Abstract
The substitution box (S-box) is an essential component in cryptography. The desirable cryptographic properties of the S-box are bijective, non-linearity, strict avalanche, bit independence, and resiliency. The analyses of these properties determine the quality of S-box. This paper provides mathematical analysis of cryptographic properties of the convolution coder. Simulation results show that it satisfies most of the properties and robustness increases with the number of iteration.
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Hussain, I., Shah, T., Mahmoodm, H., Gondal, M.A.: A projective general linear group based algorithm for the construction of substitution box for block ci-phers. Neural Comput. Appl. 22(6), 1085–1093 (2013)
Khan, M., Shah, T., Gondal, M.A.: An efficient technique for the construction of substitution box with chaotic partial differential equation. Nonlinear Dyn., 73(3), 1795–1801 (2013)
Garg, S., Upadhyay, D.: S-box design approaches: critical analysis and future directions. Int. J. Adv. Res. Comput. Sci. Electron. Eng. (IJARCSEE) 2(4) (2013)
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 376, 827–833(2012)
Gangopadhyay, S., Gangopadhyay, A.K., Pollatos, S., et al.: Cryptographic Boolean func-tions with biased inputs Cryptogr. Commun. 9(2), 301–314 (2017)
Rachh, R.R., Ananda Mohan, P.V.: Implementation of AES S-boxes using combinational logic. In: IEEE International Symposium on Circuits and Systems, 2008. ISCAS 2008, pp. 3294–3297 (2008)
Nalini, C., Anandmohan, P.V., Poomaiah, D.V., Kulkarni, V.D.: Compact designs of subbytes and mixcolumn for AES. In: Advance Computing Conference, 2009. IACC 2009. IEEE International, pp. 1241–1247 (2009)
Mohamed, K., Mohammed Pauzi, M.N., Hj Mohd Ali, F.H., Ariffin, S., Nik Zulkipli, N.H.: Study of S-box properties in block cipher. In: 2014 International Conference on Computer, Communications, and Control Technology (I4CT), pp. 362–366, Langkawi (2014)
Dey, S., Ghosh, R.: A review of cryptographic properties of S-boxes with generation and analysis of crypto secure S-boxes. PeerJ Preprints 6, e26452v1 (2018)
Baby, R.A.: Convolution coding and applications: a performance analysis under AWGN channel. In: 2015 International Conference on Communication Networks (ICCN), pp. 84–88, Gwalior (2015)
Jakimoski, G., Kocarev, L.: Chaos and cryptography: block encryption ciphers based on chaotic maps. In: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applica-tions, vol. 48, no. 2, pp. 163–169 (2001)
Branstad, D.K., Gait, J., Katzke, S.: Report of the workshop on cryptography in sup-port of computer security. Tech. Rep. NBSIR 77–1291, National Bureau of Standards, Sept. (1976)
Webster, A.F., Tavares, S.E.: On the design of S-boxes. In: Williams H.C. (eds.), Advances in Cryptology—CRYPTO ’85 Proceedings. CRYPTO 1985. Lecture Notes in Computer Science, vol. 218. Springer, Berlin, Heidelberg (1986)
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RoyChatterjee, S., Sur, K., Chakraborty, M. (2020). Study on S-box Properties of Convolution Coder. In: Chakraborty, M., Chakrabarti, S., Balas, V. (eds) Proceedings of International Ethical Hacking Conference 2019. eHaCON 2019. Advances in Intelligent Systems and Computing, vol 1065. Springer, Singapore. https://doi.org/10.1007/978-981-15-0361-0_9
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DOI: https://doi.org/10.1007/978-981-15-0361-0_9
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