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Three-Subset Meet-in-the-Middle Attack on Reduced XTEA

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Progress in Cryptology - AFRICACRYPT 2012 (AFRICACRYPT 2012)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7374))

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Abstract

This paper presents an improved single-key attack on a block-cipher XTEA by using the three-subset meet-in-the-middle (MitM) attack. Firstly, a technique on a generic block-cipher is discussed. It points out that the previous work applying the splice-and-cut technique to the three-subset MitM attack contains incomplete arguments, and thus it requires a very large data complexity, which is close to the code book. This paper gives a corrected procedure to keep the data complexity small. Secondly, the three-subset MitM attack is applied for reduced-round XTEA, which is a 64-bit block-cipher with 64-round Feistel network and a 128-bit key. 25 rounds are attacked with 9 known plaintexts and 2120.40 XTEA computations, while the previous best single-key attack only reaches 23 rounds. In the chosen-plaintext model, the attack is extended to 28 rounds with 237 chosen-plaintexts and 2120.38 computations.

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References

  1. Wheeler, D.J., Needham, R.M.: TEA, a Tiny Encryption Algorithm. In: Preneel, B. (ed.) FSE 1994. LNCS, vol. 1008, pp. 363–366. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  2. Steil, M.: 17 mistakes microsoft made in the Xbox security system. In: 22nd Chaos Communication Congress (2005), http://events.ccc.de/congress/2005/fahrplan/events/559.en.html

  3. Kelsey, J., Schneier, B., Wagner, D.: Key-Schedule Cryptanalysis of IDEA, G-DES, GOST, SAFER, and Triple-DES. In: Koblitz, N. (ed.) CRYPTO 1996. LNCS, vol. 1109, pp. 237–251. Springer, Heidelberg (1996)

    Google Scholar 

  4. Kelsey, J., Schneier, B., Wagner, D.: Related-key Cryptanalysis of 3-WAY, Biham-DES, CAST, DES-X, NewDES, RC2, and TEA. In: Han, Y., Okamoto, T., Qing, S. (eds.) ICICS 1997. LNCS, vol. 1334, pp. 233–246. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  5. Needham, R.M., Wheeler, D.J.: TEA extensions. Technical report, Computer Laboratory, University of Cambridge (1997)

    Google Scholar 

  6. Needham, R.M., Wheeler, D.J.: Correction to xtea. Technical report, Computer Laboratory, University of Cambridge (1998), http://www.movable-type.co.uk/scripts/xxtea.pdf

  7. Saarinen, M.J.O.: Cryptanalysis of Block-TEA (1998) (unpublished manuscript), http://groups.google.com/group/sci.crypt.research/msg/f52a533d1e2fa15e

  8. Yarrkov, E.: Cryptanalysis of XXTEA. Cryptology ePrint Archive, Report 2010/254 (2010), http://eprint.iacr.org/2010/254

  9. Kaps, J.-P.: Chai-Tea, Cryptographic Hardware Implementations of xTEA. In: Chowdhury, D.R., Rijmen, V., Das, A. (eds.) INDOCRYPT 2008. LNCS, vol. 5365, pp. 363–375. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  10. Bouillaguet, C., Dunkelman, O., Leurent, G., Fouque, P.-A.: Another Look at Complementation Properties. In: Hong, S., Iwata, T. (eds.) FSE 2010. LNCS, vol. 6147, pp. 347–364. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  11. Ko, Y., Hong, S., Lee, W., Lee, S., Kang, J.-S.: Related Key Differential Attacks on 27 Rounds of XTEA and Full-Round GOST. In: Roy, B., Meier, W. (eds.) FSE 2004. LNCS, vol. 3017, pp. 299–316. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  12. Lee, E., Hong, D., Chang, D., Hong, S., Lim, J.: A Weak Key Class of XTEA for a Related-Key Rectangle Attack. In: Nguyên, P.Q. (ed.) VIETCRYPT 2006. LNCS, vol. 4341, pp. 286–297. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  13. Lu, J.: Related-key rectangle attack on 36 rounds of the XTEA block cipher. Int. J. Inf. Sec. 8(1), 1–11 (2009)

    Article  Google Scholar 

  14. Moon, D., Hwang, K., Lee, W., Lee, S., Lim, J.: Impossible Differential Cryptanalysis of Reduced Round XTEA and TEA. In: Daemen, J., Rijmen, V. (eds.) FSE 2002. LNCS, vol. 2365, pp. 49–60. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  15. Hong, S., Hong, D., Ko, Y., Chang, D., Lee, W., Lee, S.: Differential Cryptanalysis of TEA and XTEA. In: Lim, J.-I., Lee, D.-H. (eds.) ICISC 2003. LNCS, vol. 2971, pp. 402–417. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  16. Sekar, G., Mouha, N., Velichkov, V., Preneel, B.: Meet-in-the-Middle Attacks on Reduced-Round XTEA. In: Kiayias, A. (ed.) CT-RSA 2011. LNCS, vol. 6558, pp. 250–267. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  17. Chen, J., Wang, M., Preneel, B.: Impossible differential cryptanalysis of the lightweight block ciphers TEA, XTEA and HIGHT. Cryptology ePrint Archive, Report 2011/616 (2011), http://eprint.iacr.org/2011/616

