Preimage Attacks on Feistel-SP Functions: Impact of Omitting the Last Network Twist

  • Yu Sasaki
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7954)

Abstract

In this paper, generic attacks are presented against hash functions that are constructed by a hashing mode instantiating a Feistel or generalized Feistel networks with an SP-round function. It is observed that the omission of the network twist in the last round can be a weakness against preimage attacks. The first target is a standard Feistel network with an SP round function. Up to 11 rounds can be attacked in generic if a condition on a key schedule function is satisfied. The second target is a 4-branch type-2 generalized Feistel network with an SP round function. Up to 15 rounds can be attacked in generic. These generic attacks are then applied to hashing modes of ISO standard ciphers Camellia-128 without FL and whitening layers and CLEFIA-128.

Keywords

Feistel generalized Feistel SP round function hashing modes meet-in-the-middle attack preimage attack Camellia CLEFIA 

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References

  1. 1.
    Aoki, K., Guo, J., Matusiewicz, K., Sasaki, Y., Wang, L.: Preimages for step-reduced SHA-2. In: Matsui, M. (ed.) ASIACRYPT 2009. LNCS, vol. 5912, pp. 578–597. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  2. 2.
    Aoki, K., Ichikawa, T., Kanda, M., Matsui, M., Moriai, S., Nakajima, J., Tokita, T.: Camellia: A 128-Bit Block Cipher Suitable for Multiple Platforms - Design and Analysis. In: Stinson, D.R., Tavares, S. (eds.) SAC 2000. LNCS, vol. 2012, pp. 39–56. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  3. 3.
    Aoki, K., Sasaki, Y.: Preimage Attacks on One-Block MD4, 63-Step MD5 and More. In: Avanzi, R.M., Keliher, L., Sica, F. (eds.) SAC 2008. LNCS, vol. 5381, pp. 103–119. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  4. 4.
    Bogdanov, A., Shibutani, K.: Double SP-Functions: Enhanced Generalized Feistel Networks. In: Parampalli, U., Hawkes, P. (eds.) ACISP 2011. LNCS, vol. 6812, pp. 106–119. Springer, Heidelberg (2011)CrossRefGoogle Scholar
  5. 5.
    Coppersmith, D.: The data encryption standard (DES) and its strength against attacks. IBM Journal of Research and Development 38(3), 243–250 (1994)MathSciNetMATHCrossRefGoogle Scholar
  6. 6.
    Cryptography Research and Evaluation Committees (CRYPTREC). e-Government recommended ciphers list (2003)Google Scholar
  7. 7.
    Daemen, J., Rijmen, V.: The design of Rijndeal: AES – the Advanced Encryption Standard (AES). Springer (2002)Google Scholar
  8. 8.
    Dunkelman, O., Keller, N.: The effects of the omission of last round’s MixColumns on AES. Inf. Process. Lett. 110(8-9), 304–308 (2010)MathSciNetMATHCrossRefGoogle Scholar
  9. 9.
    Gauravaram, P., Leurent, G., Mendel, F., Naya-Plasencia, M., Peyrin, T., Rechberger, C., Schläffer, M.: Cryptanalysis of the 10-Round Hash and Full Compression Function of SHAvite-3-512. In: Bernstein, D.J., Lange, T. (eds.) AFRICACRYPT 2010. LNCS, vol. 6055, pp. 419–436. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  10. 10.
    Hong, D., Sung, J., Hong, S.H., Lim, J.-I., Lee, S.-J., Koo, B.-S., Lee, C.-H., Chang, D., Lee, J., Jeong, K., Kim, H., Kim, J.-S., Chee, S.: 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)CrossRefGoogle Scholar
  11. 11.
    International Organization for Standardization. ISO/IEC 10118-2:1994, Information technology – Security techniques – Hash-functions – Part 2: Hash-functions using an n-bit block cipher algorithm (2010)Google Scholar
  12. 12.
    ISO/IEC 18033-3:2010. Information technology–Security techniques–Encryption Algorithms–Part 3: Block ciphers (2010)Google Scholar
  13. 13.
