Abstract
Integral cryptanalysis is one of the most powerful attacks on symmetric key ciphers. Todo proposed a novel technique named the division property to find efficient integral characteristics. In this paper, we apply this technique to the symmetric key block cipher KASUMI which was developed by modifying MISTY1. It has been used worldwide in the 3-rd generation mobile communication networks. As a result, we found new 4 and 5-round integral characteristics of KASUMI with FL and 6-round characteristics of KASUMI without FL for the first time. We show that 6-round KASUMI with FL is attackable with \(2^{57}\) data complexity and \(2^{58}\) encryptions. The attack of 6-round KASUMI by integral cryptanalysis is the best in terms of time complexity.
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Notes
- 1.
We regard that a complexity for one MFDT look-up equals a complexity for one S-box look-up.
References
3GPP. Specification of the 3GPP confidentiality and integrity algorithms; document 2: KASUMI specification. 3rd Generation Partnership Project Technical Specification 35.202
Biham, E., Shamir, A.: Differential Cryptanalysis of the Data Encryption Standard. Springer-Verlag, Heidelberg (1993)
Biham, E., Dunkelman, O., Keller, N.: A related-key rectangle attack on the full KASUMI. In: Roy, B. (ed.) ASIACRYPT 2005. LNCS, vol. 3788, pp. 443–461. Springer, Heidelberg (2005). doi:10.1007/11593447_24
Daemen, J., Knudsen, L., Rijmen, V.: The block cipher square. In: Biham, E. (ed.) FSE 1997. LNCS, vol. 1267, pp. 149–165. Springer, Heidelberg (1997). doi:10.1007/BFb0052343
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). doi:10.1007/978-3-642-14623-7_21
Jia, K., Li, L., Rechberger, C., Chen, J., Wang, X.: Improved cryptanalysis of the block cipher KASUMI. In: Knudsen, L.R., Wu, H. (eds.) SAC 2012. LNCS, vol. 7707, pp. 222–233. Springer, Heidelberg (2013). doi:10.1007/978-3-642-35999-6_15
Jia, K., Rechberger, C., Wang, X.: Green cryptanalysis: meet-in-the-middle key-recovery for the full KASUMI cipher. International Association for Cryptologic Research (IACR), Cryptology ePrint Archive: Report 2011/466
Knudsen, L., Wagner, D.: Integral cryptanalysis. In: Daemen, J., Rijmen, V. (eds.) FSE 2002. LNCS, vol. 2365, pp. 112–127. Springer, Heidelberg (2002). doi:10.1007/3-540-45661-9_9
Kühn, U.: Cryptanalysis of reduced-round MISTY. In: Pfitzmann, B. (ed.) EUROCRYPT 2001. LNCS, vol. 2045, pp. 325–339. Springer, Heidelberg (2001). doi:10.1007/3-540-44987-6_20
Lucks, S.: The saturation attack — a bait for twofish. In: Matsui, M. (ed.) FSE 2001. LNCS, vol. 2355, pp. 1–15. Springer, Heidelberg (2002). doi:10.1007/3-540-45473-X_1
Matsui, M.: Linear cryptanalysis method for DES cipher. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 386–397. Springer, Heidelberg (1994). doi:10.1007/3-540-48285-7_33
Matsui, M.: New block encryption algorithm MISTY. In: Biham, E. (ed.) FSE 1997. LNCS, vol. 1267, pp. 54–68. Springer, Heidelberg (1997). doi:10.1007/BFb0052334
NIST: Advanced encryption standard (AES). National Institute of Standards and Technology (NIST), Federal Information Processing Standard (FIPS) Publication 197 (2001)
Shimoyama, T., Moriai, S., Kaneko, T., Tsujii, S.: Improving higher order differential attack and its application to Nyberg-Knudesens designed block cipher. IEIEC Trans. Fundam. E82–A(9), 1971–1980 (1999)
Saito, T.: A single-key attack on 6-round KASUMI. International Association for Cryptologic Research (IACR), Cryptology ePrint Archive: Report 2011/584
Sugio, N., Aono, H., Hongo, S., Kaneko, T.: A study on higher order differential attack of KASUMI. IEICE Trans. Fundam. E90–A(1), 14–21 (2007)
Todo, Y.: Structural evaluation by generalized integral property. In: Oswald, E., Fischlin, M. (eds.) EUROCRYPT 2015. LNCS, vol. 9056, pp. 287–314. Springer, Heidelberg (2015). doi:10.1007/978-3-662-46800-5_12
Todo, Y.: Integral cryptanalysis on full MISTY1. International Association for Cryptologic Research (IACR), Cryptology ePrint Archive: Report 2015/682
Yi, W., Chen, S.: Multidimensional zero-correlation linear cryptanalysis of the block cipher KASUMI. J. IET Inf. Secur. 1–7 (2015)
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Sugio, N., Igarashi, Y., Kaneko, T., Higuchi, K. (2017). New Integral Characteristics of KASUMI Derived by Division Property. In: Choi, D., Guilley, S. (eds) Information Security Applications. WISA 2016. Lecture Notes in Computer Science(), vol 10144. Springer, Cham. https://doi.org/10.1007/978-3-319-56549-1_23
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