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AN ALTERNATIVE S-BOX DESIGN METHOD BASED ON RANDOM SELECTION

Year 2017, Volume: 7 Issue: 2, 229 - 236, 30.12.2017

Abstract

Random selection based s-box designs have an important role in
cryptology. There are many design proposals in this area. A new design method
is proposed in this study. The proposed method has a different design
architecture than the existing approaches found in the literature. The
performance analysis of the proposed method shows that it may be an alternative
to other methods.



References

  • Cusick T, Stanica P, (2009) Cryptographic Boolean Functions and Applications, Elsevier.
  • Jakimoski G, Kocarev L, (2011) Chaos and cryptography: block encryption ciphers. IEEE Trans Circ Syst—I 48(2): 163–169.
  • Tang G, Liao X, Chen Y, (2005) A novel method for designing S-boxes based on chaotic maps. Chaos Solitons and Fractals 23: 413–419.
  • Tang G, Liao X, (2005) A method for designing dynamical S-boxes based on discretized chaotic map. Chaos Solitons and Fractals 23(5): 1901–1909.
  • Chen G, Chen Y, Liao X, (2007) An extended method for obtaining S-boxes based on 3-dimensional chaotic baker maps. Chaos Solitons and Fractals 31: 571–579.
  • Chen G, (2008) A novel heuristic method for obtaining S-boxes. Chaos, Solitons and Fractals 36: 1028–1036.
  • Özkaynak F, Özer A, (2010) A method for designing strong S-Boxes based on chaotic Lorenz system, Physics Letters A 374: 3733-3738.
  • Wang Y, Wong K, Li C, Li Y, (2012) A novel method to design S-box based on chaotic map and genetic algorithm, Physics Letters A 376(6–7): 827–833.
  • Khan M, Shah T, Mahmood H, Gondal M, Hussain I, (2012) A novel technique for the construction of strong S-boxes based on chaotic Lorenz systems, Nonlinear Dynamics 70(3): 2303–2311.
  • Hussain I, Shah T, Mahmood H, Gondal M, (2012) Construction of S8 Liu J S-boxes and their applications, Computers & Mathematics with Applications 64(8): 2450–2458.
  • Hussain I, Shah T, Gondal M, (2012) A novel approach for designing substitution-boxes based on nonlinear chaotic algorithm, Nonlinear Dynamics 70(3): 1791–1794.
  • Khan M, Shah T, Mahmood H, Gondal M, (2013) An efficient method for the construction of block cipher with multi-chaotic systems, Nonlinear Dynamics 71(3): 489–492.
  • Özkaynak F, Yavuz S, (2013) Designing chaotic S-boxes based on time-delay chaotic system, Nonlinear Dynamics 74(3): 551–557.
  • Khan M, Shah T, Gondal M, (2013) An efficient technique for the construction of substitution box with chaotic partial differential equation, Nonlinear Dynamics 73(3): 1795–1801.
  • Hussain I, Shah T, Mahmood H, Gondal M, (2013) A projective general linear group based algorithm for the construction of substitution box for block ciphers, Neural Computing and Applications 22(6): 1085–1093.
  • Hussain I, Shah T, Gondal M, Khan W, Mahmood H, (2013) A group theoretic approach to construct cryptographically strong substitution boxes, Neural Computing and Applications 23(1): 97–104.
  • Hussain I, Shah T, Gondal M, Mahmood H, (2013) An efficient approach for the construction of LFT S-boxes using chaotic logistic map, Nonlinear Dynamics 71(1): 133–140.
  • Hussain I, Shah T, Gondal M, (2013) Efficient method for designing chaotic S-boxes based on generalized Baker’s map and TDERC chaotic sequence, Nonlinear Dynamics 74(1): 271–275.
  • Hussain I, Shah T, Gondal M, Mahmood H, (2013) A novel method for designing nonlinear component for block cipher based on TD-ERCS chaotic sequence, Nonlinear Dynamics 73(1): 633–637.
  • Khan M, Shah T, (2014) A construction of novel chaos base nonlinear component of block cipher, Nonlinear Dynamics 76(1): 377–382.
  • Khan M, Shah T, (2014) A novel image encryption technique based on Hénon chaotic map and S8 symmetric group, Neural Computing and Applications 25(7-8): 1717-1722.
  • Lambić D, (2014) A novel method of S-box design based on chaotic map and composition method, Chaos, Solitons & Fractals 58: 16–21.
  • Zaibi G, Peyrard F, Kachouri A, Prunaret D, Samet M, (2014), Efficient and secure chaotic S-Box for wireless sensor network. Security Comm. Networks 7: 279–292.
  • Liu H, Kadir A, Niu Y, (2014) Chaos-based color image block encryption scheme using S-box, AEU - International Journal of Electronics and Communications 68(7): 676–686.
  • Zhang X, Zhao Z, Wang J, (2014) Chaotic image encryption based on circular substitution box and key stream buffer, Signal Processing: Image Communication 29(8): 902–913.
  • Liu G, Yang W, Liu W, Dai Y, (2015) Designing S-boxes based on 3-D four-wing autonomous chaotic system, Nonlinear Dynamics 82(4): 1867–1877.
  • Ahmad M, Bhatia D, Hassan Y, (2015) A Novel Ant Colony Optimization Based Scheme for Substitution Box Design,Procedia Computer Science 57: 572-580.
  • Khan M, (2015) A novel image encryption scheme based on multiple chaotic S-boxes, Nonlinear Dynamics 82(1): 527–533.
  • Khan M, Shah T, (2015) An efficient construction of substitution box with fractional chaotic system, Signal, Image and Video Processing 9(6): 1335–1338.
  • Jamal S, Khan M, Shah T, (2016) A Watermarking Technique with Chaotic Fractional S-Box Transformation, Wireless Personal Communications 90(4): 2033–2049.
  • Khan M, Shah T, Batool S, (2016) Construction of S-box based on chaotic Boolean functions and its application in image encryption. Neural Computing and Applications 27(3): 677-685.
  • Khan M, Shah T, Batool S, (2016) A new implementation of chaotic S-boxes in CAPTCHA. Signal, Image and Video Processing 10(2): 293-300.
  • Khan M, Asghar Z, A novel construction of substitution box for image encryption applications with Gingerbreadman chaotic map and S8 permutation, Neural Computing and Applications, DOI: 10.1007/s00521-016-2511-5.
  • Lambić D, (2017) A novel method of S-box design based on discrete chaotic map, Nonlinear Dynamics 87(4): 2407–2413.
  • Farah T, Rhouma R, Belghith S, A novel method for designing S-box based on chaotic map and Teaching–Learning-Based Optimization, Nonlinear Dynamics 88(2): 1059–1074.
  • Özkaynak F, Çelik V, Özer A, (2017) A new S-box construction method based on the fractional-order chaotic Chen system, Signal, Image and Video Processing 11(4): 659–664.
  • Belazi A, Latif A, (2017) A simple yet efficient S-box method based on chaotic sine map, Optik - International Journal for Light and Electron Optics 130: 1438–1444.
  • Belazi A, Latif A, Diaconu A, Rhouma R, Belghith S, (2017) Chaos-based partial image encryption scheme based on linear fractional and lifting wavelet transforms, Optics and Lasers in Engineering 88: 37–50.
  • Belazi A, Khan M, Latif A, Belghith S, (2017) Efficient cryptosystem approaches: S-boxes and permutation–substitution-based encryption, Nonlinear Dynamics 87(1): 337–361.
  • Çavuşoğlu Ü, Zengin A, Pehlivan İ, Kaçar S, (2017) A novel approach for strong S-Box generation algorithm design based on chaotic scaled Zhongtang system, Nonlinear Dynamics 87(2): 1081–1094.
  • Islam F, Liu G, (2017) Designing S-Box Based on 4D-4Wing Hyperchaotic System, 3D Research, 8:9.
Year 2017, Volume: 7 Issue: 2, 229 - 236, 30.12.2017

