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Compact Attribute-Based Encryption and Signcryption for General Circuits from Multilinear Maps Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Improved Linear Cryptanalysis of Reduced-Round SIMON-32 and SIMON-48

Authors : Mohamed Ahmed Abdelraheem, Javad Alizadeh, Hoda A. Alkhzaimi, Mohammad Reza Aref, Nasour Bagheri, Praveen Gauravaram

Published in: Progress in Cryptology -- INDOCRYPT 2015

Publisher: Springer International Publishing

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Abstract

In this paper we analyse two variants of SIMON family of light-weight block ciphers against variants of linear cryptanalysis and present the best linear cryptanalytic results on these variants of reduced-round SIMON to date.
We propose a time-memory trade-off method that finds differential/linear trails for any permutation allowing low Hamming weight differential/linear trails. Our method combines low Hamming weight trails found by the correlation matrix representing the target permutation with heavy Hamming weight trails found using a Mixed Integer Programming model representing the target differential/linear trail. Our method enables us to find a 17-round linear approximation for SIMON-48 which is the best current linear approximation for SIMON-48. Using only the correlation matrix method, we are able to find a 14-round linear approximation for SIMON-32 which is also the current best linear approximation for SIMON-32.
The presented linear approximations allow us to mount a 23-round key recovery attack on SIMON-32 and a 24-round Key recovery attack on SIMON-48/96 which are the current best results on SIMON-32 and SIMON-48. In addition we have an attack on 24 rounds of SIMON-32 with marginal complexity.

