Skip to main content

Truncated Differential Analysis of Reduced-Round LBlock

  • Conference paper
Cryptology and Network Security (CANS 2013)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8257))

Included in the following conference series:

Abstract

In this paper we present truncated differential analysis of reduced-round LBlock by computing the differential distribution of every nibble of the state. LLR statistical test is used as a tool to apply the distinguishing and key-recovery attacks. To build the distinguisher, all possible differences are traced through the cipher and the truncated differential probability distribution is determined for every output nibble. We concatenate additional rounds to the beginning and end of the truncated differential distribution to apply the key-recovery attack. By exploiting properties of the key schedule, we obtain a large overlap of key bits used in the beginning and final rounds. This allows us to significantly increase the differential probabilities and hence reduce the attack complexity. We validate the analysis by implementing the attack on LBlock reduced to 12 rounds. Finally, we apply single-key and related-key attacks on 18 and 21-round LBlock, respectively.

Sareh Emami is supported by the Macquarie University MQRES scholarship. Josef Pieprzyk and Ron Steinfeld are supported by the ARC grant DP0987734. Ron Steinfeld is also supported by ARC Australian Research Fellowship (ARF).

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

Access this chapter

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. Albrecht, M.R., Leander, G.: An all-in-one approach to differential cryptanalysis for small block ciphers. In: Knudsen, L.R., Wu, H. (eds.) SAC 2012. LNCS, vol. 7707, pp. 1–15. Springer, Heidelberg (2013)

    Chapter  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. Blondeau, C., Gérard, B., Nyberg, K.: Multiple differential cryptanalysis using LLR and χ 2 statistics. In: Visconti, I., De Prisco, R. (eds.) SCN 2012. LNCS, vol. 7485, pp. 343–360. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  4. Blondeau, C., Nyberg, K.: New links between differential and linear cryptanalysis. In: Johansson, T., Nguyen, P.Q. (eds.) EUROCRYPT 2013. LNCS, vol. 7881, pp. 388–404. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  5. Bogdanov, A.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. Cover, T.M., Thomas, J.A.: Elements of information theory. Wiley-Interscience, New York (1991)

    Book  MATH  Google Scholar 

  7. 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 

  8. Hong, D., et al.: HIGHT: A New Block Cipher Suitable for Low-Resource Device. In: Goubin, L., Matsui, M. (eds.) CHES 2006. LNCS, vol. 4249, pp. 46–59. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  9. Knudsen, L., Leander, G., Poschmann, A., Robshaw, M.J.B.: PRINTcipher: A Block Cipher for IC-Printing. In: Mangard, S., Standaert, F.-X. (eds.) CHES 2010. LNCS, vol. 6225, pp. 16–32. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  10. Knudsen, L.R.: Truncated and higher order differentials. In: Preneel, B. (ed.) FSE 1994. LNCS, vol. 1008, pp. 196–211. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

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

    Chapter  Google Scholar 

  12. Liu, S., Gong, Z., Wang, L.: Improved related-key differential attacks on reduced-round LBlock. In: Chim, T.W., Yuen, T.H. (eds.) ICICS 2012. LNCS, vol. 7618, pp. 58–69. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  13. Liu, Y., Gu, D., Liu, Z., Li, W.: Impossible differential attacks on reduced-round LBlock. In: Ryan, M.D., Smyth, B., Wang, G. (eds.) ISPEC 2012. LNCS, vol. 7232, pp. 97–108. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  14. Minier, M., Naya-Plasencia, M.: A related key impossible differential attack against 22 rounds of the lightweight block cipher LBlock. Information Processing Letters 112(16), 624–629 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  15. Sasaki, Y., Wang, L.: Comprehensive study of integral analysis on 22-round LBlock. In: Kwon, T., Lee, M.-K., Kwon, D. (eds.) ICISC 2012. LNCS, vol. 7839, pp. 156–169. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  16. Soleimany, H., Nyberg, K.: Zero-correlation linear cryptanalysis of reduced-round LBlock. In: International Workshop on Coding and Cryptography, WCC 2013 (2013)

    Google Scholar 

  17. Wu, W., Zhang, L.: LBlock: A Lightweight Block Cipher. In: Lopez, J., Tsudik, G. (eds.) ACNS 2011. LNCS, vol. 6715, pp. 327–344. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer International Publishing Switzerland

About this paper

Cite this paper

Emami, S., McDonald, C., Pieprzyk, J., Steinfeld, R. (2013). Truncated Differential Analysis of Reduced-Round LBlock. In: Abdalla, M., Nita-Rotaru, C., Dahab, R. (eds) Cryptology and Network Security. CANS 2013. Lecture Notes in Computer Science, vol 8257. Springer, Cham. https://doi.org/10.1007/978-3-319-02937-5_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-02937-5_16

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02936-8

  • Online ISBN: 978-3-319-02937-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics