Parallel Multi-Layer Selector S-Box based on Lorenz Chaotic System with FPGA Implementation

Mohamed Saber, Esam Hagras

Abstract


In this paper, we present a high-speed FPGA implementation of Parallel Multi-Layer Selector Substitution Boxes based on Lorenz Chaotic System (PMLS S-Box). The proposed PMLS chaotic S-Box is modeled using Xilinx System Generator™ (XSG) in 32 bits fixed-point format, and the architecture implemented into Xilinx Spartan-6 X6SLX45
board. The maximum frequency of the proposed PMLS chaotic S-Box is 381.764 MHz
with dissipates of 77 mwatt. Compared to other S-BOX chaotic systems, the proposed one
achieves a higher frequency and lower power consumption. The proposed PMLS chaotic
S-Box is analyzed based on S Box slandered tests such as; Bijectivity property,
nonlinearity, strict avalanche criterion, differential probability and bits independent
criterion. The five different standard results for the proposed S-Box indicates that PMLSC
can effectivity resist to cryptanalysis attacks, and is suitable for secure communications


Keywords


chaotic systems, s-box , fpga

References


P. Zhen, G. Zhao, L. Min and X. Li, "A Survey of Chaos-Based Cryptography," 2014 Ninth International Conference on P2P, Parallel, Grid, Cloud and Internet Computing, Guangdong, 2014, pp. 237-244.

Alvarez G, Li S. Some basic cryptographic requirements for chaos-based crypto systems. Int. J. Bifurcation Chaos, Vol.16 No.8, pp. 2129–51, 2006.

F. J. D'souza and D. Panchal, "Advanced encryption standard (AES) security enhancement using hybrid approach," 2017 International Conference on Computing, Communication and Automation (ICCCA), Greater Noida, 2017, pp. 647-652.

Hussain I, Shah T, Gondal M, "A novel approach for designing substitution-boxes based on nonlinear chaotic algorithm", Nonlinear Dyn , Vol 70(3), pp.1791–1794, 2012.

Wang Y, Wong K-W, Li C, Li Y, "A novel method to design S-box based on chaotic map and genetic algorithm", Phys Lett., A, Vol. 376 (6), pp.827–833, 2012.

Lambic´ D, "A novel method of S-box design based on discrete chaotic map", Nonlinear Dyn , vol. 87(4),pp. 2407–2413, 2017.

Belazi A, El-Latif AAA, "A simple yet efficient S-box method based on chaotic sine map". Optik, Int., J Light Electron, Opt., vol. 130, pp. 1438–1444, 2017.

M. Asim and V. Jeoti, “Efficient and simple method for designing chaotic S-boxes,” ETRI Journal, vol. 30, no. 1, pp. 170–172, 2008.

Khan M, Shah T, Batool S., "Construction of S-box based on chaotic Boolean functions and its application in image encryption. Neural Com., Appl., vol. 27(3),pp.677–685, 2017.

Khan M, Shah T, Mahmood H, Gondal MA, Hussain I., "A novel technique for the construction of strong S-boxes based on chaotic Lorenz systems", Nonlinear Dyn., vol0 70(3), pp. 2303–2311, 2012.

U. Islam F, Liu G,” Designing S-Box Based on 4D-4Wing Hyperchaotic System”, 3D Res, vol. 8:9, 2017.

Xilinx, Vivado " Design Suite User Guide: Model-Based DSP Design using System Generator", UG897, v2016.1 ed., Xilinx, Apr. 2018.

Sanjay Churiwala, "Designing With Xilinx FPGAs Using Vivado", Springer, 2017.

Xilinx, Inc., “Synthesis and Simulation Design Guide”, UG626 (v 14.5) December 18, 2012.

M. Aseeri, M. I. Sobhy, and P. Lee, “Lorenz chaotic model using field programmable gate array (FPGA),” in The 45th Midwest Symposium on Circuits and Systems, vol. 1, 2002.

