Abstract
The Advanced Encryption Standard is more than five years old. Since standardisation there have been few cryptanalytic advances despite the efforts of many researchers. The most promising new approach to AES cryptanalysis remains speculative, while the most effective attack against reduced-round versions is older than the AES itself. Here we summarise this state of affairs.
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References
AES web site of ECRYPT: http://www.iaik.tu-graz.ac.at/research/krypto/AES/
Mystery Twister web site: http://www.mystery-twister.com
Barkan, E., Biham, E.: In how many ways can you write Rijndael? In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 160–175. Springer, Berlin (2002)
Biham, E., Shamir, A.: Differential Cryptanalysis of the Data Encryption Standard. Springer, Heidelberg (1993)
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)
Cid, C., Murphy, S., Robshaw, M.: Small Scale Variants of the AES. In: Gilbert, H., Handschuh, H. (eds.) FSE 2005. LNCS, vol. 3557, pp. 145–162. Springer, Heidelberg (2005), to appear; see, http://www.isg.rhul.ac.uk/~ccid/publications.htm
Cheon, J.H., Kim, M., Kim, K., Lee, J.-Y., Kang, S.: Improved impossible differential cryptanalysis of Rijndaeland Crypton. In: Kim, K.-c. (ed.) ICISC 2001. LNCS, vol. 2288, pp. 39–49. Springer, Heidelberg (2002)
Chun, K., Kim, S., Lee, S., Sung, S., Yoon, S.: Differential and linear cryptanalysis for 2-round SPNs. Information Processing Letters 87, 277–282 (2003)
Courtois, N.: Is AES a secure cipher?, http://www.cryptosystem.net/aes/
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)
Daemen, J., Rijmen, V.: AES Proposal: Rijndael. Version 2.0, available via, http://www.crsc.nist.gov
Daemen, J., Rijmen, V.: Answers to “New Observations on Rijndael”. Archived via, http://www.crsc.nist.gov
Daemen, J., Rijmen, V.: The Design of Rijndael. In: AES - The Advanced Encryption Standard. Springer, Berlin (2002)
Diem, C.: The XL-algorithm and a conjecture from commutative Algebra. In: Lee, P.J. (ed.) ASIACRYPT 2004. LNCS, vol. 3329, pp. 323–337. Springer, Heidelberg (2004)
Ferguson, N., Kelsey, J., Schneier, B., Stay, M., Wagner, D., Whiting, D.: Improved cryptanalysis of Rijndael. In: Schneier, B. (ed.) FSE 2000. LNCS, vol. 1978, pp. 213–230. Springer, Heidelberg (2001)
Ferguson, N., Shroeppel, R., Whiting, D.: A simple algebraic representation of the AES. In: Vaudenay, S., Youssef, A.M. (eds.) SAC 2001. LNCS, vol. 2259, pp. 103–111. Springer, Heidelberg (2001)
Gilbert, H., Minier, M.: A collision attack on 7 rounds of Rijndael. In: 3rd Advanced Encryption Standard Candidate Conference, April 2000, pp. 230–241. National Institute of Standards and Technology (2000)
Hong, S., Lee, S., Lim, J., Sung, J., Cheon, D.: Provable security against differential and linear cryptanalysis for the spn structure. In: Schneier, B. (ed.) FSE 2000. LNCS, vol. 1978, pp. 273–283. Springer, Heidelberg (2001)
Keliher, L.: Refined analysis of bounds related to linear and differential cryptanalysis for the AES. In: Dobbertin, H., Rijmen, V., Sowa, A. (eds.) AES 2005. LNCS, vol. 3373, pp. 42–57. Springer, Heidelberg (2005)
Keliher, L., Meijer, H., Tavares, S.: New method for upper bounding the maximum average linear hull probability for SPNs. In: Pfitzmann, B. (ed.) EUROCRYPT 2001. LNCS, vol. 2045, pp. 420–436. Springer, Heidelberg (2001)
Keliher, L., Meijer, H., Tavares, S.: Improving the upper bound on the maximum average linear hull probability for Rijndael. In: Vaudenay, S., Youssef, A.M. (eds.) SAC 2001. LNCS, vol. 2259, pp. 112–128. Springer, Heidelberg (2001)
Lucks, S.: Attacking seven rounds of Rijndael under 192-bit keys and 256-bit keys. In: Proceedings of the 3rd Advanced Encryption Standard Candidate Conference, National Institute of Standards and Technology, April 2000, pp. 215–229 (2000)
Matsui, M.: The First Experimental Cryptanalysis of the Data Encryption Standard. In: Desmedt, Y. (ed.) CRYPTO 1994. LNCS, vol. 839, pp. 26–39. Springer, Heidelberg (1994)
Minier, M.: A three rounds property of the AES. In: Dobbertin, H., Rijmen, V., Sowa, A. (eds.) AES 2005. LNCS, vol. 3373, pp. 18–29. Springer, Heidelberg (2005)
Murphy, S., Robshaw, M.: New Observations on Rijndael, August 7 (2000), Archived via, http://www.crsc.nist.gov
Murphy, S., Robshaw, M.: Further Comments on the Structure of Rijndael, August 17 (2000), Archived via, http://www.crsc.nist.gov
Murphy, S., Robshaw, M.: Essential algebraic structure within the AES. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 1–16. Springer, Heidelberg (2002)
National Institute of Standards and Technology: Advanced encryption standard, FIPS 46-3, US Department of Commerce, Washington D.C. (October 1999)
National Institute of Standards and Technology: Advanced encryption standard, FIPS 197, US Department of Commerce, Washington D.C. (November 2001)
Park, S., Sung, S.H., Chee, S., Yoon, E.-J., Lim, J.: On the security of Rijndael-like structures against differential and linear cryptanalysis. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 176–191. Springer, Heidelberg (2002)
Park, S., Sung, S.H., Lee, S., Lim, J.: Improving the upper bound on the maximum differential and the maximum linear hull probability for SPN structures and AES. In: Johansson, T. (ed.) FSE 2003. LNCS, vol. 2887, pp. 247–260. Springer, Heidelberg (2003)
Phan, R.C.W.: Classes of impossible differentials of the advanced encryption standard. Electronics Letters 38(11), 508–510 (2002)
Phan, R.C.W.: Impossible differential cryptanalysis of 7-round Advanced Encryption Standard. Information Processing Letters 91, 33–38 (2004)
Phan, R.C.W., Siddiqi, M.U.: Generalised impossible differentials of the Advanced Encryption Standard. Electronics Letters 37(14), 896–898 (2001)
Raddum, H.: More Dual Rijndaels. In: Dobbertin, H., Rijmen, V., Sowa, A. (eds.) AES 2005. LNCS, vol. 3373, pp. 142–147. Springer, Heidelberg (2005)
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Dobbertin, H., Knudsen, L., Robshaw, M. (2005). The Cryptanalysis of the AES – A Brief Survey. In: Dobbertin, H., Rijmen, V., Sowa, A. (eds) Advanced Encryption Standard – AES. AES 2004. Lecture Notes in Computer Science, vol 3373. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11506447_1
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DOI: https://doi.org/10.1007/11506447_1
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