Abstract
In this paper, we present some improved impossible differential attacks on large-block Rijndael whose block sizes are larger than 128 bits. First of all, we present some important observations which help us to significantly improve the impossible differential attacks on large-block Rijndael proposed by Nakahara-Pavão (ISC 2007). Then we introduce some new impossible differentials for large-block Rijndael. Utilizing these longer impossible differential distinguishers, together with the technique of changing the order of MixColumns and AddRoundKey operations proposed by Zhang-Wu-Feng (ICISC 2007), we can apply impossible differential attacks up to 7-round Rijndael-160, 8-round Rijndael-192, and 9-round Rijndael-224/256. As far as we know, except the attack on Rijndael-256, all the other results are the best cryptanalytic results on large-block Rijndael.
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References
National Institute of Standards and Technology. FIPS-197: Advanced Encryption Standard (AES) (November 2001)
Biham, E., Dunkelman, O., Keller, N.: Related-key impossible differential attacks on 8-round AES-192. In: Pointcheval, D. (ed.) CT-RSA 2006. LNCS, vol. 3860, pp. 21–33. Springer, Heidelberg (2006)
Biham, E., Keller, N.: Cryptanalysis of reduced variants of Rijadeal. Official public comment for Round 2 of the AES development effort (2000)
Biryukov, A.: The boomerang attack on 5 and 6 round reduced AES. In: Dobbertin, H., Rijmen, V., Sowa, A. (eds.) AES 2005. LNCS, vol. 3373, pp. 11–15. Springer, Heidelberg (2005)
Cheon, J.H., Kim, M.J., Kim, K., Lee, J.-Y., Kang, S.W.: Improved impossible differential cryptanlaysis of Rijndael and Crypton. In: Kim, K.-c. (ed.) ICISC 2001. LNCS, vol. 2288, pp. 39–49. Springer, Heidelberg (2002)
Daemen, J., Rijmen, V.: AES Proposal: Rijndae. In: 1st AES Conference, California, USA (1998)
Daemen, J., Rijmen, V.: The Design of Rijndael. Springer, Heidelberg (2001)
Demirci, H., Selçuk, A.A.: A meet-in-the-middle attack on 8-round AES. In: Nyberg, K. (ed.) FSE 2008. LNCS, vol. 5086, pp. 116–126. Springer, Heidelberg (2008)
Ferguson, N., Kelsey, J., Lucks, S., Schneier, B., Stay, M., Wager, D., Whiting, D.: Improved cryptanalysis of Rijndael. In: Schneier, B. (ed.) FSE 2000. LNCS, vol. 1978, pp. 213–230. Springer, Heidelberg (2001)
Galice, S., Minier, M.: Improving integral attacks against Rijndael-256 up to 9 rounds. In: Vaudenay, S. (ed.) AFRICACRYPT 2008. LNCS, vol. 5023, pp. 1–15. Springer, Heidelberg (2008)
Gilbert, H., Minier, M.: A collision attack on 7 rounds of Rijndael. In: Proc. of 3rd AES Candidate Conference (2000)
Jakimoski, G., Desmedt, Y.: Related-key differential cryptanalysis of 192-bit key AES variants. In: Matsui, M., Zuccherato, R. (eds.) SAC 2003. LNCS, vol. 3006, pp. 208–221. Springer, Heidelberg (2004)
Jakimoski, G., Subbalakshmi, K.P.: On efficient message authentication via block cipher desing techniques. In: Kurosawa, K. (ed.) ASIACRYPT 2007. LNCS, vol. 4833, pp. 232–248. Springer, Heidelberg (2007)
Kim, J., Hong, S., Preneel, B.: Related-key rectangle attacks on reduced AES-192 and AES-256. In: Biryukov, A. (ed.) FSE 2007. LNCS, vol. 4593, pp. 225–241. Springer, Heidelberg (2007)
Kim, J., Hong, S., Sung, J., Lee, C., Lee, S.: Impossible differential cryptanalysis for block cipher structures. In: Johansson, T., Maitra, S. (eds.) INDOCRYPT 2003. LNCS, vol. 2904, pp. 82–96. Springer, Heidelberg (2003)
Knudsen, L.R., Rechberger, C., Thomsen, S.S.: The Grindahl hash functions. In: Biryukov, A. (ed.) FSE 2007. LNCS, vol. 4593, pp. 39–57. Springer, Heidelberg (2007)
Lu, J., Kim, J., Keller, N., Dunkelman, O.: Improving the efficiency of impossible differential cryptanalysis of reduced Camellia and MISTY1. In: Malkin, T. (ed.) CT-RSA 2008. LNCS, vol. 4964, pp. 370–386. Springer, Heidelberg (2008)
Lucks, S.: Attacking seven rounds of Rijndael under 192-bit and 256-bit keys. In: Proc. of 3rd AES Candidate Conference (2000)
Nakahara Jr., J., de Freitas, D.S., Phan, R.C.-W.: New multiset attacks on Rijndael with large blocks. In: Dawson, E., Vaudenay, S. (eds.) Mycrypt 2005. LNCS, vol. 3715, pp. 277–295. Springer, Heidelberg (2005)
Nakahara Jr., J., Pavão, I.C.: Impossible-differential attacks on large-block Rijndael. In: Garay, J.A., Lenstra, A.K., Mambo, M., Peralta, R. (eds.) ISC 2007. LNCS, vol. 4779, pp. 104–117. Springer, Heidelberg (2007)
Peyrin, T.: Cryptanalysis of Grindahl. In: Kurosawa, K. (ed.) ASIACRYPT 2007. LNCS, vol. 4833, pp. 551–567. Springer, Heidelberg (2007)
Phan, R.C.-W.: Impossible differential cryptanalysis of 7 round Advanced Encryption Standard (AES). Information Processing Letters 91, 33–38 (2004)
Zhang, W., Wu, W., Feng, D.: New result on impossible differential cryptanalysis of reduced AES. In: Nam, K.-H., Rhee, G. (eds.) ICISC 2007. LNCS, vol. 4817, pp. 239–250. Springer, Heidelberg (2007)
Zhang, W., Wu, W., Zhang, L., Feng, D.: Improved related-key impossible differential attacks on reduced-round AES-192. In: Biham, E., Youssef, A.M. (eds.) SAC 2006. LNCS, vol. 4356, pp. 15–27. Springer, Heidelberg (2007)
Zhang, W., Zhang, L., Wu, W., Feng, D.: Related-key differential-linear attacks on reduced AES-192. In: Srinathan, K., Pandu Rangan, C., Yung, M. (eds.) INDOCRYPT 2007. LNCS, vol. 4859, pp. 73–85. Springer, Heidelberg (2007)
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Zhang, L., Wu, W., Park, J.H., Koo, B.W., Yeom, Y. (2008). Improved Impossible Differential Attacks on Large-Block Rijndael. In: Wu, TC., Lei, CL., Rijmen, V., Lee, DT. (eds) Information Security. ISC 2008. Lecture Notes in Computer Science, vol 5222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85886-7_21
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DOI: https://doi.org/10.1007/978-3-540-85886-7_21
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