  18. Diffie, W., Hellman, M.E.: Exhaustive cryptanalysis of the NBS Data Encryption Standard. Computer 6(10) (1977)

    Google Scholar 

  19. Chaum, D., Evertse, J.-H.: Cryptanalysis of DES with a Reduced Number of Rounds. In: Williams, H.C. (ed.) CRYPTO 1985. LNCS, vol. 218, pp. 192–211. Springer, Heidelberg (1986)

    Google Scholar 

  20. Demirci, H., Selçuk, A.A.: A Meet-in-the-Middle Attack on 8-Round AES. In: Nyberg, K. (ed.) FSE 2008. LNCS, vol. 5086, pp. 116–126. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  21. 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)

    Chapter  Google Scholar 

  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)

    Chapter  Google Scholar 

  23. Aoki, K., Sasaki, Y.: Meet-in-the-Middle Preimage Attacks Against Reduced SHA-0 and SHA-1. In: Halevi, S. (ed.) CRYPTO 2009. LNCS, vol. 5677, pp. 70–89. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  24. 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)

    Chapter  Google Scholar 

  25. Bogdanov, A., Rechberger, C.: A 3-Subset Meet-in-the-Middle Attack: Cryptanalysis of the Lightweight Block Cipher KTANTAN. In: Biryukov, A., Gong, G., Stinson, D.R. (eds.) SAC 2010. LNCS, vol. 6544, pp. 229–240. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  26. Biham, E., Dunkelman, O., Keller, N., Shamir, A.: New data-efficient attacks on reduced-round IDEA. Cryptology ePrint Archive, Report 2011/417 (2011), http://eprint.iacr.org/2011/417

  27. Bogdanov, A., Khovratovich, D., Rechberger, C.: Biclique Cryptanalysis of the Full AES. In: Lee, D.H., Wang, X. (eds.) ASIACRYPT 2011. LNCS, vol. 7073, pp. 344–371. Springer, Heidelberg (2011)

    Google Scholar 

  28. Isobe, T.: A Single-Key Attack on the Full GOST Block Cipher. In: Joux, A. (ed.) FSE 2011. LNCS, vol. 6733, pp. 290–305. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  29. Wei, L., Rechberger, C., Guo, J., Wu, H., Wang, H., Ling, S.: Improved meet-in-the-middle cryptanalysis of KTANTAN. Cryptology ePrint Archive, Report 2011/201 (2011), http://eprint.iacr.org/2011/201

  30. Wei, L., Rechberger, C., Guo, J., Wu, H., Wang, H., Ling, S.: Improved Meet-in-the-Middle Cryptanalysis of KTANTAN (Poster). In: Parampalli, U., Hawkes, P. (eds.) ACISP 2011. LNCS, vol. 6812, pp. 433–438. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  31. Sasaki, Y., Aoki, K.: Preimage Attacks on 3, 4, and 5-Pass HAVAL. In: Pieprzyk, J. (ed.) ASIACRYPT 2008. LNCS, vol. 5350, pp. 253–271. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  32. Handschuh, H., Naccache, D.: SHACAL: A family of block ciphers. Submission to the NESSIE Project (2008)

    Google Scholar 

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Author information

Authors and Affiliations

  1. NTT Secure Platform Laboratories, NTT Corporation, 3-9-11 Midori-cho, Musashino-shi, Tokyo, 180-8585, Japan

    Yu Sasaki

  2. The University of Electro-Communications, 1-5-1 Choufugaoka, Choufu-shi, Tokyo, 182-8585, Japan

    Lei Wang, Yasuhide Sakai, Kazuo Sakiyama & Kazuo Ohta

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  1. Yu Sasaki
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  2. Lei Wang
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  3. Yasuhide Sakai
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  4. Kazuo Sakiyama
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  5. Kazuo Ohta
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Editors and Affiliations

  1. Ecole Polytechnice Fédérale de Lausanne, IC - LASEC, Bâtiment INF 238, Station 14, 1015, Lausanne, Switzerland

    Aikaterini Mitrokotsa  & Serge Vaudenay  & 

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Sasaki, Y., Wang, L., Sakai, Y., Sakiyama, K., Ohta, K. (2012). Three-Subset Meet-in-the-Middle Attack on Reduced XTEA. In: Mitrokotsa, A., Vaudenay, S. (eds) Progress in Cryptology - AFRICACRYPT 2012. AFRICACRYPT 2012. Lecture Notes in Computer Science, vol 7374. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31410-0_9

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  • DOI: https://doi.org/10.1007/978-3-642-31410-0_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31409-4

  • Online ISBN: 978-3-642-31410-0

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