic maps , 2010 .

[32]  Yicong Zhou,et al.  Image encryption using a new parametric switching chaotic system , 2013, Signal Process..

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

[34]  Ross Anderson,et al.  Serpent: A Proposal for the Advanced Encryption Standard , 1998 .

[35]  Mario Markus,et al.  Lyapunov exponents of the logistic map with periodic forcing , 1989 .

[36]  Zheng Qin,et al.  Data embedding in digital images using critical functions , 2017, Signal Process. Image Commun..