    ISO/IEC 29192-2:2011. Information technology–Security techniques–Lightweight cryptography–Part 2: Block ciphers (2011)Google Scholar
  14. 14.
    Kang, H., Hong, D., Moon, D., Kwon, D., Sung, J., Hong, S.: Known-key attacks on generalized Feistel schemes with SP round function. IEICE Transactions 95-A(9), 1550–1560 (2012)Google Scholar
  15. 15.
    Knudsen, L.R., Rijmen, V.: Known-Key Distinguishers for Some Block Ciphers. In: Kurosawa, K. (ed.) ASIACRYPT 2007. LNCS, vol. 4833, pp. 315–324. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  16. 16.
    Menezes, A.J., van Oorschot, P.C., Vanstone, S.A.: Handbook of Applied Cryptography. CRC Press (1997)Google Scholar
  17. 17.
    Moon, D., Hong, D., Kwon, D., Hong, S.: Meet-in-the-Middle preimage attacks on hash modes of generalized Feistel and Misty schemes with SP round function. IEICE Transactions 95-A(8), 1379–1389 (2012)Google Scholar
  18. 18.
    Needham, R.M., Wheeler, D.J.: TEA extensions. Technical report, Computer Laboratory, University of Cambridge (October 1997)Google Scholar
  19. 19.
    New European Schemes for Signatures, Integrity, and Encryption(NESSIE). NESSIE PROJECT ANNOUNCES FINAL SELECTION OF CRYPTO ALGORITHMS (2003)Google Scholar
  20. 20.
    Preneel, B., Govaerts, R., Vandewalle, J.: Hash functions based on block ciphers: A synthetic approach. In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol. 773, pp. 368–378. Springer, Heidelberg (1994)CrossRefGoogle Scholar
  21. 21.
    Sasaki, Y.: Meet-in-the-middle preimage attack on AES hashing modes and an application to Whirlpool. In: Joux, A. (ed.) FSE 2011. LNCS, vol. 6733, pp. 378–396. Springer, Heidelberg (2011)CrossRefGoogle Scholar
  22. 22.
    Sasaki, Y., Aoki, K.: Finding preimages in full MD5 faster than exhaustive search. In: Joux, A. (ed.) EUROCRYPT 2009. LNCS, vol. 5479, pp. 134–152. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  23. 23.
    Sasaki, Y., Emami, S., Hong, D., Kumar, A.: Improved known-key distinguishers on Feistel-SP ciphers and application to Camellia. In: Susilo, W., Mu, Y., Seberry, J. (eds.) ACISP 2012. LNCS, vol. 7372, pp. 87–100. Springer, Heidelberg (2012)CrossRefGoogle Scholar
  24. 24.
    Sasaki, Y., Yasuda, K.: Known-key distinguishers on 11-round Feistel and collision attacks on its hashing modes. In: Joux, A. (ed.) FSE 2011. LNCS, vol. 6733, pp. 397–415. Springer, Heidelberg (2011)CrossRefGoogle Scholar
  25. 25.
    Shirai, T., Preneel, B.: On Feistel ciphers using optimal diffusion mappings across multiple rounds. In: Lee, P.J. (ed.) ASIACRYPT 2004. LNCS, vol. 3329, pp. 1–15. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  26. 26.
    Shirai, T., Shibutani, K.: Improving immunity of Feistel ciphers against differential cryptanalysis by using multiple MDS matrices. In: Roy, B., Meier, W. (eds.) FSE 2004. LNCS, vol. 3017, pp. 260–278. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  27. 27.
    Shirai, T., Shibutani, K., Akishita, T., Moriai, S., Iwata, T.: The 128-bit blockcipher CLEFIA (extended abstract). In: Biryukov, A. (ed.) FSE 2007. LNCS, vol. 4593, pp. 181–195. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  28. 28.
    U.S. Department of Commerce, National Institute of Standards and Technology. Specification for the ADVANCED ENCRYPTION STANDARD (AES) (Federal Information Processing Standards Publication 197) (2001)Google Scholar
  29. 29.
    Zheng, Y., Matsumoto, T., Imai, H.: On the construction of block ciphers provably secure and not relying on any unproved hypotheses. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 461–480. Springer, Heidelberg (1990)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Yu Sasaki
    • 1
  1. 1.NTT Secure Platform LaboratoriesMusashino-shiJapan

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