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On Highly Nonlinear S-Boxes and Their Inability to Thwart DPA Attacks

  • Conference paper
Progress in Cryptology - INDOCRYPT 2005 (INDOCRYPT 2005)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 3797))

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Abstract

Prouff has introduced recently, at FSE 2005, the notion of transparency order of S-boxes. This new characteristic is related to the ability of an S-box, used in a cryptosystem in which the round keys are introduced by addition, to thwart single-bit or multi-bit DPA attacks on the system. If this parameter has sufficiently small value, then the S-box is able to withstand DPA attacks without that ad-hoc modifications in the implementation be necessary (these modifications make the encryption about twice slower). We prove a lower bound on the transparency order of highly nonlinear S-boxes. We show that some highly nonlinear functions, and in particular the S-box of AES, have very bad transparency orders.

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References

  1. Biham, E., Shamir, A.: Differential Cryptanalysis of DES-like Cryptosystems. Journal of Cryptology 4(1), 3–72 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  2. Budaghyan, L., Carlet, C., Pott, A.: New Classes of Almost Bent and Almost Perfect Nonlinear Polynomials. In: Proceedings of the Workshop on Coding and Cryptography 2005, Bergen, pp. 306–315 (2005)

    Google Scholar 

  3. Canteaut, A., Charpin, P., Dobbertin, H.: Binary m-sequences with three-valued crosscorrelation: A proof of Welch’s conjecture. IEEE Trans. Inform. Theory 46(1), 4–8 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  4. Canteaut, A., Charpin, P., Dobbertin, H.: Weight divisibility of cyclic codes, highly nonlinear functions on GF(2m) and crosscorrelation of maximum-length sequences. SIAM Journal on Discrete Mathematics 13(1), 105–138 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  5. Carlet, C., Charpin, P., Zinoviev, V.: Codes, bent functions and permutations suitable for DES-like cryptosystems. Designs, Codes and Cryptography 15(2), 125–156 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  6. Chabaud, F., Vaudenay, S.: Links between differential and linear cryptanalysis. In: De Santis, A. (ed.) EUROCRYPT 1994. LNCS, vol. 950, pp. 356–365. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  7. Chari, S., Jutla, C., Rao, J., Rohatgi, P.: Towards sound approaches to counteract power analysis attacks. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 398–412. Springer, Heidelberg (1999)

    Google Scholar 

  8. Clavier, C., Coron, J.-S., Dabbous, N.: Differential power analysis in the presence of hardware countermeasures. In: Paar, C., Koç, Ç.K. (eds.) CHES 2000. LNCS, vol. 1965, pp. 252–263. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  9. Coron, J.-S., Goubin, L.: On Boolean and Arithmetic Masking against Differential Power Analysis. In: Paar, C., Koç, Ç.K. (eds.) CHES 2000. LNCS, vol. 1965, pp. 231–237. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  10. Dobbertin, H.: Almost perfect nonlinear power functions over GF(2n): the Welch case. IEEE Trans. Inform. Theory 45, 1271–1275 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  11. Dobbertin, H.: Almost perfect nonlinear power functions over GF(2n): a new case for n divisible by 5. In: Jungnickel, D., Niederreiter, H. (eds.) Proceedings of Finite Fields and Applications FQ5, Augsburg, Germany, pp. 113–121. Springer, Heidelberg (2000)

    Google Scholar 

  12. Golic, J., Tymen, C.: Multiplicative masking and power analysis of AES. In: Kaliski Jr., B.S., Koç, Ç.K., Paar, C. (eds.) CHES 2002. LNCS, vol. 2523, pp. 198–212. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  13. Dobbertin, H.: Almost perfect nonlinear power functions over GF(2n): the Niho case. Inform. and Comput. 151, 57–72 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  14. Goubin, L., Patarin, J.: DES and differential power analysis - the duplication method. In: Koç, Ç.K., Paar, C. (eds.) CHES 1999. LNCS, vol. 1717, pp. 158–172. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  15. Guilley, S., Hoogvorst, P., Pascalet, R.: Differential power analysis model and some results. In: Smart Card Research ann Advanced Applications VI - Cardis 2004, pp. 127–142. Kluwer Academic Publishers, Dordrecht (2004)