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previous chapter Linear Cryptanalysis of Reduced-Round SIMECK Variants
next chapter Some Results Using the Matrix Methods on Impossible, Integral and Zero-Correlation Distinguishers for Feistel-Like Ciphers
Appendix
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Literature
1.
Abdelraheem, M.A.: Estimating the probabilities of low-weight differential and linear approximations on PRESENT-like ciphers. In: Kwon, T., Lee, M.-K., Kwon, D. (eds.) ICISC 2012. LNCS, vol. 7839, pp. 368–382. Springer, Heidelberg (2013) CrossRef
2.
Abdelraheem, M.A., Alizadeh, J., AlKhzaimi, H., Aref, M.R., Bagheri, N., Gauravaram, P., Lauridsen, M.M.: Improved Linear Cryptanalysis of Round Reduced SIMON. IACR Cryptology ePrint Archive, 2014:681 (2014)
3.
Abed, F., List, E., Lucks, S., Wenzel, J.: Differential Cryptanalysis of Reduced-Round Simon. IACR Cryptology ePrint Archive 2013:526 (2013)
4.
Abed, F., List, E., Lucks, S., Wenzel, J.: Differential cryptanalysis of round-reduced simon and speck. In: Cid, C., Rechberger, C. (eds.) FSE 2014. LNCS, vol. 8540, pp. 525–545. Springer, Heidelberg (2015)
5.
Alizadeh, J., Alkhzaimi, H.A., Aref, M.R., Bagheri, N., Gauravaram, P., Kumar, A., Lauridsen, M.M., Sanadhya, S.K.: Cryptanalysis of SIMON variants with connections. In: Sadeghi, A.-R., Saxena, N. (eds.) RFIDSec 2014. LNCS, vol. 8651, pp. 90–107. Springer, Heidelberg (2014)
6.
Alizadeh, J., Bagheri, N., Gauravaram, P., Kumar, A., Sanadhya, S.K.: Linear Cryptanalysis of Round Reduced SIMON. IACR Cryptology ePrint Archive 2013:663 (2013)
7.
8.
Aumasson, J.-P., Henzen, L., Meier, W., Naya-Plasencia, M.: Quark: a lightweight hash. In: Mangard, S., Standaert, F.-X. (eds.) CHES 2010. LNCS, vol. 6225, pp. 1–15. Springer, Heidelberg (2010) CrossRef
9.
Beaulieu, R., Shors, D., Smith, J., Treatman-Clark, S., Weeks, B., Wingers, L.: The SIMON and SPECK Families of lightweight block ciphers. IACR Cryptology ePrint Archive 2013, 404 (2013)
10.
Biham, E.: On matsui’s linear cryptanalysis. In: De Santis, A. (ed.) EUROCRYPT 1994. LNCS, vol. 950, pp. 341–355. Springer, Heidelberg (1995) CrossRef
11.
Biryukov, Alex, Roy, Arnab, Velichkov, Vesselin: Differential analysis of block ciphers SIMON and SPECK. 8540, 546–570 (2015)
12.
Bogdanov, A., Knezevic, M., Leander, G., Toz, D., Varici, K., Verbauwhede, I.: SPONGENT: A Lightweight Hash Function. In: Preneel and Takagi [22], pp. 312–325
13.
Bogdanov, A.A., Knudsen, L.R., Leander, G., Paar, C., Poschmann, A., Robshaw, M., 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) CrossRef
14.
Boura, C., Naya-Plasencia, M., Suder, V.: Scrutinizing and improving impossible differential attacks: applications to CLEFIA, Camellia, LBlock and Simon. In: Sarkar, P., Iwata, T. (eds.) ASIACRYPT 2014. LNCS, vol. 8873, pp. 179–199. Springer, Heidelberg (2014)
15.
De Cannière, C., Preneel, B.: Trivium. In: Robshaw and Billet [23], pp. 244–266
16.
Daemen, J., Rijmen, V.: The Design of Rijndael: AES - The Advanced Encryption Standard. Information Security and Cryptography. Springer, Heidelberg (2002) CrossRef
17.
Guo, J., Peyrin, T., Poschmann, A.: The PHOTON Family of Lightweight Hash Functions. In: Rogaway, P. (ed.) CRYPTO 2011. Lecture Notes in Computer Science, vol. 6841, pp. 222–239. Springer, Heidelberg (2011)CrossRef
18.
Guo, J., Peyrin, T., Poschmann, A., Robshaw, M.J.B.: The LED Block Cipher. In: Preneel and Takagi [22], pp. 326–341
19.
Hell, M., Johansson, T., Maximov, A., Meier, W.: The grain family of stream ciphers. In: Robshaw and Billet [23], pp. 179–190
20.
Kölbl, S., Leander, G., Tiessen, T.: Observations on the SIMON Block Cipher Family. In: Gennaro, R., Robshaw, M. (eds.) CRYPTO 2015. LNCS, vol. 9215, pp. 161–185. Springer, Heidelberg (2015)CrossRef
21.
Mouha, N., Wang, Q., Gu, D., Preneel, B.: Differential and Linear Cryptanalysis Using Mixed-Integer Linear Programming. In: Wu, C.-K., Yung, M., Lin, D. (eds.) Inscrypt 2011. LNCS, vol. 7537, pp. 57–76. Springer, Heidelberg (2012) CrossRef
22.
23.
Robshaw, M.J.B., Billet, O. (eds.): New Stream Cipher Designs - The eSTREAM Finalists. LNCS, vol. 4986. Springer, Heidelberg (2008) MATH
24.
Shi, D., Lei, H., Sun, S. Song, L., Qiao, K., Ma, X.: Improved Linear (hull) Cryptanalysis of Round-reduced Versions of SIMON. IACR Cryptology ePrint Archive 2014: 973 (2014)
25.
Sun, S., Lei, H., Wang, M., Wang, P., Qiao, K., Ma, X., Shi, D., Song, L., Kai, F.: Towards Finding the Best Characteristics of Some Bit-oriented Block Ciphers and Automatic Enumeration of (Related-key) Differential and Linear Characteristics with Predefined Properties. IACR Cryptology ePrint Archive 2014: 747 (2014)
26.
Sun, S., Hu, L., Wang, P., Qiao, K., Ma, X., Song, L.: Automatic security evaluation and (Related-key) differential characteristic search: application to SIMON, PRESENT, LBlock, DES(L) and other bit-oriented block ciphers. In: Sarkar, P., Iwata, T. (eds.) ASIACRYPT 2014. LNCS, vol. 8873, pp. 158–178. Springer, Heidelberg (2014)
27.
Wang, N., Wang, X., Jia, K., Zhao, J.: Differential Attacks on Reduced SIMON Versions with Dynamic Key-guessing Techniques. IACR Cryptology ePrint Archive 2014: 448 (2014)
28.
Wang, N., Wang, X., Jia, K., Zhao, J.: Improved Differential Attacks on Reduced SIMON Versions. IACR Cryptology ePrint Archive 2014: 448 (2014)
29.
Wang, Qingju, Liu, Zhiqiang, Kerem Varici, Yu., Sasaki, Vincent Rijmen, Todo, Yosuke: Cryptanalysis of Reduced-Round SIMON32 and SIMON48. In: Meier, Willi, Mukhopadhyay, Debdeep (eds.) INDOCRYPT 2014. Lecture Notes in Computer Science, vol. 8885, pp. 143–160. Springer, Heidelberg (2014)
30.
Yang, G., Zhu, B., Suder, V., Aagaard, M.D., Gong, G.: The simeck family of lightweight block ciphers. In: Güneysu, T., Handschuh, H. (eds.) CHES 2015. LNCS, vol. 9293, pp. 307–329. Springer, Heidelberg (2015) CrossRef
Metadata
Title
Improved Linear Cryptanalysis of Reduced-Round SIMON-32 and SIMON-48
Authors
Mohamed Ahmed Abdelraheem
Javad Alizadeh
Hoda A. Alkhzaimi
Mohammad Reza Aref
Nasour Bagheri
Praveen Gauravaram
Copyright Year
2015
Book
Progress in Cryptology -- INDOCRYPT 2015

Print ISBN: 978-3-319-26616-9

Electronic ISBN: 978-3-319-26617-6

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-26617-6_9

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