[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
Skip to main content

Finding Good Differential Patterns for Attacks on SHA-1

  • Conference paper
Coding and Cryptography (WCC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 3969))

Included in the following conference series:

Abstract

In this paper we analyse properties of the message expansion algorithm of SHA-1 and describe a method of finding differential patterns that may be used to attack reduced versions of SHA-1. We show that the problem of finding optimal differential patterns for SHA-1 is equivalent to the problem of finding minimal weight codeword in a large linear code. Finally, we present a number of patterns of different lengths suitable for finding collisions and near-collisions and discuss some bounds on minimal weights of them.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Biham, E., Chen, R.: Near-collisions of SHA-0. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 290–305. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  2. Biham, E., Chen, R.: Near-collisions of SHA-0. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 290–305. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  3. Bosselaers, A., Preneel, B. (eds.): RIPE 1992. LNCS, vol. 1007. Springer, Heidelberg (1995)

    Google Scholar 

  4. Canteaut, A., Chabaud, F.: A new algorithm for finding minimum-weight words in a linear code: application to McEliece’s cryptosystem and to narrow-sense BCH codes of length 511. IEEE T. Inform. Theory 44(1), 367–378 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  5. Chabaud, F.: On the security of some cryptosystems based on error-correcting codes. In: De Santis, A. (ed.) EUROCRYPT 1994. LNCS, vol. 950, pp. 131–139. Springer, Heidelberg (1995)

    Google Scholar 

  6. Chabaud, F., Joux, A.: Differential collisions in SHA-0. In: Krawczyk, H. (ed.) CRYPTO 1998. LNCS, vol. 1462, pp. 56–71. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  7. den Boer, B., Bosselaers, A.: An attack on the last two rounds of MD4. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 194–203. Springer, Heidelberg (1992)

    Google Scholar 

  8. Dobbertin, H.: The status of MD5 after a recent attack. CryptoBytes 2(2), 1,3–6 (1996)

    MathSciNet  Google Scholar 

  9. Dobbertin, H.: RIPEMD with two-round compress function is not collison free. Journal of Cryptology 10(1), 51–70 (1997)

    Article  MATH  Google Scholar 

  10. Dobbertin, H.: Cryptanalysis of MD4. Journal of Cryptology 11(4), 253–271 (1998)

    Article  MATH  Google Scholar 

  11. FIPS 180. Secure hash standard (SHS). National Institute of Standards and Technology (May 1993) Replaced by [15]

    Google Scholar 

  12. Joux, A.: Collisions in SHA-0. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152. Springer, Heidelberg (2004)

    Google Scholar 

  13. Lemuet, C.: Collision in SHA-0. sci.crypt newsgroup message, Message-ID: cfg0071h1b1@io.uvsq.fr, August 12 (2004)

    Google Scholar 

  14. Leon, J.S.: A probabilistic algorithm for computing minimum weights of large error-correcting codes. IEEET. Inform. Theory 34(5), 1354–1359 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  15. National Institute of Standards and Technology. Secure hash standard (SHS). FIPS 180-2 (August 2002)

    Google Scholar 

  16. Pramstaller, N., Rechberger, C., Rijmen, V.: Exploiting coding theory for collision attacks on SHA-1. In: Smart, N.P. (ed.) Cryptography and Coding 2005. LNCS, vol. 3796, pp. 78–95. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  17. Rijmen, V., Oswald, E.: Update on SHA-1. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol. 3376, pp. 58–71. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  18. Rivest, R.L.: The MD4 message digest algorithm. In: Menezes, A., Vanstone, S.A. (eds.) CRYPTO 1990. LNCS, vol. 537, pp. 303–311. Springer, Heidelberg (1991)

    Google Scholar 

  19. Rivest, R.L.: The MD4 message digest algorithm. Request for Comments (RFC) 1320, Internet Engineering Task Force (April 1992)

    Google Scholar 

  20. Rivest, R.L.: The MD5 message digest algorithm. Request for Comments (RFC) 1321, Internet Engineering Task Force (April 1992)

    Google Scholar 

  21. Van Rompay, B., Biryukov, A., Preneel, B., Vandewalle, J.: Cryptanalysis of 3-pass HAVAL. In: Laih, C.-S. (ed.) ASIACRYPT 2003. LNCS, vol. 2894, pp. 228–245. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  22. Vardy, A.: The intractability of computing the minimum distance of a code. IEEET. Inform. Theory 43(6), 1757–1766 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  23. Wang, X., Lai, X., Feng, D., Chen, H., Yu, X.: Cryptanalysis of the hash functions MD4 and RIPEMD. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 1–18. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  24. Wang, X., Lai, X., Feng, D., Yu, H.: Collisions for hash functions MD4, MD5, HAVAL-128 and RIPEMD. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, Springer, Heidelberg (2004)

    Google Scholar 

  25. Wang, X., Lai, X., Feng, D., Yu, H.: Collisions for hash functions MD4, MD5, HAVAL-128 and RIPEMD. Cryptology ePrint Archive, Report, 2004/199 (August 2004), http://eprint.iacr.org/

  26. Wang, X., Yin, Y.L., Yu, H.: Finding collisions in the full SHA-1. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 17–36. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  27. Wang, X., Yu, H.: How to break MD5 and other hash functions. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 19–35. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  28. Wang, X., Yu, H., Yin, Y.L.: Efficient collision search attacks on SHA-0. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 1–16. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  29. Zheng, Y., Pieprzyk, J.: HAVAL – a one-way hashing algorithm with variable length of output. In: Zheng, Y., Seberry, J. (eds.) AUSCRYPT 1992. LNCS, vol. 718, pp. 83–104. Springer, Heidelberg (1993)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Matusiewicz, K., Pieprzyk, J. (2006). Finding Good Differential Patterns for Attacks on SHA-1. In: Ytrehus, Ø. (eds) Coding and Cryptography. WCC 2005. Lecture Notes in Computer Science, vol 3969. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11779360_14

Download citation

  • DOI: https://doi.org/10.1007/11779360_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35481-9

  • Online ISBN: 978-3-540-35482-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics