A New Chaotic S-Box Generation Method Using Parameter Optimization of One Dimensional Chaotic Maps

Chaotic systems have been used to generate the substitutional box structures. The existence of endless possibilities for the selection of the initial conditions and control parameters of the chaotic system has made it a necessity to use the optimization algorithms for generation of chaos based substitutional box structures. Most appropriate initial conditions and control parameters have been determined for four different discrete time chaotic systems using seven different optimization algorithms. A new substitutional box generation algorithm has been proposed using the optimum chaotic parameters values parameter values.

[1]  Ahmet Bedri Ozer,et al.  A method for designing strong S-Boxes based on chaotic Lorenz system , 2010 .

[2]  Tariq Shah,et al.  An efficient technique for the construction of substitution box with chaotic partial differential equation , 2013, Nonlinear Dynamics.

[3]  Tariq Shah,et al.  An efficient construction of substitution box with fractional chaotic system , 2015, Signal Image Video Process..

[4]  Fatih Özkaynak,et al.  Cryptographically secure random number generator with chaotic additional input , 2014 .

[5]  Fatih Özkaynak,et al.  Brief review on application of nonlinear dynamics in image encryption , 2018, Nonlinear Dynamics.

[6]  Ahmed A. Abd El-Latif,et al.  A simple yet efficient S-box method based on chaotic sine map , 2017 .

[7]  I. Pehlivan,et al.  A novel approach for strong S-Box generation algorithm design based on chaotic scaled Zhongtang system , 2017 .

[8]  Tariq Shah,et al.  A construction of novel chaos base nonlinear component of block cipher , 2013, Nonlinear Dynamics.

[9]  Majid Khan,et al.  Application Based Construction and Optimization of Substitution Boxes Over 2D Mixed Chaotic Maps , 2019, International Journal of Theoretical Physics.

[10]  Stan Matwin,et al.  A review on particle swarm optimization algorithm and its variants to clustering high-dimensional data , 2013, Artificial Intelligence Review.

[11]  C. K. Michael Tse,et al.  Parameter Identification of Chaotic Systems by a Novel Dual Particle Swarm Optimization , 2016, Int. J. Bifurc. Chaos.

[12]  Alireza Askarzadeh,et al.  Solving electrical power system problems by harmony search: a review , 2017, Artificial Intelligence Review.

[13]  Tariq Shah,et al.  Efficient method for designing chaotic S-boxes based on generalized Baker’s map and TDERC chaotic sequence , 2013 .

[14]  Min-Yuan Cheng,et al.  Symbiotic Organisms Search: A new metaheuristic optimization algorithm , 2014 .

[15]  Ahmet Bedri Özer,et al.  A new S-box construction method based on the fractional-order chaotic Chen system , 2017, Signal Image Video Process..

[16]  Dragan Lambić,et al.  Comparison of random S-box generation methods , 2013 .

[17]  Fatih Özkaynak,et al.  From Biometric Data to Cryptographic Primitives: A New Method for Generation of Substitution Boxes , 2017, ICBEB 2017.

[18]  Ville Tirronen,et al.  Recent advances in differential evolution: a survey and experimental analysis , 2010, Artificial Intelligence Review.

[19]  Mohamed Lamine Sahari,et al.  A pseudo-random numbers generator based on a novel 3D chaotic map with an application to color image encryption , 2018, Nonlinear Dynamics.

[20]  Souad Larabi Marie-Sainte,et al.  A survey of Particle Swarm Optimization techniques for solving university Examination Timetabling Problem , 2015, Artificial Intelligence Review.

[21]  Sirma Yavuz,et al.  Designing chaotic S-boxes based on time-delay chaotic system , 2013 .

[22]  Osama S. Faragallah,et al.  A fast hybrid image cryptosystem based on random generator and modified logistic map , 2018, Multimedia Tools and Applications.

[23]  Safya Belghith,et al.  Efficient cryptosystem approaches: S-boxes and permutation–substitution-based encryption , 2016, Nonlinear Dynamics.

[24]  Tariq Shah,et al.  Construction of S-box based on chaotic Boolean functions and its application in image encryption , 2015, Neural Computing and Applications.

