Skip to main content

Preimage Attacks on Step-Reduced SM3 Hash Function

  • Conference paper
Information Security and Cryptology - ICISC 2011 (ICISC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7259))

Included in the following conference series:

Abstract

This paper proposes a preimage attack on SM3 hash function reduced to 30 steps. SM3 is an iterated hash function based on the Merkle-Damgård design. It is a hash function used in applications such as the electronic certification service system in China. Our cryptanalysis is based on the Meet-in-the-Middle (MITM) attack. We utilize several techniques such as initial structure, partial matching and message compensation to improve the standard MITM preimage attack. Moreover, we use some observations on the SM3 hash function to optimize the computation complexity. Overall, a preimage of 30 steps SM3 hash function can be computed with a complexity of 2249 SM3 compression function computation, and requires a memory of 216. As far as we know, this is yet the first preimage result on the SM3 hash function.

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. 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)

    Google Scholar 

  2. 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 

  3. 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)

    Google Scholar 

  4. Leurent, G.: MD4 is Not One-Way. In: Nyberg, K. (ed.) FSE 2008. LNCS, vol. 5086, pp. 412–428. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  5. 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 

  6. Guo, J., Ling, S., Rechberger, C., Wang, H.: Advanced Meet-in-the-Middle Preimage Attacks: First Results on Full Tiger, and Improved Results on MD4 and SHA-2. In: Abe, M. (ed.) ASIACRYPT 2010. LNCS, vol. 6477, pp. 56–75. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  7. Dobbertin, H.: The First Two Rounds of MD4 are Not One-Way. In: Vaudenay, S. (ed.) FSE 1998. LNCS, vol. 1372, pp. 284–292. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  8. 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 

  9. Aumasson, J.-P., Meier, W., Mendel, F.: Preimage Attacks on 3-Pass HAVAL and Step-Reduced MD5. In: Avanzi, R.M., Keliher, L., Sica, F. (eds.) SAC 2008. LNCS, vol. 5381, pp. 120–135. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  10. Isobe, T., Shibutani, K.: Preimage Attacks on Reduced Tiger and SHA-2. In: Dunkelman, O. (ed.) FSE 2009. LNCS, vol. 5665, pp. 139–155. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  11. Indesteege, S., Preneel, B.: Preimages for Reduced-Round Tiger. In: Lucks, S., Sadeghi, A.-R., Wolf, C. (eds.) WEWoRC 2007. LNCS, vol. 4945, pp. 90–99. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  12. Mendel, F., Pramstaller, N., Rechberger, C.: A (Second) Preimage Attack on the GOST Hash Function. In: Nyberg, K. (ed.) FSE 2008. LNCS, vol. 5086, pp. 224–234. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  13. Sasaki, Y., Aoki, K.: Preimage Attacks on Step-Reduced MD5. In: Mu, Y., Susilo, W., Seberry, J. (eds.) ACISP 2008. LNCS, vol. 5107, pp. 282–296. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  14. 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 

  15. 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 

  16. Cannière, C.D., Rechberger, C.: Preimages for Reduced SHA-0 and SHA-1. In: Wagner, D. (ed.) CRYPTO 2008. LNCS, vol. 5157, pp. 179–202. Springer, Heidelberg (2008)

    Google Scholar 

  17. Sepecification of SM3 cryptographic hash function (in Chinese), http://www.oscca.gov.cn/UpFile/20101222141857786.pdf/

  18. Menezes, A.J., van Oorschot, P.C., Vanstone, S.A.: Handbook of Applied Cryptography. CRC Press (1996)

    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

Zou, J., Wu, W., Wu, S., Su, B., Dong, L. (2012). Preimage Attacks on Step-Reduced SM3 Hash Function. In: Kim, H. (eds) Information Security and Cryptology - ICISC 2011. ICISC 2011. Lecture Notes in Computer Science, vol 7259. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31912-9_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31912-9_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31911-2

  • Online ISBN: 978-3-642-31912-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics