Skip to main content

Impossible Differential Cryptanalysis on Tweaked E2

  • Conference paper
Network and System Security (NSS 2012)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7645))

Included in the following conference series:

Abstract

E2, a 128-bit block cipher, is an AES candidate designed and submitted by NTT corporation. It employs a Feistel structure as global structure and 2-layer Substitution-Permutation Network structure in round function. The conservative structure makes E2 immune to kinds of current cryptanalysis. Previously, there is no result of impossible differential attacks on E2 since it was once supposed to have no more than 5-round impossible differential characteristic. In this paper, the immunity of tweaked E2 (E2 without initial transformation and final transformation) against impossible differential cryptanalysis is evaluated. We present many 6-round impossible differential characteristics of tweaked E2, by using one of which, we perform a 7-round attack on tweaked E2 with 128, 192 and 256 bits key and an 8-round attack on tweaked E2 with 256 bits key. The 7-round attack requires about 2120 chosen plaintexts and 2115.5 7-round encryptions; the 8-round attack needs 2121 chosen plaintexts and less than 2214 8-round encryptions.

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. Knudsen, L.: DEAL — A 128-bit Block Cipher. Technical Report 151, Department of Informatics, University of Bergen, Bergen, Norway (1998)

    Google Scholar 

  2. Biham, E., Biryukov, A., Shamir, A.: Cryptanalysis of Skipjack Reduced to 31 Rounds Using Impossible Differentials. In: Stern, J. (ed.) EUROCRYPT 1999. LNCS, vol. 1592, pp. 12–23. Springer, Heidelberg (1999)

    Google Scholar 

  3. Wu, W., Zhang, W., Feng, D.: Impossible Differential Cryptanalysis of Reduced-Round ARIA and Camellia. Journal of Computer Science and Technology 22(3), 449–456 (2007)

    Article  Google Scholar 

  4. Wu, W., Zhang, L., Zhang, W.: Improved Impossible Differential Cryptanalysis of Reduced-Round Camellia. In: Avanzi, R., Keliher, L., Sica, F. (eds.) SAC 2008. LNCS, vol. 5381, pp. 442–456. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  5. Lu, J., Kim, J., Keller, N., Dunkelman, O.: Improving the Efficiency of Impossible Differential Cryptanalysis of Reduced Camellia and MISTY1. In: Malkin, T. (ed.) CT-RSA 2008. LNCS, vol. 4964, pp. 370–386. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  6. Lu, J., Dunkelman, O., Keller, N., Kim, J.-S.: New Impossible Differential Attacks on AES. In: Chowdhury, D.R., Rijmen, V., Das, A. (eds.) INDOCRYPT 2008. LNCS, vol. 5365, pp. 279–293. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  7. Dunkelman, O., Keller, N.: An Improved Impossible Differential Attack on MISTY1. In: Pieprzyk, J. (ed.) ASIACRYPT 2008. LNCS, vol. 5350, pp. 441–454. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  8. Mala, H., Shakiba, M., Dakhilalian, M., Bagherikaram, G.: New Results on Impossible Differential Cryptanalysis of Reduced–Round Camellia–128. In: Jacobson Jr., M.J., Rijmen, V., Safavi-Naini, R. (eds.) SAC 2009. LNCS, vol. 5867, pp. 281–294. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  9. Zhang, W., Han, J.: Impossible Differential Analysis of Reduced Round CLEFIA. In: Yung, M., Liu, P., Lin, D. (eds.) Inscrypt 2008. LNCS, vol. 5487, pp. 181–191. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  10. Kim, J., Hong, S., Sung, J., Lee, S., Lim, J., Sung, S.: Impossible Differential Cryptanalysis for Block Cipher Structures. In: Johansson, T., Maitra, S. (eds.) INDOCRYPT 2003. LNCS, vol. 2904, pp. 82–96. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  11. Kanda, M., Moriai, S., Aoki, K., Ueda, H., Takashima, Y., Ohta, K., Matsumoto, T.: E2–A New 128-Bit Block Cipher. IEICE Transactions Fundamentals of Electronics, Communications and Computer Sciences E83-A(1), 48–59 (2000)

    Google Scholar 

  12. Matsui, M., Tokita, T.: Cryptanalysis of a Reduced Version of the Block Cipher E2. In: Knudsen, L. (ed.) FSE 1999. LNCS, vol. 1636, pp. 71–80. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  13. Moriai, S., Sugita, M., Aoki, K., Kanda, M.: Security of E2 against Truncated Differential Cryptanalysis. In: Heys, H., Adams, C. (eds.) SAC 1999. LNCS, vol. 1758, pp. 106–117. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  14. Aoki, K., Kanda, M.: Search for Impossible Differential of E2, http://csrc.nist.gov/encryption/aes/round1/comment

  15. Sugita, M., Kobara, K., Imai, H.: Pseudorandomness and Maximum Average of Differential Probability of Block Ciphers with SPN-Structures like E2. In: Proceedings of the Second Advanced Encryption Standard Candidate Conference, pp. 200–214 (1999)

    Google Scholar 

  16. Sugita, M.: Security of Block Ciphers with SPN-Structures. Technical Report of IEICE. ISEC 98–30

    Google Scholar 

  17. Kanda, M., Takashima, Y., Matsumoto, T., Aoki, K., Ohta, K.: A Strategy for Constructing Fast Round Functions with Practical Security Against Differential and Linear Cryptanalysis. In: Tavares, S., Meijer, H. (eds.) SAC 1998. LNCS, vol. 1556, pp. 264–279. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  18. Wei, Y., Li, P., Sun, B., Li, C.: Impossible Differential Cryptanalysis on Feistel Ciphers with SP and SPS Round Functions. In: Zhou, J., Yung, M. (eds.) ACNS 2010. LNCS, vol. 6123, pp. 105–122. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wei, Y., Yang, X., Li, C., Du, W. (2012). Impossible Differential Cryptanalysis on Tweaked E2. In: Xu, L., Bertino, E., Mu, Y. (eds) Network and System Security. NSS 2012. Lecture Notes in Computer Science, vol 7645. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34601-9_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34601-9_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34600-2

  • Online ISBN: 978-3-642-34601-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics