AN ALTERNATIVE S-BOX DESIGN METHOD BASED ON RANDOM SELECTION

Öz

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.

Anahtar Kelimeler

• S-box design

Kaynakça

1. Cusick T, Stanica P, (2009) Cryptographic Boolean Functions and Applications, Elsevier.
2. Jakimoski G, Kocarev L, (2011) Chaos and cryptography: block encryption ciphers. IEEE Trans Circ Syst—I 48(2): 163–169.
3. 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.
4. 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.
5. 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.
6. Chen G, (2008) A novel heuristic method for obtaining S-boxes. Chaos, Solitons and Fractals 36: 1028–1036.
7. Özkaynak F, Özer A, (2010) A method for designing strong S-Boxes based on chaotic Lorenz system, Physics Letters A 374: 3733-3738.
8. 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.

9. 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.
10. 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.
11. 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.
12. 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.
13. Özkaynak F, Yavuz S, (2013) Designing chaotic S-boxes based on time-delay chaotic system, Nonlinear Dynamics 74(3): 551–557.
14. 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.
15. 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.
16. 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.
17. 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.
18. 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.
19. 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.
20. Khan M, Shah T, (2014) A construction of novel chaos base nonlinear component of block cipher, Nonlinear Dynamics 76(1): 377–382.
21. 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.
22. Lambić D, (2014) A novel method of S-box design based on chaotic map and composition method, Chaos, Solitons & Fractals 58: 16–21.
23. 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.
24. 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.
25. 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.
26. 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.
27. Ahmad M, Bhatia D, Hassan Y, (2015) A Novel Ant Colony Optimization Based Scheme for Substitution Box Design,Procedia Computer Science 57: 572-580.
28. Khan M, (2015) A novel image encryption scheme based on multiple chaotic S-boxes, Nonlinear Dynamics 82(1): 527–533.
29. Khan M, Shah T, (2015) An efficient construction of substitution box with fractional chaotic system, Signal, Image and Video Processing 9(6): 1335–1338.
30. Jamal S, Khan M, Shah T, (2016) A Watermarking Technique with Chaotic Fractional S-Box Transformation, Wireless Personal Communications 90(4): 2033–2049.
31. 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.
32. 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.
33. 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.
34. Lambić D, (2017) A novel method of S-box design based on discrete chaotic map, Nonlinear Dynamics 87(4): 2407–2413.
35. 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.
36. 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.
37. 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.
38. 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.
39. 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.
40. 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.
41. Islam F, Liu G, (2017) Designing S-Box Based on 4D-4Wing Hyperchaotic System, 3D Research, 8:9.