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A New Technique for Multidimensional Linear Cryptanalysis with Applications on Reduced Round Serpent

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Information Security and Cryptology – ICISC 2008 (ICISC 2008)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 5461))

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Abstract

In this paper, we present a new technique for Matsui’s algorithm 2 using multidimensional linear approximation. We show that the data complexity of the attack can be reduced significantly by our method even when the linear hull effect is present. We apply our method to the key recovery attack on 5-round Serpent and demonstrate that our attack is superior to previous attacks. We present evidence that it is theoretically possible to reduce the data complexity of the linear attack against 10 round Serpent by factor of 220 when multiple approximations are used.

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References

  1. Anderson, R., Biham, E., Knudsen, L.: Serpent: A proposal for the advanced encryption standard. In: First Advanced Encryption Standard (AES) conference (1998)

    Google Scholar 

  2. Baignères, T., Junod, P., Vaudenay, S.: How Far Can We Go Beyond Linear Cryptanalysis? In: Lee, P.J. (ed.) ASIACRYPT 2004. LNCS, vol. 3329, pp. 432–450. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  3. Biham, E., Dunkelman, O., Keller, N.: Linear cryptanalysis of reduced round Serpent. In: Matsui, M. (ed.) FSE 2001. LNCS, vol. 2355, pp. 219–238. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  4. Biryukov, A., De Cannière, C., Quisquater, M.: On multiple linear approximations. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 1–22. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  5. Collard, B., Standaert, F., Quisquater, J.: Improved and multiple linear cryptanalysis of reduced round Serpent. In: Pei, D., Yung, M., Lin, D., Wu, C. (eds.) Inscrypt 2007. LNCS, vol. 4990, pp. 47–61. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  6. Collard, B., Standaert, F., Quisquater, J.: Experiments on the multiple linear cryptanalysis of reduced round serpent. In: Nyberg, K. (ed.) FSE 2008. LNCS, vol. 5086, pp. 382–397. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  7. Collard, B., Standaert, F., Quisquater, J. (Accessed on 31.07.2008), http://www.dice.ucl.ac.be/fstandae/PUBLIS/50b.zip

  8. Hermelin, M., Cho, J., Nyberg, K.: Multidimensional linear cryptanalysis of reduced round Serpent. In: Mu, Y., Susilo, W., Seberry, J. (eds.) ACISP 2008. LNCS, vol. 5107, pp. 203–215. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  9. Kaliski, B., Robshaw, M.: Linear cryptanalysis using multiple approximations. In: Desmedt, Y.G. (ed.) CRYPTO 1994. LNCS, vol. 839, pp. 26–39. Springer, Heidelberg (1994)

    Google Scholar 

  10. Nyberg, K.: Linear approximation of block ciphers. In: De Santis, A. (ed.) EUROCRYPT 1994. LNCS, vol. 950, pp. 439–444. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  11. Seluk, A.: On probability of success in linear and differential cryptanalysis. Journal of Cryptology 21(1), 131–147 (2008)

    Article  MathSciNet  Google Scholar 

  12. Vaudenay, S.: An experiment on DES statistical cryptanalysis. In: CCS 1996: Proceedings of the 3rd ACM conference on Computer and communications security, pp. 139–147. ACM, New York (1996)

    Google Scholar 

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Cho, J.Y., Hermelin, M., Nyberg, K. (2009). A New Technique for Multidimensional Linear Cryptanalysis with Applications on Reduced Round Serpent. In: Lee, P.J., Cheon, J.H. (eds) Information Security and Cryptology – ICISC 2008. ICISC 2008. Lecture Notes in Computer Science, vol 5461. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00730-9_24

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  • DOI: https://doi.org/10.1007/978-3-642-00730-9_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00729-3

  • Online ISBN: 978-3-642-00730-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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