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Abstract
The notion of resilient function has been recently weakened to match more properly the features required for Boolean functions used in stream ciphers. We introduce and we study an alternate notion of almost resilient function. We show that it corresponds more closely to the requirements that make the cipher more resistant to precise attacks.
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References
Canteaut, A., Trabbia, M.: Improved fast correlation attacks using parity-check equations of weight 4 and 5. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, p. 573. Springer, Heidelberg (2000)
Carlet, C.: Boolean functions for cryptography and error correcting codes. In: Hammer, P., Crama, Y. (eds.) chapter of the monograph Boolean methods and models, Cambridge University Press, Cambridge (to be published),http://www-rocq.inria.fr/codes/Claude.Carlet/chap-fcts-Bool.pdf
Carlet, C.: On the secondary constructions of resilient and bent functions. In: Workshop on Coding, Cryptography and Combinatorics, pp. 3–28. Birkhäuser, Basel (2004)
Carlet, C.: On bent and highly nonlinear balanced/Resilient functions and their algebraic immunities. In: Fossorier, M.P.C., Imai, H., Lin, S., Poli, A. (eds.) AAECC 2006. LNCS, vol. 3857, pp. 1–28. Springer, Heidelberg (2006)
Carlet, C., Sarkar, P.: Spectral domain analysis of correlation immune and resilient boolean functions. Finite Fields and their Applications 8, 120–130 (2002)
Chepyzhov, V.V., Johansson, T., Smeets, B.: A simple algorithm for fast correlation attacks on stream ciphers. In: Schneier, B. (ed.) FSE 2000. LNCS, vol. 1978, pp. 181–195. Springer, Heidelberg (2001)
Courtois, N.T.: General principles of algebraic attacks and new design criteria for cipher components. In: Dobbertin, H., Rijmen, V., Sowa, A. (eds.) AES 2005. LNCS, vol. 3373, pp. 67–83. Springer, Heidelberg (2005)
Courtois, N., Meier, W.: Algebraic attacks on stream ciphers with linear feedback. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 345–359. Springer, Heidelberg (2003)
Ke, P.-H., Zhang, J., Wen, Q.-Y.: Further constructions of almost resilient functions. Cryptology ePrint Archive, Report 2005/453 (2005)
Kurosawa, K., Johansson, T., Stinson, D.: Almostk-wise Independent Sample Spaces and Their Cryptologic Applications. Journal of Cryptology 14(4), 301–324 (2001)
Kurosawa, K., Matsumoto, R.: Almost Security of Cryptographic Boolean Functions. IEEE Transactions on Information Theory 50(11), 2752–2761 (2004)
MacKay, D.J.C.: Information Theory, Inference, and Learning Algorithms. Cambridge University Press, Cambridge (2003)
Meier, W., Staffelbach, O.: Fast correlation attacks on certain stream ciphers. Journal of Cryptology 1(3), 159–176 (1989)
Mihaljević, M.J., Fossorier, M.P.C., Imai, H.: A Low-Complexity and High-Performance Algorithm for the Fast Correlation Attack. In: Schneier, B. (ed.) FSE 2000. LNCS, vol. 1978, pp. 196–210. Springer, Heidelberg (2001)
Molland, H., Mathiassen, J.E., Helleseth, T.: Improved fast correlation attack using low rate codes. In: Paterson, K.G. (ed.) Cryptography and Coding 2003. LNCS, vol. 2898, pp. 67–81. Springer, Heidelberg (2003)
Siegenthaler, T.: Correlation-immunity of nonlinear combining boolean fucntions for cryptographic applications. IEEE Transactions on Information Theory 30(5), 776–779 (1984)
Xiao, G.-Z., Massey, J.L.: A spectral characterization of correlation-immune combining functions. IEEE Transactions on Information Theory 34(3), 569–571 (1988)
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Authors and Affiliations
MAATICAH, Université de Paris 8, France
Claude Carlet, Philippe Guillot & Sihem Mesnager
INRIA, Projet Codes, Rocquencourt, France
Claude Carlet
- Claude Carlet
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- Philippe Guillot
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- Sihem Mesnager
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Editors and Affiliations
Department of Electrical and Computer Engineering, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada
Guang Gong
Department of Informatics, University of Bergen, PB 7803, 5020, Bergen, Norway
Tor Helleseth
Department of Electrical and Electronic Engineering, Yonsei University, 121-749, Seoul, Korea
Hong-Yeop Song
Dept. of Electronics and Electrical Engineering, Pohang University of Science and Technology (POSTECH), 790-784, Pohang, Kyungbuk, Korea
Kyeongcheol Yang
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Carlet, C., Guillot, P., Mesnager, S. (2006). On Immunity Profile of Boolean Functions. In: Gong, G., Helleseth, T., Song, HY., Yang, K. (eds) Sequences and Their Applications – SETA 2006. SETA 2006. Lecture Notes in Computer Science, vol 4086. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11863854_32
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