Deterministic chaos game: A new fractal based pseudo-random number generator and its cryptographic application

Faragallah, 2013 Kaur, 2018, A comprehensive review on image encryption techniques, Arch Comput Methods Eng, 1 Song, 2018, Joint image compression–encryption scheme using entropy coding and compressive sensing, Nonlinear Dyn, 1 Tong, 2013, A new algorithm of the combination of image compression and encryption technology based on cross chaotic map, Nonlinear Dyn, 72, 229, 10.1007/s11071-012-0707-5 Paar, 2009 Tuchman, 1997, A brief history of the data encryption standard, 275 Daemen, 1999 Kumari, 2017, A survey of image encryption algorithms, 3D Research, 8, 37, 10.1007/s13319-017-0148-5 Kneusel, 2018, 239 Rukhin, 2001, A statistical test suite for random and pseudorandom number generators for cryptographic applications Marsaglia, 1996, Diehard: a battery of tests of randomness, Open Source software library Brown, 2013, Dieharder: a random number test suite, Open Source software library Walker, 2008 L’Ecuyer, 2007, Testu01: Ac library for empirical testing of random number generators, ACM Trans Math Software (TOMS), 33, 22 Kocarev, 2011, 354 Özkaynak, 2018, Brief review on application of nonlinear dynamics in image encryption, Nonlinear Dyn, 92, 305, 10.1007/s11071-018-4056-x Ahmad, 2018, A new chaotic map based secure and efficient pseudo-random bit sequence generation, 543 Lambić, 2018, Security analysis of the efficient chaos pseudo-random number generator applied to video encryption, J Electr Testing, 34, 709, 10.1007/s10836-018-5767-0 Valandar, 2019, A fast color image encryption technique based on three dimensional chaotic map, Optik, 193, 162921, 10.1016/j.ijleo.2019.06.021 Irani, 2019, Digital image scrambling based on a new one-dimensional coupled sine map, Nonlinear Dyn, 1 Behnia, 2012, Image encryption based on quantum chaotic map and fsm transforms, 1 Ahmad, 2014, Securing multimedia colour imagery using multiple high dimensional chaos-based hybrid keys, Int J Commun Networks Distrib Syst, 12, 113, 10.1504/IJCNDS.2014.057991 Verma, 2013, Modified multi-chaotic systems that are based on pixel shuffle for image encryption, J Inf Process Syst, 9, 271, 10.3745/JIPS.2013.9.2.271 Valandar, 2017, A new transform domain steganography based on modified logistic chaotic map for color images, J Inf Secur Appl, 34, 142 Valandar, 2019, An integer wavelet transform image steganography method based on 3d sine chaotic map, Multim Tools Appl, 78, 9971, 10.1007/s11042-018-6584-2 Valandar, 2015, High secure digital image steganography based on 3d chaotic map, 1 Behnia, 2014, Design and implementation of coupled chaotic maps in watermarking, Appl Soft Comput, 21, 481, 10.1016/j.asoc.2014.03.022 Farri, 2018, A blind and robust video watermarking based on iwt and new 3d generalized chaotic sine map, Nonlinear Dyn, 93, 1875, 10.1007/s11071-018-4295-x Hadi, 2012, Blind digital image watermarking based on ct-svd and chaotic cellular automata, 301 Khorrami, 2012, A svd-chaos digital image watermarking scheme based on multiple chaotic system, 9 Panahi, 2013, A new colour image watermarking scheme using cellular automata transform and schur decomposition, 1 Behnia, 2010, Multiple-watermarking scheme based on improved chaotic maps, Commun Nonlinear Sci NumerSimul, 15, 2469, 10.1016/j.cnsns.2009.09.042 Barani, 2015, A secure watermark embedding approach based on chaotic map for image tamper detection, 1 Barani, 2015, Image forgery detection in contourlet transform domain based on new chaotic cellular automata, Secur Commun Networks, 8, 4343, 10.1002/sec.1365 Barani, 2019, A new digital image tamper detection algorithm based on integer wavelet transform and secured by encrypted authentication sequence with 3d quantum map, Optik, 187, 205, 10.1016/j.ijleo.2019.04.074 Wang, 2012, A novel colour image encryption algorithm based on chaos, Signal Process, 92, 1101, 10.1016/j.sigpro.2011.10.023 Murillo-Escobar, 2015, A rgb image encryption algorithm based on total plain image characteristics and chaos, Signal Process, 109, 119, 10.1016/j.sigpro.2014.10.033 Belazi, 2016, A novel image encryption scheme based on substitution-permutation network and chaos, Signal Process, 128, 155, 10.1016/j.sigpro.2016.03.021 Ahmad, 2018, An image encryption approach using particle swarm optimization and chaotic map, Int J Inf Technol, 10, 247 Alawida, 2019, A new hybrid digital chaotic system with applications in image encryption, Signal