    Chapter  Google Scholar 

  16. Hasan, A.A.: Power analysis attacks and algorithmic approaches to their countermeasures for koblitz curve cryptosystems. In: Paar, C., Koç, Ç.K. (eds.) CHES 2000. LNCS, vol. 1965, pp. 93–108. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  17. Hollmann, H., Xiang, Q.: A proof of the Welch and Niho conjectures on crosscorrelations of binary m-sequences. In: Finite Fields and Their Applications 7, pp. 253–286 (2001)

    Google Scholar 

  18. Janwa, H., Wilson, R.: Hyperplane sections of Fermat varieties in P 3 in char. 2 and some applications to cyclic codes. In: Moreno, O., Cohen, G., Mora, T. (eds.) AAECC 1993. LNCS, vol. 673, pp. 180–194. Springer, Heidelberg (1993)

    Google Scholar 

  19. Kasami, T.: The weight enumerators for several classes of subcodes of the second order binary Reed-Muller codes. Inform. and Control 18, 369–394 (1971)

    Article  MATH  MathSciNet  Google Scholar 

  20. Kocher, P.: Timing attacks on implementations of Diffie-Hellman, RSA, DSS and other systems. In: Koblitz, N. (ed.) CRYPTO 1996. LNCS, vol. 1109, pp. 104–113. Springer, Heidelberg (1996)

    Google Scholar 

  21. Lachaud, G., Wolfmann, J.: The Weights of the Orthogonals of the Extended Quadratic Binary Goppa Codes. IEEE Trans. Inform. Theory 36, 686–692 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  22. Matsui, M.: Linear cryptanalysis method for DES cipher. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 386–397. Springer, Heidelberg (1994)

    Chapter  Google Scholar 

  23. Sommer, R.M.: Smartly analysing the simplicity and the power of simple power analysis on smartcards. In: Paar, C., Koç, Ç.K. (eds.) CHES 2000. LNCS, vol. 1965, pp. 78–92. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  24. Messerges, T., Dabbish, E., Sloan, R.: Power analysis attacks of modular exponentiation in smartcards. In: Koç, Ç.K., Paar, C. (eds.) CHES 1999. LNCS, vol. 1717, pp. 144–157. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  25. Nyberg, K.: On the construction of highly nonlinear permutations. In: Rueppel, R.A. (ed.) EUROCRYPT 1992. LNCS, vol. 658, pp. 92–98. Springer, Heidelberg (1993)

    Chapter  Google Scholar 

  26. Nyberg, K.: Differentially uniform mappings for cryptography. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 55–64. Springer, Heidelberg (1994)

    Chapter  Google Scholar 

  27. Prouff, E.: DPA attacks and S-boxes. In: Gilbert, H., Handschuh, H. (eds.) FSE 2005. LNCS, vol. 3557, pp. 424–441. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  28. Trichina, E., DeSeta, D., Germani, L.: Simplified Adaptive Multiplicative Masking for AES. In: Kaliski Jr., B.S., Koç, Ç.K., Paar, C. (eds.) CHES 2002. LNCS, vol. 2523, pp. 187–197. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

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Author information

Authors and Affiliations

  1. INRIA, Projet CODES, University of Paris 8 (MAATICAH), BP 105, 78153 Cedex, Le Chesnay, France

    Claude Carlet

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  1. Claude Carlet
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Editors and Affiliations

  1. Indian Statistical Institute, 203 B T Road, 700 108, Kolkata, India

    Subhamoy Maitra

  2. Indian Institute of Science, Bangalore

    C. E. Veni Madhavan

  3. Microsoft Research India Private Limited, “Scientia”, No:196/36, 2nd Main Road, Sadashivnagar, 560080, Bangalore, India

    Ramarathnam Venkatesan

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Carlet, C. (2005). On Highly Nonlinear S-Boxes and Their Inability to Thwart DPA Attacks. In: Maitra, S., Veni Madhavan, C.E., Venkatesan, R. (eds) Progress in Cryptology - INDOCRYPT 2005. INDOCRYPT 2005. Lecture Notes in Computer Science, vol 3797. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11596219_5

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  • DOI: https://doi.org/10.1007/11596219_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30805-8

  • Online ISBN: 978-3-540-32278-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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