L. Merah, A. Ali-Pacha, N. H. Said, and M. Mamat, “Design and FPGA implementation of Lorenz chaotic system for information security issues,” Applied Mathematical Sciences, vol. 7, pp. 237–246, 2013.

Fatih O., Ahmet B. O.,"A method for designing strong S-Boxes based on chaotic Lorenz system", Physics Letter A, 374, pp. 3733-3738, 2010.

Jr. Cgharles, H. Roth, Lizy, K. John," Digital System Design Using VHDL, Cengage Learning. 3rd Edition, 2017.

Kadhiem Ayob, Fundamental of Timing in FPGA, Create Space Independent Publishing Platform, 2015.

Trey Johnson, Digital Logic RLT & Verilog, Create Space Independent Publishing Platform, 2017.

A. Akgul, H. Calgan, I. Koyuncu, I. Pehlivan, A. Istanbullu, "Chaos-based engineering applications with a 3D chaotic system without equilibrium points”, Nonlinear Dyn, vol 84, pp 481-495, 2015.

M.S. Azzaz, C. Tanougast, S. Sadoudi, R. Fellah, A. Dandache, “A new auto-switched chaotic system and its FPGA implementation”, Commun. Nonlinear Sci. Numer. Simul, vol 18, pp 1792-1804, 2013.

S. Sadoudi, M.S. Azzaz, M. Djeddou, M. Benssalah, “An FPGA Real-time Implementation of the Chen‟s Chaotic System for Securing Chaotic Communications”, Int. J. Nonlinear Sci, vol (7), pp 1749-3889, 2009.

M. Alçın, İ. Pehlivan, İ. Koyuncu, “Hardware design and implementation of a novel ANN-based chaotic generator in FPGA”, Opt. - Int. J. Light Electron Opt, vol 127, 5500-5505, 2016.

I. Koyuncu, A.T. Ozcerit, I. Pehlivan, “Implementation of FPGA-based real time novel chaotic oscillator”, Nonlinear Dyn., vol 77, pp 49-59, 2014.

M. Tuna, C.B. Fidan, Electronic circuit design, “implementation and FPGA-based realization of a new 3D chaotic system with single equilibrium point”, Opt. - Int. J. Light Electron Opt., vol 127, pp 11786-11799, 2016.

K. Rajagopal, A. Akgul, S. Jafari, A. Karthikeyan, I. Koyuncu, “Chaotic chameleon: Dynamic

analyses, circuit implementation, FPGA design and fractional-order form with basic analyses”,

Chaos, Solitons & Fractals, vol 103, pp 476-487, 2017.

L. Gerardo, E. Torres, E. Tlelo, C. Mancillas, “ Hardware Implementation of Pseudo-random number generator based on chaotic maps”, Nonlinear Dynamics, vol. 90, pp 1661-670, 2017.

B. Karakaya, A. Gulten, M. Frasca, “A true random bit generator based on a memristive chaotic circuit: Analysis, design and FPGA Implementation”, Chaos,Solitons and Fractals, vol. 119, pp. 143-149, 2018.

G. Chen G, “A novel heuristic method for obtaining S-boxes”, Chaos Solitons Fractals , vol. 36 (4), pp.1028–1036, 2008.

V. M.S. Garcia, R. F. Carapia, C. R. Marquez, B. L. Benoso, M. A. Perez," Substitution box generation using chaos: An image encryption application", Applied Mathematics and computation, vol. 332, pp 123-135, 2018.

Tian Ye, Lu Zhimao, "Chaotic S-box: six dimensional fractional Lorenz–Duffing chaotic system and O-shaped path scrambling", Nonlinear Dynamics, vol. 94(3),pp 2155-2126, 2018.

Y. Wang, Q. Xie, Y. Wu and B. Du, "A Software for S-box Performance Analysis and Test," 2009 International Conference on Electronic Commerce and Business Intelligence, Beijing, 2009, pp. 125-128.




DOI: http://doi.org/10.11591/ijeecs.v19.i2.pp%25p
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