Abstract

References

  • Cusick T, Stanica P, (2009) Cryptographic Boolean Functions and Applications, Elsevier.
  • Jakimoski G, Kocarev L, (2011) Chaos and cryptography: block encryption ciphers. IEEE Trans Circ Syst—I 48(2): 163–169.
  • Tang G, Liao X, Chen Y, (2005) A novel method for designing S-boxes based on chaotic maps. Chaos Solitons and Fractals 23: 413–419.
  • Tang G, Liao X, (2005) A method for designing dynamical S-boxes based on discretized chaotic map. Chaos Solitons and Fractals 23(5): 1901–1909.
  • Chen G, Chen Y, Liao X, (2007) An extended method for obtaining S-boxes based on 3-dimensional chaotic baker maps. Chaos Solitons and Fractals 31: 571–579.
  • Chen G, (2008) A novel heuristic method for obtaining S-boxes. Chaos, Solitons and Fractals 36: 1028–1036.
  • Özkaynak F, Özer A, (2010) A method for designing strong S-Boxes based on chaotic Lorenz system, Physics Letters A 374: 3733-3738.
  • Wang Y, Wong K, Li C, Li Y, (2012) A novel method to design S-box based on chaotic map and genetic algorithm, Physics Letters A 376(6–7): 827–833.
  • Khan M, Shah T, Mahmood H, Gondal M, Hussain I, (2012) A novel technique for the construction of strong S-boxes based on chaotic Lorenz systems, Nonlinear Dynamics 70(3): 2303–2311.
  • Hussain I, Shah T, Mahmood H, Gondal M, (2012) Construction of S8 Liu J S-boxes and their applications, Computers & Mathematics with Applications 64(8): 2450–2458.
  • Hussain I, Shah T, Gondal M, (2012) A novel approach for designing substitution-boxes based on nonlinear chaotic algorithm, Nonlinear Dynamics 70(3): 1791–1794.
  • Khan M, Shah T, Mahmood H, Gondal M, (2013) An efficient method for the construction of block cipher with multi-chaotic systems, Nonlinear Dynamics 71(3): 489–492.
  • Özkaynak F, Yavuz S, (2013) Designing chaotic S-boxes based on time-delay chaotic system, Nonlinear Dynamics 74(3): 551–557.
  • Khan M, Shah T, Gondal M, (2013) An efficient technique for the construction of substitution box with chaotic partial differential equation, Nonlinear Dynamics 73(3): 1795–1801.
  • Hussain I, Shah T, Mahmood H, Gondal M, (2013) A projective general linear group based algorithm for the construction of substitution box for block ciphers, Neural Computing and Applications 22(6): 1085–1093.
  • Hussain I, Shah T, Gondal M, Khan W, Mahmood H, (2013) A group theoretic approach to construct cryptographically strong substitution boxes, Neural Computing and Applications 23(1): 97–104.
  • Hussain I, Shah T, Gondal M, Mahmood H, (2013) An efficient approach for the construction of LFT S-boxes using chaotic logistic map, Nonlinear Dynamics 71(1): 133–140.
  • Hussain I, Shah T, Gondal M, (2013) Efficient method for designing chaotic S-boxes based on generalized Baker’s map and TDERC chaotic sequence, Nonlinear Dynamics 74(1): 271–275.
  • Hussain I, Shah T, Gondal M, Mahmood H, (2013) A novel method for designing nonlinear component for block cipher based on TD-ERCS chaotic sequence, Nonlinear Dynamics 73(1): 633–637.
  • Khan M, Shah T, (2014) A construction of novel chaos base nonlinear component of block cipher, Nonlinear Dynamics 76(1): 377–382.
  • Khan M, Shah T, (2014) A novel image encryption technique based on Hénon chaotic map and S8 symmetric group, Neural Computing and Applications 25(7-8): 1717-1722.
  • Lambić D, (2014) A novel method of S-box design based on chaotic map and composition method, Chaos, Solitons & Fractals 58: 16–21.