[25]  Faiz Ul Islam,et al.  Designing S-Box Based on 4D-4Wing Hyperchaotic System , 2017 .

[26]  Weili Wang,et al.  Differential evolution algorithm with strategy adaptation and knowledge-based control parameters , 2017, Artificial Intelligence Review.

[27]  Zhu Wang,et al.  A Novel Block Encryption Algorithm Based on Chaotic S-Box for Wireless Sensor Network , 2019, IEEE Access.

[28]  Tariq Shah,et al.  Construction of S8 Liu J S-boxes and their applications , 2012, Comput. Math. Appl..

[29]  Werner Schindler,et al.  Random Number Generators for Cryptographic Applications , 2009, Cryptographic Engineering.

[30]  Ehab Abou-Bakr,et al.  Random property enhancement of a 1D chaotic PRNG with finite precision implementation , 2019, Chaos, Solitons & Fractals.

[31]  Ihsan Pehlivan,et al.  A novel hybrid encryption algorithm based on chaos and S-AES algorithm , 2018, Nonlinear Dynamics.

[32]  Tariq Shah,et al.  A novel image encryption technique based on Hénon chaotic map and S8 symmetric group , 2014, Neural Computing and Applications.

[33]  Zhongmeng Zhao,et al.  Chaotic image encryption based on circular substitution box and key stream buffer , 2014, Signal Process. Image Commun..

[34]  Musheer Ahmad,et al.  A novel efficient substitution-box design based on firefly algorithm and discrete chaotic map , 2018, Neural Computing and Applications.

[35]  Tian Ye,et al.  Chaotic S-box: six-dimensional fractional Lorenz–Duffing chaotic system and O-shaped path scrambling , 2018 .

[36]  Yuhui Shi,et al.  Artificial bee colony algorithm: A component-wise analysis using diversity measurement , 2020, J. King Saud Univ. Comput. Inf. Sci..

[37]  Akif Akgul,et al.  A Chaotic System with Infinite Equilibria and Its S-Box Constructing Application , 2018 .

[38]  Tariq Shah,et al.  A Novel Algorithm of Constructing Highly Nonlinear S-p-boxes , 2019, Cryptogr..

[39]  X. Liao,et al.  An extended method for obtaining S-boxes based on three-dimensional chaotic Baker maps , 2007 .

[40]  Fatih Özkaynak.  An Analysis and Generation Toolbox for Chaotic Substitution Boxes: A Case Study Based on Chaotic Labyrinth Rene Thomas System , 2020 .

[41]  Tariq Shah,et al.  A novel technique for the construction of strong S-boxes based on chaotic Lorenz systems , 2012, Nonlinear Dynamics.

[42]  Musheer Ahmad,et al.  Random Search Based Efficient Chaotic Substitution Box Design for Image Encryption , 2018, Int. J. Rough Sets Data Anal..

[43]  Tariq Shah,et al.  An efficient approach for the construction of LFT S-boxes using chaotic logistic map , 2012, Nonlinear Dynamics.

[44]  Hongjun Liu,et al.  Chaos-based color image block encryption scheme using S-box , 2014 .

[45]  Xiaofeng Liao,et al.  A method for designing dynamical S-boxes based on discretized chaotic map , 2005 .

[46]  Sundaresan Raman,et al.  Hybrid computational intelligence algorithms and their applications to detect food quality , 2019, Artificial Intelligence Review.

[47]  Safya Belghith,et al.  A novel method for designing S-box based on chaotic map and Teaching–Learning-Based Optimization , 2016, Nonlinear Dynamics.

[48]  J. Sprott.  Elegant Chaos: Algebraically Simple Chaotic Flows , 2010 .

[49]  Safya Belghith,et al.  Chaos-based partial image encryption scheme based on linear fractional and lifting wavelet transforms , 2017 .

[50]  Musheer Ahmad,et al.  A Novel Ant Colony Optimization Based Scheme for Substitution Box Design , 2015 .

[51]  Weiwei Liu,et al.  Designing S-boxes based on 3-D four-wing autonomous chaotic system , 2015 .

