Abstract
In this paper, we investigate the security of the NOEKEON block cipher against side channel cube attacks. NOEKEON was proposed by Daemen et al. for the NESSIE project. The block size and the key size are both 128 bits. The cube attack, introduced by Dinur and Shamir at EUROCRYPT 2009, is a new type of algebraic cryptanalysis. The attack may be applied if the adversary has access to a single bit of information that can be represented by a low degree multivariate polynomial over GF(2) of secret and public variables. In the side channel attack model, the attacker is assumed to have access to some leaked information about the internal state of the cipher as well as the plaintext and ciphertext. Adopting the notion of a single bit leakage as formalized by Dinur and Shamir, we assume that the attacker has only one bit of information about the intermediate state after each round. Using this side channel attack model, we show that it is possible to extract 60 independent linear equations over 99 (out of 128) key variables. To recover the whole 128-bit key, the attack requires only about 210 chosen plaintext and O(268) time complexity.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Anderson, R., Biham, B., Knudsen, L.: Serpent: A Proposal for the Advanced Encryption Standard. In: First Advanced Encryption Standard (AES) Conference (1998)
Aumasson, J.-P., Dinur, I., Meier, W., Shamir, A.: Cube Testers and Key Recovery Attacks on Reduced-Round MD6 and Trivium. In: Dunkelman, O. (ed.) Fast Software Encryption. LNCS, vol. 5665, pp. 1–22. Springer, Heidelberg (2009)
Biham, E.: New Types of Cryptanalytic Attacks Using Related Keys. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 229–246. Springer, Heidelberg (1994)
Blum, M., Luby, M., Rubinfield, R.: Self-Testing/Correcting with Application to Numerical Problems. In: STOC, pp. 73–83. ACM, New York (1990)
Bogdanov, A., Knudsen, L.R., Leander, G., Paar, C., Poschmann, A., Robshaw, M.J.B., Seurin, Y., Vikkelsoe, C.: PRESENT: An Ultra-Lightweight Block Cipher. In: Paillier, P., Verbauwhede, I. (eds.) CHES 2007. LNCS, vol. 4727, pp. 450–466. Springer, Heidelberg (2007)
De Cannière, C., Preneel, B.: TRIVIUM. In: Robshaw, M.J.B., Billet, O. (eds.) New Stream Cipher Designs. LNCS, vol. 4986, pp. 244–266. Springer, Heidelberg (2008)
Daemen, J., Rijmen, V.: AES Proposal: Rijndael. Technical Evaluation, CD-1: Documentation (1998)
Daemen, J., Peeters, M., Van Assche, G., Rijmen, V.: Nessie Proposal: NOEKEON. In: First Open NESSIE Workshop (2000), http://gro.noekeon.org
Dinur, I., Shamir, A.: Cube Attacks on Tweakable Black Box Polynomials. In: Joux, A. (ed.) EUROCRYPT 2009. LNCS, vol. 5479, pp. 278–299. Springer, Heidelberg (2009)
Dinur, I., Shamir, A.: Side Channel Cube Attacks on Block Ciphers. Cryptology ePrint Archive, Report 2009/127 (2009), http://eprint.iacr.org/2009/127
Fraenkel, A.S., Yesha, Y.: Complexity of Problems in Games, Graphs, and Algebraic Equations. Discr. Appl. Math. 1, 15–30 (1979)
Mamiya, H., Miyaji, A., Morimoto, H.: Efficient Countermeasures against RPA, DPA, and SPA. In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, vol. 3156, pp. 243–319. Springer, Heidelberg (2004)
Mangard, S.: Hardware countermeasures against DPA – A statistical analysis of their effectiveness. In: Okamoto, T. (ed.) CT-RSA 2004. LNCS, vol. 2964, pp. 222–235. Springer, Heidelberg (2004)
Rivest, R., Agre, B., Bailey, D.V., Crutchfield, C., Dodis, Y., Fleming, K.E., Khan, A., Krishnamurthy, J., Lin, Y., Reyzin, L., Shen, E., Sukha, J., Sutherland, D., Tromer, E., Yin, Y.L.: The MD6 Hash Function - A Proposal to NIST for SHA-3, http://groups.csail.mit.edu/cis/md6/
Yang, L., Wang, M., Qiao, S.: Side Channel Cube Attack on PRESENT. In: Miyaji, A., Echizen, I., Okamoto, T. (eds.) CANS 2009. LNCS, vol. 5888, pp. 379–391. Springer, Heidelberg (2009)
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
Abdul-Latip, S.F., Reyhanitabar, M.R., Susilo, W., Seberry, J. (2010). On the Security of NOEKEON against Side Channel Cube Attacks. 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_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-12827-1_4
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)