A novel approach to encrypt multiple images using multiple chaotic maps and chaotic discrete fractional random transform

Due to recent advances in network technology, it has become easier to send multiple images together. Hence, image encryption using multiple images is an emerging area of interest amidst researchers. The paper proposes a multiple-image encryption technique based on the chaotic confusion-diffusion strategy and chaotic Discrete Fractional Random Transform (DFRNT). Initially, odd and even bits of three input images (M × N) are separated and a composite image (3M × 2N) is derived by combining the even and odd bits of every image. Secondly, chaotic confusion-diffusion strategy using four chaotic maps Arnold Cat Map (ACM), Logistic-Tent Map (LTM), Logistic-Sine Map (LSM) and Tent-Sine Map (TSM) is applied to scramble and diffuse the pixel values of the composite image. Thereafter, three diffused images are extracted from the diffused composite image. Finally, chaotic DFRNT uses Tent-Sine Map (TSM) to generate the random kernel transform matrix for itself and encrypt the extracted images into a single image. The parameters Histogram, Correlation distribution (CD), Correlation Coefficient (CC), Entropy, Number of Pixel Change Rate (NPCR) and Unified Averaged Changed Intensity (UACI) have been computed to show the potential of the proposed encryption technique.

[1]  Hone-Ene Hwang,et al.  Optical color image encryption based on the wavelength multiplexing using cascaded phase-only masks in Fresnel transform domain , 2012 .

[2]  Amel Benazza-Benyahia,et al.  Efficient transform-based texture image retrieval techniques under quantization effects , 2016, Multimedia Tools and Applications.

[3]  Xuan Li,et al.  Image encryption algorithm with compound chaotic maps , 2014, Journal of Ambient Intelligence and Humanized Computing.

[4]  Kwok-Wo Wong,et al.  A symmetric color image encryption algorithm using the intrinsic features of bit distributions , 2013, Commun. Nonlinear Sci. Numer. Simul..

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

[6]  Yicong Zhou,et al.  A new 1D chaotic system for image encryption , 2014, Signal Process..

[7]  Yicong Zhou,et al.  Image encryption using 2D Logistic-adjusted-Sine map , 2016, Inf. Sci..

[8]  Zhu Wang,et al.  A fast encryption algorithm of color image based on four-dimensional chaotic system , 2015, J. Vis. Commun. Image Represent..

[9]  Yan Zhang,et al.  Optical encryption based on iterative fractional Fourier transform , 2002 .

[10]  Morris J. Dworkin,et al.  Conference Report: FIRST ADVANCED ENCRYPTION STANDARD (AES) CANDIDATE CONFERENCE, Ventura, CA, August 20-22, 1998 , 1999 .

[11]  Xin Zhang,et al.  Multiple image encryption by phase retrieval , 2016 .

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

[13]  Di Xiao,et al.  Double optical image encryption using discrete Chirikov standard map and chaos-based fractional random transform , 2013 .

[14]  Bahram Javidi,et al.  Optical and Digital Techniques for Information Security , 2004 .

[15]  Muhammad Rafiq Abuturab Noise-free recovery of color information using a joint-extended gyrator transform correlator , 2013 .

[16]  Li-Hua Gong,et al.  Novel color image encryption algorithm based on the reality preserving fractional Mellin transform , 2012 .

[17]  Ritu Vijay,et al.  A synchronous intertwining logistic map-DNA approach for color image encryption , 2018, Journal of Ambient Intelligence and Humanized Computing.

[18]  Ran Tao,et al.  Double image encryption based on random phase encoding in the fractional Fourier domain. , 2007, Optics express.

[19]  Huijuan Li,et al.  Double-image encryption based on discrete fractional random transform and chaotic maps , 2011 .

[20]  Yicong Zhou,et al.  2D Sine Logistic modulation map for image encryption , 2015, Inf. Sci..

[21]  Yi Qin,et al.  Multiple-image encryption and authentication with sparse representation by space multiplexing. , 2013, Applied optics.

[22]  Jingjuan Zhang,et al.  Multiple-image encryption by wavelength multiplexing. , 2005, Optics letters.

[23]  Ritu Vijay,et al.  A Bi-objective Genetic Algorithm Optimization of Chaos-DNA Based Hybrid Approach , 2019, J. Intell. Syst..

[24]  Tarek R. Sheltami,et al.  Digital image encryption techniques for wireless sensor networks using image transformation methods: DCT and DWT , 2019, J. Ambient Intell. Humaniz. Comput..

[25]  Madhusudan Joshi,et al.  Color image encryption and decryption using fractional Fourier transform , 2007 .

[26]  Xuejia Lai,et al.  A Proposal for a New Block Encryption Standard , 1991, EUROCRYPT.

[27]  M. Zarebnia,et al.  A combination chaotic system and application in color image encryption , 2017, ArXiv.

[28]  Xiaofeng Liao,et al.  A hybrid scheme for self-adaptive double color-image encryption , 2017, Multimedia Tools and Applications.

[29]  Zhongyang Li,et al.  Multiple-image encryption scheme with a single-pixel detector , 2016 .

[30]  Ali Kanso,et al.  A novel image encryption algorithm based on piecewise linear chaotic maps and least squares approximation , 2017, Multimedia Tools and Applications.

[31]  Lilian Huang,et al.  A new color image encryption using combination of the 1D chaotic map , 2017, Signal Process..

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

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

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

[35]  Zhengjun Liu,et al.  A discrete fractional random transform , 2005, math-ph/0605061.

[36]  Qindong Sun,et al.  Double-image encryption using discrete fractional random transform and logistic maps , 2014 .