[52]  Erkan Tanyildizi,et al.  A novel optimization method for solving constrained and unconstrained problems: modified Golden Sine Algorithm , 2018, Turkish J. Electr. Eng. Comput. Sci..

[53]  Xiaofeng Liao,et al.  A novel pseudo-random number generator from coupled map lattice with time-varying delay , 2018, Nonlinear Dynamics.

[54]  Guo Chen,et al.  A novel heuristic method for obtaining S-boxes , 2008 .

[55]  Dragan Lambić,et al.  A novel method of S-box design based on discrete chaotic map , 2017 .

[56]  Zeeshan Asghar,et al.  A novel construction of substitution box for image encryption applications with Gingerbreadman chaotic map and S8 permutation , 2016, Neural Computing and Applications.

[57]  Fatih Özkaynak,et al.  Side-Channel Analysis of Chaos-Based Substitution Box Structures , 2019, IEEE Access.

[58]  Muhammad Junaid Arshad,et al.  An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping , 2019, Symmetry.

[59]  Tariq Shah,et al.  A novel method for designing nonlinear component for block cipher based on TD-ERCS chaotic sequence , 2013 .

[60]  Tariq Shah,et al.  A new implementation of chaotic S-boxes in CAPTCHA , 2016, Signal Image Video Process..

[61]  Fatih Özkaynak,et al.  Construction of robust substitution boxes based on chaotic systems , 2019, Neural Computing and Applications.

[62]  Dragan Lambić,et al.  Pseudo-random number generator based on discrete-space chaotic map , 2017 .

[63]  Xingyuan Wang,et al.  A Novel Method for Constructing the S-Box Based on Spatiotemporal Chaotic Dynamics , 2018, Applied Sciences.

[64]  Bo Li,et al.  A novel image encryption scheme based on improved random number generator and its implementation , 2018, Nonlinear Dynamics.

[65]  Majid Khan,et al.  An efficient method for the construction of block cipher with multi-chaotic systems , 2013 .

[66]  Majid Khan,et al.  A novel image encryption scheme based on multiple chaotic S-boxes , 2015, Nonlinear Dynamics.

[67]  Tariq Shah,et al.  A Watermarking Technique with Chaotic Fractional S-Box Transformation , 2016, Wirel. Pers. Commun..

[68]  Tariq Shah,et al.  A novel approach for designing substitution-boxes based on nonlinear chaotic algorithm , 2012, Nonlinear Dynamics.

[69]  Tariq Shah,et al.  A projective general linear group based algorithm for the construction of substitution box for block ciphers , 2012, Neural Computing and Applications.

[70]  Musheer Ahmad,et al.  A New Hyperchaotic System-Based Design for Efficient Bijective Substitution-Boxes , 2018, Entropy.

[71]  Christophe Guyeux,et al.  Survey on hardware implementation of random number generators on FPGA: Theory and experimental analyses , 2018, Comput. Sci. Rev..

[72]  Mohammad-Reza Feizi-Derakhshi,et al.  A novel image encryption algorithm based on polynomial combination of chaotic maps and dynamic function generation , 2019, Signal Process..

[73]  Xiaofeng Liao,et al.  A novel method for designing S-boxes based on chaotic maps , 2005 .

[74]  Tariq Shah,et al.  A Novel Design of Cryptographic SP-Network Based on Gold Sequences and Chaotic Logistic Tent System , 2019, IEEE Access.

[75]  Dragan Lambic,et al.  S-box design method based on improved one-dimensional discrete chaotic map , 2018, J. Inf. Telecommun..

[76]  Mahmoud Farhang,et al.  A digital pseudo-random number generator based on sawtooth chaotic map with a guaranteed enhanced period , 2017 .

[77]  Yang Li,et al.  A novel method to design S-box based on chaotic map and genetic algorithm , 2012 .

[78]  Tariq Shah,et al.  A group theoretic approach to construct cryptographically strong substitution boxes , 2012, Neural Computing and Applications.

[79]  L. Kocarev,et al.  Chaos and cryptography: block encryption ciphers based on chaotic maps , 2001 .

[80]  Dragan Lambić,et al.  A novel method of S-box design based on chaotic map and composition method , 2014 .