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2014 | OriginalPaper | Buchkapitel

Related-Key Attacks Against Full Hummingbird-2

verfasst von : Markku-Juhani O. Saarinen

Erschienen in: Fast Software Encryption

Verlag: Springer Berlin Heidelberg

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Abstract

We present attacks on full Hummingbird-2 which are able to recover the 128-bit secret keys of two black box cipher instances that have a certain type of low-weight XOR difference in their keys. We call these highly correlated keys as they produce the same ciphertext with a significant probability. The complexity of our main chosen-IV key-recovery attack is \(2^{64}\). The first 64 bits of the key can be independently recovered with only \(2^{36}\) effort. This is the first sub-exhaustive attack on the full cipher under two related keys. Our attacks use some novel tricks and techniques which are made possible by Hummingbird-2’s unique word-based structure. We have verified the correctness and complexity of our attacks by fully implementing them. We also discuss enabling factors of these attacks and describe an alternative design for the WD16 nonlinear keyed function which is resistant to attacks of this type. The new experimental function replaces S-boxes with simple \(\chi \) functions.

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Literatur
1.
Zurück zum Zitat Engels, D., Saarinen, M.-J.O., Schweitzer, P., Smith, E.M.: The hummingbird-2 lightweight authenticated encryption algorithm. In: Juels, A., Paar, C. (eds.) RFIDSec 2011. LNCS, vol. 7055, pp. 19–31. Springer, Heidelberg (2012) Engels, D., Saarinen, M.-J.O., Schweitzer, P., Smith, E.M.: The hummingbird-2 lightweight authenticated encryption algorithm. In: Juels, A., Paar, C. (eds.) RFIDSec 2011. LNCS, vol. 7055, pp. 19–31. Springer, Heidelberg (2012)
2.
Zurück zum Zitat Engels, D.: HB2-128 crypto-suite proposal. Technical report, Revere Security, December 2011 Version 1.1 Engels, D.: HB2-128 crypto-suite proposal. Technical report, Revere Security, December 2011 Version 1.1
3.
Zurück zum Zitat Saarinen, M.-J.O.: Cryptanalysis of hummingbird-1. In: Joux, A. (ed.) FSE 2011. LNCS, vol. 6733, pp. 328–341. Springer, Heidelberg (2011) CrossRef Saarinen, M.-J.O.: Cryptanalysis of hummingbird-1. In: Joux, A. (ed.) FSE 2011. LNCS, vol. 6733, pp. 328–341. Springer, Heidelberg (2011) CrossRef
5.
Zurück zum Zitat Engels, D., Fan, X., Gong, G., Hu, H., Smith, E.M.: \(\sf Hummingbird\): Ultra-Lightweight Cryptography for Resource-Constrained Devices. In: Sion, R., Curtmola, R., Dietrich, S., Kiayias, A., Miret, J.M., Sako, K., Sebé, F. (eds.) FC 2010 Workshops. LNCS, vol. 6054, pp. 3–18. Springer, Heidelberg (2010) CrossRef Engels, D., Fan, X., Gong, G., Hu, H., Smith, E.M.: \(\sf Hummingbird\): Ultra-Lightweight Cryptography for Resource-Constrained Devices. In: Sion, R., Curtmola, R., Dietrich, S., Kiayias, A., Miret, J.M., Sako, K., Sebé, F. (eds.) FC 2010 Workshops. LNCS, vol. 6054, pp. 3–18. Springer, Heidelberg (2010) CrossRef
6.
Zurück zum Zitat Fan, X., Hu, H., Gong, G., Smith, E.M., Engels, D.: Lightweight implementation of Hummingbird cryptographic algorithm on 4-bit microcontroller. In: The 1st International Workshop on RFID Security and Cryptography (RISC’09), pp. 838–844 (2009) Fan, X., Hu, H., Gong, G., Smith, E.M., Engels, D.: Lightweight implementation of Hummingbird cryptographic algorithm on 4-bit microcontroller. In: The 1st International Workshop on RFID Security and Cryptography (RISC’09), pp. 838–844 (2009)
