Skip to main content
SpringerLink
Log in

Estimating the Probabilities of Low-Weight Differential and Linear Approximations on PRESENT-Like Ciphers

  • Conference paper
Information Security and Cryptology – ICISC 2012 (ICISC 2012)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7839))

Included in the following conference series:

Abstract

We use large but sparse correlation and transition-difference-probability submatrices to find the best linear and differential approximations respectively on PRESENT-like ciphers. This outperforms the branch and bound algorithm when the number of low-weight differential and linear characteristics grows exponentially which is the case in PRESENT-like ciphers. We found linear distinguishers on 23 rounds of the SPONGENT permutation. We also found better linear approximations on PRESENT using trails covering at most 4 active Sboxes which give us 24-round statistical saturation distinguishers which could be used to break 26 rounds of PRESENT.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aumasson, J.-P., Henzen, L., Meier, W., Naya-Plasencia, M.: Quark: A lightweight hash. In: Mangard, S., Standaert, F.-X. (eds.) CHES 2010. LNCS, vol. 6225, pp. 1–15. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  2. Blondeau, C., Gérard, B.: Multiple differential cryptanalysis: Theory and practice. In: Joux (ed.) [19], pp. 35–54

    Google Scholar 

  3. Bogdanov, A., Knezevic, M., Leander, G., Toz, D., Varici, K., Verbauwhede, I.: Spongent: The design space of lightweight cryptographic hashing. IEEE Transactions on Computers PP(99), 1 (2012)

    Google Scholar 

  4. Bogdanov, A., Knežević, M., Leander, G., Toz, D., Varıcı, K., Verbauwhede, I.: spongent: A lightweight hash function. In: Preneel, B., Takagi, T. (eds.) CHES 2011. LNCS, vol. 6917, pp. 312–325. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  5. Bogdanov, A., Knudsen, L.R., Leander, G., Paar, C., Poschmann, A., Robshaw, M.J.B., Seurin, Y., Vikkelsoe, C.: PRESENT: An ultra-lightweight block cipher. In: Paillier, P., Verbauwhede, I. (eds.) CHES 2007. LNCS, vol. 4727, pp. 450–466. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  6. Borghoff, J., Knudsen, L.R., Leander, G., Thomsen, S.S.: Cryptanalysis of present-like ciphers with secret s-boxes. In: Joux (ed.) [19], pp. 270–289

    Google Scholar 

  7. De Cannière, C., Dunkelman, O., Knežević, M.: KATAN and KTANTAN — A family of small and efficient hardware-oriented block ciphers. In: Clavier, C., Gaj, K. (eds.) CHES 2009. LNCS, vol. 5747, pp. 272–288. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  8. De Cannière, C., Preneel, B.: Trivium. In: Robshaw, Billet (eds.) [26], pp. 244–266

    Google Scholar 

  9. Cho, J.Y.: Linear cryptanalysis of reduced-round present. In: Pieprzyk, J. (ed.) CT-RSA 2010. LNCS, vol. 5985, pp. 302–317. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  10. Collard, B., Standaert, F.-X.: A statistical saturation attack against the block cipher PRESENT. In: Fischlin, M. (ed.) CT-RSA 2009. LNCS, vol. 5473, pp. 195–210. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  11. Daemen, J., Govaerts, R., Vandewalle, J.: Correlation matrices. In: Preneel, B. (ed.) FSE 1994. LNCS, vol. 1008, pp. 275–285. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  12. Daemen, J., Rijmen, V.: The Design of Rijndael: AES - The Advanced Encryption Standard. Springer (2002)

    Google Scholar 

  13. Daemen, J., Rijmen, V.: Probability distributions of correlation and differentials in block ciphers. IACR Cryptology ePrint Archive, 2005:212 (2005)

