Abstract
Hash function Skein is one of the 14 NIST SHA-3 second round candidates. Threefish is a tweakable block cipher as the core of Skein, defined with a 256-, 512-, and 1024-bit block size. The 512-bit block size is the primary proposal of the authors. Skein had been updated after it entered the second round; the only difference between the original and the new version is the rotation constants. In this paper we construct related-key boomerang distinguishers on round-reduced Threefish-512 based on the new rotation constants using the method of modular differential. With these distinguishers, we mount related-key boomerang key recovery attacks on Threefish-512 reduced to 32, 33 and 34 rounds. The attack on 32-round Threefish-512 has time complexity 2195 with memory of 212 bytes. The attacks on Threefish-512 reduced to 33 and 34 rounds have time complexity of 2324.6 and 2474.4 encryptions respectively, and both with negligible memory. The best key recovery attack known before is proposed by Aumasson et al. Their attack, which bases on the old rotation constants, is also a related-key boomerang attack. For 32-round Threefish-512, their attack requires 2312 encryptions and 271 bytes of memory.
Supported by 973 Program of China (Grant No.2007CB807902) and National Outstanding Young Scientist fund of China (Grant No. 60525201).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Aumasson, J.-P., Calik, C., Meier, W., Ozen, O., Phan, R.C.W., Varici, K.: Improved Cryptanalysis of Skein. In: Matsui, M. (ed.) ASIACRYPT 2009. LNCS, vol. 5912, pp. 542–559. Springer, Heidelberg (2009)
Biham, E., Shamir, A.: Differential Cryptanalysis of The Data Encryption Standard. Springer, London (1993)
Biham, E., Dunkelman, O., Keller, N.: The Rectangle Attack - Rectangling the Serpent. In: Pfitzmann, B. (ed.) EUROCRYPT 2001. LNCS, vol. 2045, pp. 340–357. Springer, Heidelberg (2001)
Biham, E., Dunkelman, O., Keller, N.: Related-Key Boomerang and Rectangle Attacks. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 507–525. Springer, Heidelberg (2005)
Borghoff, J., Knudsen, L.R., Leander, G., Matusiewicz, K.: Cryptanalysis of C2. In: Halevi, S. (ed.) CRYPTO 2009. LNCS, vol. 5677, pp. 250–266. Springer, Heidelberg (2009)
Contini, S., Yin, Y.L.: Forgery and Partial Key-Recovery Attacks on HMAC and NMAC Using Hash Collisions. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 37–53. Springer, Heidelberg (2006)
Daum, M.: Cryptanalysis of Hash Fucntions of the MD4 Family, http://www.cits.rub.de/imperia/md/content/magnus/idissmd4.pdf
Kelsey, J., Khono, T., Schneier, B.: Amplified Boomerang Attacks Against Reduced-Round MARS and Serpent. In: Schneier, B. (ed.) FSE 2000. LNCS, vol. 1978, pp. 75–93. Springer, Heidelberg (2001)
Lipmaa, H., Moriai, S.: Efficient Algorithms for Computing Differential Properties of Addition. In: Matsui, M. (ed.) FSE 2001. LNCS, vol. 2355, pp. 336–350. Springer, Heidelberg (2002)
Ferguson, N., Lucks, S., Schneier, B., Whiting, D., Bellare, M., Kohno, T., Callas, J., Walker, J.: The Skein Hash Function Family, http://csrc.nist.gov/groups/ST/hash/sha-3/Round1/documents/Skein.zip
Ferguson, N., Lucks, S., Schneier, B., Whiting, D., Bellare, M., Kohno, T., Callas, J., Walker, J.: The Skein Hash Function Family, http://www.schneier.com/skein.pdf
Wagner, D.: The boomerang attack. In: Knudsen, L.R. (ed.) FSE 1999. LNCS, vol. 1636, pp. 156–170. Springer, Heidelberg (1999)
Wang, X.Y., Lai, X.J., Feng, D.G., Chen, H., Yu, X.Y.: Cryptanalysis of the Hash Functions MD4 and RIPEMD. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 1–18. Springer, Heidelberg (2005)
Wang, X.Y., Yu, H.B.: How to Break MD5 and Other Hash Functions. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 19–35. Springer, Heidelberg (2005)
Wang, X.Y., Yin, Y.L., Yu, H.B.: Finding Collisions in the Full SHA-1. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 1–16. Springer, Heidelberg (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chen, J., Jia, K. (2010). Improved Related-Key Boomerang Attacks on Round-Reduced Threefish-512. In: Kwak, J., Deng, R.H., Won, Y., Wang, G. (eds) Information Security, Practice and Experience. ISPEC 2010. Lecture Notes in Computer Science, vol 6047. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12827-1_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-12827-1_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12826-4
Online ISBN: 978-3-642-12827-1
eBook Packages: Computer ScienceComputer Science (R0)