Abstract
This paper improves previous distinguishers and key recovery attacks against Deoxys-BC that is a core primitive of the authenticated encryption scheme Deoxys, which is one of the remaining candidates in CAESAR. We observe that previous attacks by Cid et al. published from ToSC 2017 have a lot of room to be improved. By carefully optimizing attack procedures, we reduce the complexities of 8- and 9-round related-tweakey boomerang distinguishers against Deoxys-BC-256 to \(2^{28}\) and \(2^{98}\), respectively, whereas the previous attacks require \(2^{74}\) and \(2^{124}\), respectively. The distinguishers are then extended to 9-round and 10-round boomerang key-recovery attacks with a complexity \(2^{112}\) and \(2^{170}\), respectively, while the previous rectangle attacks require \(2^{118}\) and \(2^{204}\), respectively. The optimization techniques used in this paper are conceptually not new, yet we believe that it is important to know how much the attacks are optimized by considering the details of the design.
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References
Beierle, C., et al.: The SKINNY family of block ciphers and its low-latency variant MANTIS. In: Robshaw, M., Katz, J. (eds.) CRYPTO 2016. LNCS, vol. 9815, pp. 123–153. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-53008-5_5
Bernstein, D.: CAESAR competition (2013). http://competitions.cr.yp.to/caesar.html
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). https://doi.org/10.1007/3-540-44987-6_21
Biham, E., Dunkelman, O., Keller, N.: New results on boomerang and rectangle attacks. In: Daemen, J., Rijmen, V. (eds.) FSE 2002. LNCS, vol. 2365, pp. 1–16. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-45661-9_1
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). https://doi.org/10.1007/11426639_30
Biryukov, A., Khovratovich, D.: Related-key cryptanalysis of the full AES-192 and AES-256. In: Matsui, M. (ed.) ASIACRYPT 2009. LNCS, vol. 5912, pp. 1–18. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-10366-7_1
Cid, C., Huang, T., Peyrin, T., Sasaki, Y., Song, L.: A security analysis of deoxys and its internal tweakable block ciphers. IACR Trans. Symmetric Cryptol. 2017(3), 73–107 (2017)
Dunkelman, O., Keller, N., Shamir, A.: A practical-time related-key attack on the KASUMI cryptosystem used in GSM and 3G telephony. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 393–410. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-14623-7_21
Dunkelman, O., Keller, N., Shamir, A.: A practical-time related-key attack on the KASUMI cryptosystem used in GSM and 3G telephony. J. Cryptol. 27(4), 824–849 (2014)
Jean, J., Nikolić, I., Peyrin, T.: Tweaks and keys for block ciphers: the TWEAKEY framework. In: Sarkar, P., Iwata, T. (eds.) ASIACRYPT 2014. LNCS, vol. 8874, pp. 274–288. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-662-45608-8_15
Jean, J., Nikolić, I., Peyrin, T., Seurin, Y.: Deoxys v1.41. Submitted to CAESAR, October 2016
Kelsey, J., Kohno, T., Schneier, B.: Amplified boomerang attacks against reduced-round MARS and Serpent. In: Goos, G., Hartmanis, J., van Leeuwen, J., Schneier, B. (eds.) FSE 2000. LNCS, vol. 1978, pp. 75–93. Springer, Heidelberg (2001). https://doi.org/10.1007/3-540-44706-7_6
Liskov, M., Rivest, R.L., Wagner, D.: Tweakable block ciphers. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 31–46. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-45708-9_3
Liu, G., Ghosh, M., Ling, S.: Security analysis of SKINNY under related-tweakey settings (long paper). IACR Trans. Symmetric Cryptol. 2017(3), 37–72 (2017). https://doi.org/10.13154/tosc.v2017.i3.37-72
McGrew, D.A., Viega, J.: The security and performance of the Galois/Counter Mode (GCM) of operation. In: Canteaut, A., Viswanathan, K. (eds.) INDOCRYPT 2004. LNCS, vol. 3348, pp. 343–355. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-30556-9_27
Mehrdad, A., Moazami, F., Soleimany, H.: Impossible differential cryptanalysis on Deoxys-BC-256. Cryptology ePrint Archive, Report 2018/048 (2018). https://eprint.iacr.org/2018/048
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). https://doi.org/10.1007/978-3-642-34704-7_5
Murphy, S.: The return of the cryptographic boomerang. IEEE Trans. Inf. Theory 57(4), 2517–2521 (2011). https://doi.org/10.1109/TIT.2011.2111091
National Institute of Standards and Technology: Federal Information Processing Standards Publication 197: Advanced Encryption Standard (AES). NIST, November 2001
Wagner, D.: The boomerang attack. In: Knudsen, L. (ed.) FSE 1999. LNCS, vol. 1636, pp. 156–170. Springer, Heidelberg (1999). https://doi.org/10.1007/3-540-48519-8_12
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Sasaki, Y. (2018). Improved Related-Tweakey Boomerang Attacks on Deoxys-BC. In: Joux, A., Nitaj, A., Rachidi, T. (eds) Progress in Cryptology – AFRICACRYPT 2018. AFRICACRYPT 2018. Lecture Notes in Computer Science(), vol 10831. Springer, Cham. https://doi.org/10.1007/978-3-319-89339-6_6
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