Designing chaotic S-boxes based on time-delay chaotic system

S-box structures used in the encryption architecture are of great importance for constructing powerful block encryption systems, which hold an important place in modern cryptology. The design of S-boxes with sound cryptographic characteristics is of utmost importance for constructing powerful encryption systems. In this study, an S-box design algorithm based on time-delay chaotic systems is proposed. The proposed algorithm is considered relative to other algorithms in the literature as more useful according to such criteria as simplicity and efficient implementation. Theoretical analysis and computer simulations demonstrated that the proposed algorithm meets all the performance requirements for the S-box design criteria, and also verified the efficient and practical structure of the algorithm.

[1]  J. Sprott Chaos and time-series analysis , 2001 .

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

[3]  Y. Kuang Delay Differential Equations: With Applications in Population Dynamics , 2012 .

[4]  Pulak Mishra,et al.  Mergers, Acquisitions and Export Competitive- ness: Experience of Indian Manufacturing Sector , 2012 .

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

[6]  A. Ucar,et al.  A prototype model for chaos studies , 2002 .

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

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

[9]  K. Ikeda Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system , 1979 .

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

[11]  Amr M. Youssef,et al.  Affine equivalence in the AES round function , 2005, Discret. Appl. Math..

[12]  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.

[13]  Zidong Wang,et al.  Image encryption using chaotic coupled map lattices with time-varying delays ☆ , 2010 .

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

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

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

[17]  Tariq Shah,et al.  An efficient image encryption algorithm based on S8 S-box transformation and NCA map , 2012 .

[18]  T. Shah,et al.  Analysis of S-box in Image Encryption Using Root Mean Square Error Method , 2012 .

[19]  Eli Biham,et al.  Differential cryptanalysis of DES-like cryptosystems , 1990, Journal of Cryptology.

[20]  Vladimir I. Ponomarenko,et al.  Encryption and decryption of information in chaotic communication systems governed by delay-differential equations , 2008 .

[21]  Wang Xin-mei,et al.  Cryptanalysis of Rijndael S-box and improvement , 2005 .

[22]  Stafford E. Tavares,et al.  On the Design of S-Boxes , 1985, CRYPTO.

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

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

[25]  Pantelimon Stanica,et al.  Cryptographic Boolean Functions and Applications , 2009 .

[26]  Iqtadar Hussain,et al.  A novel approach of audio watermarking based on S-box transformation , 2013, Math. Comput. Model..

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

[28]  Ljupco Kocarev,et al.  Theory and practice of chaotic cryptography , 2007 .

[29]  Fatih Özkaynak,et al.  A novel algorithm for strengthening of chaos based S-Box generators , 2010 .

[30]  Carlisle M. Adams,et al.  Good S-Boxes Are Easy To Find , 1989, CRYPTO.

[31]  A.M. Youssef,et al.  On some probabilistic approximations for AES-like s-boxes , 2006, Discret. Math..

[32]  Julien Clinton Sprott,et al.  A simple chaotic delay differential equation , 2007 .

[33]  Yong Wang,et al.  A Software for S-box Performance Analysis and Test , 2009, 2009 International Conference on Electronic Commerce and Business Intelligence.

[34]  Gregory V. Bard,et al.  Algebraic Cryptanalysis , 2009 .

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