Process, 160, 45, 10.1016/j.sigpro.2019.02.016 Wu, 2017, Color image encryption based on chaotic systems and elliptic curve elgamal scheme, Signal Process, 141, 109, 10.1016/j.sigpro.2017.04.006 Chopra, 2015, An enhanced modulo-based image encryption using chaotic and fractal keys, 501 Wu, 2018, Image encryption using 2d hénon-sine map and dna approach, Signal Process, 153, 11, 10.1016/j.sigpro.2018.06.008 Liu, 2015, Asymmetric color image encryption scheme using 2d discrete-time map, Signal Process, 113, 104, 10.1016/j.sigpro.2015.01.016 Wang, 2018, Cryptanalysis and enhancements of image encryption using combination of the 1d chaotic map, Signal Process, 144, 444, 10.1016/j.sigpro.2017.11.005 Li, 2018, Cryptanalyzing an image encryption algorithm based on autoblocking and electrocardiography, IEEE MultiMedia, 25, 46, 10.1109/MMUL.2018.2873472 Li, 2019, Dynamic analysis of digital chaotic maps via state-mapping networks, IEEE Trans Circuits Syst I, 66, 2322, 10.1109/TCSI.2018.2888688 Chai, 2019, A color image cryptosystem based on dynamic dna encryption and chaos, Signal Process, 155, 44, 10.1016/j.sigpro.2018.09.029 Chen, 2018, Exploiting self-adaptive permutation–diffusion and dna random encoding for secure and efficient image encryption, Signal Process, 142, 340, 10.1016/j.sigpro.2017.07.034 Cao, 2018, A novel bit-level image encryption algorithm based on 2d-licm hyperchaotic map, Signal Process, 143, 122, 10.1016/j.sigpro.2017.08.020 Pak, 2017, A new color image encryption using combination of the 1d chaotic map, Signal Process, 138, 129, 10.1016/j.sigpro.2017.03.011 Asgari-Chenaghlu, 2019, A novel image encryption algorithm based on polynomial combination of chaotic maps and dynamic function generation, Signal Process, 157, 1, 10.1016/j.sigpro.2018.11.010 Hsiao, 2015, Color image encryption using chaotic nonlinear adaptive filter, Signal Process, 117, 281, 10.1016/j.sigpro.2015.06.007 Ratnavelu, 2017, Image encryption method based on chaotic fuzzy cellular neural networks, Signal Process, 140, 87, 10.1016/j.sigpro.2017.05.002 Lan, 2018, Integrated chaotic systems for image encryption, Signal Process, 147, 133, 10.1016/j.sigpro.2018.01.026 Singla, 2014, A chaotic neural network based cryptographic pseudo-random sequence design, 301 Hua, 2019, Image encryption using josephus problem and filtering diffusion, IEEE Access, 7, 8660, 10.1109/ACCESS.2018.2890116 Akhshani, 2012, An image encryption scheme based on quantum logistic map, Commun Nonlinear Sci NumerSimul, 17, 4653, 10.1016/j.cnsns.2012.05.033 Alzaidi, 2018, Sine-cosine optimization-based bijective substitution-boxes construction using enhanced dynamics of chaotic map, Complexity, 2018, 10.1155/2018/9389065 Alzaidi, 2018, A new 1d chaotic map and β-hill climbing for generating substitution-boxes, IEEE Access, 6, 55405, 10.1109/ACCESS.2018.2871557 Ahmad, 2017, Cryptanalysis and improvement of an image encryption scheme using fourier series, 3D Res, 8, 40, 10.1007/s13319-017-0150-y Li, 2019, When an attacker meets a cipher-image in 2018: a year in review, J Inf Secur Appl, 48, 102361 Ahmad, 2018, Security analysis and enhancements of an image cryptosystem based on hyperchaotic system, J King Saud Univ-ComputInf Sci Ahmad, 2018, Cryptanalysis of an image encryption algorithm based on pwlcm and inertial delayed neural network, J Intell Fuzzy Syst, 34, 1323, 10.3233/JIFS-169428 Ahmad, 2018, Cryptanalysis of an image encryption algorithm based on combined chaos for a ban system, and improved scheme using sha-512 and hyperchaos, Symmetry, 10, 266, 10.3390/sym10070266 Feldman, 2012 Falconer, 2004 Arjunan, 2017 Mandelbrot, 1983, 173 Bouallegue, 2015, Gallery of chaotic attractors generated by fractal network, Int J Bifurc Chaos, 25, 1530002, 10.1142/S0218127415300025 Barnsley, 1988 Strogatz, 2014 Akhshani, 2014, Pseudo random number generator based on quantum chaotic map, Commun Nonlinear Sci NumerSimul, 19, 101, 10.1016/j.cnsns.2013.06.017 Smart, 2011, Ecrypt ii yearly report on algorithms and keysizes (2010-2011), Katholieke Universiteit Leuven (KUL) Deliverable SPA-17 rob June Weber, 1997, The usc-sipi image database, signal and image processing institute of the university of southern california, Volume 3: Miscellaneous Ponomarenko, 2015, Image database tid2013: Peculiarities, results and perspectives, Signal Process, 30, 57 Shannon, 1949, Communication theory of secrecy systems, Bell SystTechnJ, 28, 656, 10.1002/j.1538-7305.1949.tb00928.x