    Google Scholar 

  14. Guo, J., Peyrin, T., Poschmann, A.: The PHOTON family of lightweight hash functions. In: Rogaway, P. (ed.) CRYPTO 2011. LNCS, vol. 6841, pp. 222–239. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  15. Hell, M., Johansson, T., Maximov, A., Meier, W.: The grain family of stream ciphers. In: Robshaw, Billet (eds.) [26], pp. 179–190

    Google Scholar 

  16. Hermelin, M., Cho, J.Y., Nyberg, K.: Multidimensional extension of matsui’s algorithm 2. In: Dunkelman, O. (ed.) FSE 2009. LNCS, vol. 5665, pp. 209–227. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  17. Hermelin, M., Nyberg, K.: Linear cryptanalysis using multiple linear approximations. Cryptology ePrint Archive, Report 2011/093 (2011)

    Google Scholar 

  18. ISO/IEC 29192-2:2012. Information technology Security techniques Lightweight cryptography. Part 2: Block ciphers (2012)

    Google Scholar 

  19. Joux, A. (ed.): FSE 2011. LNCS, vol. 6733. Springer, Heidelberg (2011)

    MATH  Google Scholar 

  20. Lai, X., Massey, J.L.: Markov ciphers and differential cryptanalysis. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 17–38. Springer, Heidelberg (1991)

    Chapter  Google Scholar 

  21. Leander, G.: On linear hulls, statistical saturation attacks, present and a cryptanalysis of puffin. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 303–322. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  22. Matsui, M.: On correlation between the order of s-boxes and the strength of des. In: Santis (ed.) [28], pp. 366–375

    Google Scholar 

  23. Nyberg, K.: Linear approximation of block ciphers. In: Santis (ed.) [28], pp. 439–444

    Google Scholar 

  24. O’Connor, L., Golić, J.D.: A unified markov approach to differential and linear cryptanalysis. In: Pieprzyk, J., Safavi-Naini, R. (eds.) ASIACRYPT 1994. LNCS, vol. 917, pp. 387–397. Springer, Heidelberg (1995)

    Google Scholar 

  25. Ohkuma, K.: Weak keys of reduced-round PRESENT for linear cryptanalysis. In: Jacobson Jr., M.J., Rijmen, V., Safavi-Naini, R. (eds.) SAC 2009. LNCS, vol. 5867, pp. 249–265. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  26. Robshaw, M., Billet, O. (eds.): New Stream Cipher Designs. LNCS, vol. 4986. Springer, Heidelberg (2008)

    MATH  Google Scholar 

  27. Saad, Y.: SPARSKIT: A basic tool kit for sparse matrix computation. Research Institute for Advanced Computer Science, NASA Ames Research Center (1990)

    Google Scholar 

  28. De Santis, A. (ed.): EUROCRYPT 1994. LNCS, vol. 950. Springer, Heidelberg (1995)

    MATH  Google Scholar 

  29. Wang, M.: Differential cryptanalysis of reduced-round PRESENT. In: Vaudenay, S. (ed.) AFRICACRYPT 2008. LNCS, vol. 5023, pp. 40–49. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Technical University of Denmark, Lyngby, Denmark

    Mohamed Ahmed Abdelraheem

Authors
  1. Mohamed Ahmed Abdelraheem
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Computer Engineering, Sejong University, 143-747, Seoul, Korea

    Taekyoung Kwon

  2. School of Computer Science and Engineering, Inha University, 402-751, Incheon, Korea

    Mun-Kyu Lee

  3. National Security Research Institute, 306-600, Daejeon, Korea

    Daesung Kwon

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Abdelraheem, M.A. (2013). Estimating the Probabilities of Low-Weight Differential and Linear Approximations on PRESENT-Like Ciphers. In: Kwon, T., Lee, MK., Kwon, D. (eds) Information Security and Cryptology – ICISC 2012. ICISC 2012. Lecture Notes in Computer Science, vol 7839. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37682-5_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-37682-5_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37681-8

  • Online ISBN: 978-3-642-37682-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation