Abstract
Vortex is a hash function that was first presented at ISC’2008, then submitted to the NIST SHA-3 competition after some modifications. This paper describes several attacks on both versions of Vortex, including collisions, second preimages, preimages, and distinguishers. Our attacks exploit flaws both in the high-level design and in the lower-level algorithms.
The work in this paper has been supported in part by the European Commission under contract ICT-2007-216646 (ECRYPT II) and by the IAP Programme P6/26 BCRYPT of the Belgian State (Belgian Science Policy).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Andreeva, E., Bouillaguet, C., Fouque, P.-A., Hoch, J.J., Kelsey, J., Shamir, A., Zimmer, S.: Second preimage attacks on dithered hash functions. In: Smart, N.P. (ed.) EUROCRYPT 2008. LNCS, vol. 4965, pp. 270–288. Springer, Heidelberg (2008)
Bellare, M., Canetti, R., Krawczyk, H.: Keying hash functions for message authentication. In: Koblitz, N. (ed.) CRYPTO 1996. LNCS, vol. 1109, pp. 1–15. Springer, Heidelberg (1996)
Bellare, M., Ristenpart, T.: Multi-property-preserving hash domain extension and the EMD transform. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 299–314. Springer, Heidelberg (2006)
Ferguson, N.: Simple correlation on some of the output bits of Vortex. OFFICIAL COMMENT (local link) (2008), http://ehash.iaik.tugraz.at/uploads/6/6d/Vortex_correlation.txt
Gueron, S., Kounavis, M.E.: Vortex: A new family of one-way hash functions based on AES rounds and carry-less multiplication. In: Wu, T.-C., Lei, C.-L., Rijmen, V., Lee, D.-T. (eds.) ISC 2008. LNCS, vol. 5222, pp. 331–340. Springer, Heidelberg (2008)
Knudsen, L.R., Mendel, F., Rechberger, C., Thomsen, S.S.: Cryptanalysis of MDC-2. In: Joux, A. (ed.) EUROCRYPT 2009. LNCS, pp. 106–120. Springer, Heidelberg (2009)
Kounavis, M.: Vortex – a new family of one way hash functions based on Rijndael rounds and carry-less multiplication. In: Candidate presentation at the First SHA-3 Conference (February 2009), http://csrc.nist.gov/groups/ST/hash/sha-3/Round1/Feb2009/program.html
Kounavis, M., Gueron, S.: Vortex: A new family of one way hash functions based on Rijndael rounds and carry-less multiplication. In: NIST (2008) (submission), http://eprint.iacr.org/2008/464.pdf
Lai, X., Massey, J.L.: Hash function based on block ciphers. In: Rueppel, R.A. (ed.) EUROCRYPT 1992. LNCS, vol. 658, pp. 55–70. Springer, Heidelberg (1993)
Meyer, C.H., Schilling, M.: Secure program load with manipulation detection code. In: SECURICOM 1988, pp. 111–130 (1988)
Motwani, R., Raghavan, P.: Randomized Algorithms. Cambridge University Press, Cambridge (1995)
Suzuki, K., Tonien, D., Kurosawa, K., Toyota, K.: Birthday paradox for multi-collisions. In: Rhee, M.S., Lee, B. (eds.) ICISC 2006. LNCS, vol. 4296, pp. 29–40. Springer, Heidelberg (2006)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Aumasson, JP., Dunkelman, O., Mendel, F., Rechberger, C., Thomsen, S.S. (2009). Cryptanalysis of Vortex. In: Preneel, B. (eds) Progress in Cryptology – AFRICACRYPT 2009. AFRICACRYPT 2009. Lecture Notes in Computer Science, vol 5580. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02384-2_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-02384-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02383-5
Online ISBN: 978-3-642-02384-2
eBook Packages: Computer ScienceComputer Science (R0)