Abstract
Boolean functions are important primitives in cryptography. Accordingly, there exist numerous works on the methods of constructions of Boolean functions. However, the property specifying the resistance of Boolean functions against Differential Power Analysis (DPA) attacks was until now scarcely investigated and only for S-boxes. Here, we evolve Boolean functions that have higher resistance to DPA attacks than others published before by using two well-known evolutionary computation methods where genetic programming shows best performance.
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References
Aguirre, H., Okazaki, H., Fuwa, Y.: An evolutionary multiobjective approach to design highly non-linear boolean functions. In: Proceedings of the Genetic and Evolutionary Computation Conference, GECCO 2007, pp. 749–756 (2007)
Braeken, A.: Cryptographic Properties of Boolean Functions and S-Boxes. PhD thesis, Katholieke Universiteit Leuven (2006)
Burnett, L.: Heuristic Optimization of Boolean Functions and Substitution Boxes for Cryptography. PhD thesis, Faculty of Information Technology, Queensland University of Technology (2005)
Burnett, L., Millan, W., Dawson, E., Clark, A.: Simpler methods for generating better boolean functions with good cryptographic properties. Australasian Journal of Combinatorics 29, 231–247 (2004)
Cid, C., Kiyomoto, S., Kurihara, J.: The RAKAPOSHI Stream Cipher. In: Qing, S., Mitchell, C.J., Wang, G. (eds.) ICICS 2009. LNCS, vol. 5927, pp. 32–46. Springer, Heidelberg (2009)
Jakobovic, D., et al.: Evolutionary computation framework (December 2013), http://gp.zemris.fer.hr/ecf/
Katz, J., Lindell, Y.: Introduction to Modern Cryptography. Chapman and Hall/CRC, Boca Raton (2008)
Mangard, S., Oswald, E., Popp, T.: Power Analysis Attacks: Revealing the Secrets of Smart Cards. Advances in Information Security. Springer-Verlag New York, Inc., Secaucus (2007)
Mazumdar, B., Mukhopadhay, D., Sengupta, I.: Constrained Search for a Class of Good Bijective S-Boxes with Improved DPA Resistivity. IEEE Transactions on Information Forensics and Security PP(99), 1 (2013)
McLaughlin, J., Clark, J.A.: Evolving balanced boolean functions with optimal resistance to algebraic and fast algebraic attacks, maximal algebraic degree, and very high nonlinearity. Cryptology ePrint Archive, Report 2013/011 (2013), http://eprint.iacr.org/
Millan, W.L., Clark, A.J., Dawson, E.: Heuristic design of cryptographically strong balanced boolean functions. In: Nyberg, K. (ed.) EUROCRYPT 1998. LNCS, vol. 1403, pp. 489–499. Springer, Heidelberg (1998)
Picek, S., Ege, B., Batina, L., Jakobovic, D., Chmielewski, L., Golub, M.: On Using Genetic Algorithms for Intrinsic Side-channel Resistance: The Case of AES S-box. In: Proceedings of the First Workshop on Cryptography and Security in Computing Systems, CS2 2014, pp. 13–18. ACM, New York (2014)
Picek, S., Jakobovic, D., Golub, M.: Evolving Cryptographically Sound Boolean Functions. In: GECCO (Companion), pp. 191–192 (2013)
Prouff, E.: DPA Attacks and S-Boxes. In: Gilbert, H., Handschuh, H. (eds.) FSE 2005. LNCS, vol. 3557, pp. 424–441. Springer, Heidelberg (2005)
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Picek, S., Batina, L., Jakobovic, D. (2014). Evolving DPA-Resistant Boolean Functions. In: Bartz-Beielstein, T., Branke, J., Filipič, B., Smith, J. (eds) Parallel Problem Solving from Nature – PPSN XIII. PPSN 2014. Lecture Notes in Computer Science, vol 8672. Springer, Cham. https://doi.org/10.1007/978-3-319-10762-2_80
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DOI: https://doi.org/10.1007/978-3-319-10762-2_80
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