  • Zaibi G, Peyrard F, Kachouri A, Prunaret D, Samet M, (2014), Efficient and secure chaotic S-Box for wireless sensor network. Security Comm. Networks 7: 279–292.
  • Liu H, Kadir A, Niu Y, (2014) Chaos-based color image block encryption scheme using S-box, AEU - International Journal of Electronics and Communications 68(7): 676–686.
  • Zhang X, Zhao Z, Wang J, (2014) Chaotic image encryption based on circular substitution box and key stream buffer, Signal Processing: Image Communication 29(8): 902–913.
  • Liu G, Yang W, Liu W, Dai Y, (2015) Designing S-boxes based on 3-D four-wing autonomous chaotic system, Nonlinear Dynamics 82(4): 1867–1877.
  • Ahmad M, Bhatia D, Hassan Y, (2015) A Novel Ant Colony Optimization Based Scheme for Substitution Box Design,Procedia Computer Science 57: 572-580.
  • Khan M, (2015) A novel image encryption scheme based on multiple chaotic S-boxes, Nonlinear Dynamics 82(1): 527–533.
  • Khan M, Shah T, (2015) An efficient construction of substitution box with fractional chaotic system, Signal, Image and Video Processing 9(6): 1335–1338.
  • Jamal S, Khan M, Shah T, (2016) A Watermarking Technique with Chaotic Fractional S-Box Transformation, Wireless Personal Communications 90(4): 2033–2049.
  • Khan M, Shah T, Batool S, (2016) Construction of S-box based on chaotic Boolean functions and its application in image encryption. Neural Computing and Applications 27(3): 677-685.
  • Khan M, Shah T, Batool S, (2016) A new implementation of chaotic S-boxes in CAPTCHA. Signal, Image and Video Processing 10(2): 293-300.
  • Khan M, Asghar Z, A novel construction of substitution box for image encryption applications with Gingerbreadman chaotic map and S8 permutation, Neural Computing and Applications, DOI: 10.1007/s00521-016-2511-5.
  • Lambić D, (2017) A novel method of S-box design based on discrete chaotic map, Nonlinear Dynamics 87(4): 2407–2413.
  • Farah T, Rhouma R, Belghith S, A novel method for designing S-box based on chaotic map and Teaching–Learning-Based Optimization, Nonlinear Dynamics 88(2): 1059–1074.
  • Özkaynak F, Çelik V, Özer A, (2017) A new S-box construction method based on the fractional-order chaotic Chen system, Signal, Image and Video Processing 11(4): 659–664.
  • Belazi A, Latif A, (2017) A simple yet efficient S-box method based on chaotic sine map, Optik - International Journal for Light and Electron Optics 130: 1438–1444.
  • Belazi A, Latif A, Diaconu A, Rhouma R, Belghith S, (2017) Chaos-based partial image encryption scheme based on linear fractional and lifting wavelet transforms, Optics and Lasers in Engineering 88: 37–50.
  • Belazi A, Khan M, Latif A, Belghith S, (2017) Efficient cryptosystem approaches: S-boxes and permutation–substitution-based encryption, Nonlinear Dynamics 87(1): 337–361.
  • Çavuşoğlu Ü, Zengin A, Pehlivan İ, Kaçar S, (2017) A novel approach for strong S-Box generation algorithm design based on chaotic scaled Zhongtang system, Nonlinear Dynamics 87(2): 1081–1094.
  • Islam F, Liu G, (2017) Designing S-Box Based on 4D-4Wing Hyperchaotic System, 3D Research, 8:9.
There are 41 citations in total.

Details

Primary Language English
Subjects Computer Software, Electrical Engineering
Journal Section Research Article
Authors

Ahmet Bedri Özer This is me

Publication Date December 30, 2017
Published in Issue Year 2017 Volume: 7 Issue: 2

Cite

APA Özer, A. B. (2017). AN ALTERNATIVE S-BOX DESIGN METHOD BASED ON RANDOM SELECTION. European Journal of Technique (EJT), 7(2), 229-236.

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