8.
Zurück zum Zitat Fan, X., Gong, G.: On the security of \(\sf {hummingbird-2}\) against side channel cube attacks. In: Armknecht, F., Lucks, S. (eds.) WEWoRC 2011. LNCS, vol. 7242, pp. 18–29. Springer, Heidelberg (2012) CrossRef Fan, X., Gong, G.: On the security of \(\sf {hummingbird-2}\) against side channel cube attacks. In: Armknecht, F., Lucks, S. (eds.) WEWoRC 2011. LNCS, vol. 7242, pp. 18–29. Springer, Heidelberg (2012) CrossRef
11.
Zurück zum Zitat Ferguson, N., Whiting, D., Schneier, B., Kelsey, J., Lucks, S., Kohno, T.: Helix: fast encryption and authentication in a single cryptographic primitive. In: Johansson, T. (ed.) FSE 2003. LNCS, vol. 2887, pp. 330–346. Springer, Heidelberg (2003) CrossRef Ferguson, N., Whiting, D., Schneier, B., Kelsey, J., Lucks, S., Kohno, T.: Helix: fast encryption and authentication in a single cryptographic primitive. In: Johansson, T. (ed.) FSE 2003. LNCS, vol. 2887, pp. 330–346. Springer, Heidelberg (2003) CrossRef
13.
Zurück zum Zitat Vaudenay, S.: On the need for multipermutations: cryptanalysis of MD4 and SAFER. In: Preneel, B. (ed.) FSE 1994. LNCS, vol. 1008, pp. 286–297. Springer, Heidelberg (1995) CrossRef Vaudenay, S.: On the need for multipermutations: cryptanalysis of MD4 and SAFER. In: Preneel, B. (ed.) FSE 1994. LNCS, vol. 1008, pp. 286–297. Springer, Heidelberg (1995) CrossRef
14.
Zurück zum Zitat Rijmen, V., Daemen, J., Preneel, B., Bosselaers, A., Win, E.D.: The cipher SHARK. In: Gollmann, D. (ed.) FSE 1996. LNCS, vol. 1039, pp. 99–111. Springer, Heidelberg (1996) CrossRef Rijmen, V., Daemen, J., Preneel, B., Bosselaers, A., Win, E.D.: The cipher SHARK. In: Gollmann, D. (ed.) FSE 1996. LNCS, vol. 1039, pp. 99–111. Springer, Heidelberg (1996) CrossRef
15.
Zurück zum Zitat NIST: Advanced Encryption Standard (AES). Federal Information Processing Standards 197 (2001) NIST: Advanced Encryption Standard (AES). Federal Information Processing Standards 197 (2001)
16.
Zurück zum Zitat Daemen, J.: Cipher and hash function design strategies based on linear and differential cryptanalysis. Ph.D. thesis (1995) Daemen, J.: Cipher and hash function design strategies based on linear and differential cryptanalysis. Ph.D. thesis (1995)
17.
Zurück zum Zitat Bertoni, G., Daemen, J., Peeters, M., Assche, G.V.: The Keccak reference, version 3.0. NIST SHA3 Submission Document, January 2011 Bertoni, G., Daemen, J., Peeters, M., Assche, G.V.: The Keccak reference, version 3.0. NIST SHA3 Submission Document, January 2011
18.
Zurück zum Zitat Saarinen, M.-J.O.: Cryptographic analysis of all \(4 \times 4\)-bit S-boxes. In: Miri, A., Vaudenay, S. (eds.) SAC 2011. LNCS, vol. 7118, pp. 118–133. Springer, Heidelberg (2012) CrossRef Saarinen, M.-J.O.: Cryptographic analysis of all \(4 \times 4\)-bit S-boxes. In: Miri, A., Vaudenay, S. (eds.) SAC 2011. LNCS, vol. 7118, pp. 118–133. Springer, Heidelberg (2012) CrossRef
19.
20.
Zurück zum Zitat Sutner, K.: The Ehrenfeucht-Mycielski sequence. In: Ibarra, O.H., Dang, Z. (eds.) CIAA 2003. LNCS, vol. 2759, pp. 282–293. Springer, Heidelberg (2003) CrossRef Sutner, K.: The Ehrenfeucht-Mycielski sequence. In: Ibarra, O.H., Dang, Z. (eds.) CIAA 2003. LNCS, vol. 2759, pp. 282–293. Springer, Heidelberg (2003) CrossRef
Metadaten
Titel
Related-Key Attacks Against Full Hummingbird-2
verfasst von
Markku-Juhani O. Saarinen
Copyright-Jahr
2014
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-43933-3_24

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