The differential meet-in-the-middle attack on FUTURE and CRAFT
Authors: 
Han Lin, Jian Zou, Jiayin LiAuthors Info & Claims
Pages 151 - 158
Abstract
The differential meet-in-the-middle (MITM) attack is a new cryptanalysis technique proposed at Crypto 2023. It has achieved good results in attacking some symmetric encryption algorithms. In this paper, we enhance the differential-meet-in-the-middle attack by utilizing MILP to construct the best differential trail for a distinguisher in the offline phase and optimizing the attack process during the online phase. This optimization leads to a reduction in the time complexity of the attack. We apply the differential meet-in-the-middle attack to 8-round FUTURE with <Formula format="inline"><TexMath><?TeX ${2}^{64}$ ?></TexMath><File name="a00--inline1" type="gif"/></Formula>data,<Formula format="inline"><TexMath><?TeX ${\rm{\ }}{2}^{48}$ ?></TexMath><File name="a00--inline2" type="gif"/></Formula> memory, <Formula format="inline"><TexMath><?TeX ${2}^{124}$ ?></TexMath><File name="a00--inline3" type="gif"/></Formula>time complexity. Besides, our attack to the on 14-round CRAFT with <Formula format="inline"><TexMath><?TeX ${2}^{64}$ ?></TexMath><File name="a00--inline4" type="gif"/></Formula> data,<Formula format="inline"><TexMath><?TeX ${\rm{\ }}{2}^{74}$ ?></TexMath><File name="a00--inline5" type="gif"/></Formula> memory, <Formula format="inline"><TexMath><?TeX ${2}^{104}$ ?></TexMath><File name="a00--inline6" type="gif"/></Formula> time complexity. As far as we know, it is the first key recovery attack to FUTURE.
References
[1]
Kishan Chand Gupta, Sumit Kumar Pandey, and Susanta Samanta. 2022. FUTURE: A Lightweight Block Cipher Using an Optimal Diffusion Matrix. In Progress in Cryptology - AFRICACRYPT 2022: 13th International Conference on Cryptology in Africa, AFRICACRYPT 2022, Fes, Morocco, July 18–20, 2022, Proceedings. Springer-Verlag, Berlin, Heidelberg, 28–52. https://doi.org/10.1007/978-3-031-17433-9_2
[2]
Beierle, C., Leander, G., Moradi, A., Rasoolzadeh, S. 2019. CRAFT: Lightweight Tweakable Block Cipher with Efficient Protection Against DFA Attacks. IACR Trans. Symmetric Cryptol. 2019, 5-45. https://api.semanticscholar.org/75135098
[3]
Biham,E.,Shamir,A.Differential cryptanalysis of DES-like cryptosystems. J. Cryptology 4, 3–72 (1991). https://doi.org/10.1007/BF00630563
[4]
Biham, E., Shamir, A. 1993. Differential Cryptanalysis of the Data Encryption Standard. In: Springer: New York, 1993. https://api.semanticscholar.org/6361693
[5]
W. Diffie and M. E. Hellman. 1977. Special Feature Exhaustive Cryptanalysis of the NBS Data Encryption Standard. Computer 10, 6 (June 1977), 74–84. https://doi.org/10.1109/C-M.1977.217750
[6]
Knellwolf, S., Meier, W., Naya-Plasencia, M. (2010). Conditional Differential Cryptanalysis of NLFSR-Based Cryptosystems. In: Abe, M. (eds) Advances in Cryptology - ASIACRYPT 2010. ASIACRYPT 2010. Lecture Notes in Computer Science, vol 6477. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17373-8_8.
[7]
Boura, C., David, N., Derbez, P., Leander, G., Naya-Plasencia, M. 2023. Differential Meet-In-The-Middle Cryptanalysis. In: Handschuh, H., Lysyanskaya, A. (eds) Advances in Cryptology – CRYPTO 2023. CRYPTO 2023. Lecture Notes in Computer Science, vol 14083. Springer, Cham. https://doi.org/10.1007/978-3-031-38548-3_9
[8]
Dunkelman, O., Sekar, G., Preneel, B. 2007. Improved Meet-in-the-Middle Attacks on Reduced-Round DES. In: Srinathan, K., Rangan, C.P., Yung, M. (eds) Progress in Cryptology – INDOCRYPT 2007. INDOCRYPT 2007. Lecture Notes in Computer Science, vol 4859. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77026-8_8
[9]
Guo, J., Ling, S., Rechberger, C., Wang, H. 2010. Advanced Meet-in-the-Middle Preimage Attacks: First Results on Full Tiger, and Improved Results on MD4 and SHA-2. In: Abe, M. (eds) Advances in Cryptology - ASIACRYPT 2010. ASIACRYPT 2010. Lecture Notes in Computer Science, vol 6477. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17373-8_4
[10]
Mouha, N., Wang, Q., Gu, D., Preneel, B. 2012. Differential and Linear Cryptanalysis Using Mixed-Integer Linear Programming. In: Wu, CK., Yung, M., Lin, D. (eds) Information Security and Cryptology. Inscrypt 2011. Lecture Notes in Computer Science, vol 7537. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34704-7_5
[11]
Sun, S., Hu, L., Wang, P., Qiao, K., Ma, X., Song, L. 2014. 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) Advances in Cryptology – ASIACRYPT 2014. ASIACRYPT 2014. Lecture Notes in Computer Science, vol 8873. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45611-8_9
[12]
Mouha, N., Wang, Q., Gu, D., Preneel, B. 2011. Differential and linear cryptanalysis using mixed-integer linear programming. In Information Security and Cryptology - 7th International Conference, Inscrypt 2011, Beijing, China, November 30 - December 3, 2011. Revised Selected Papers, pages 57–76, 2011.
[13]
Beierle, C., Leander, G., Moradi, A., & Rasoolzadeh, S. (2019). CRAFT: Lightweight Tweakable Block Cipher with Efficient Protection Against DFA Attacks. IACR Trans. Symmetric Cryptol., 2019, 5-45
[14]
Song, L., Yang, Q., Liu, H. 2023. Revisiting the Differential Meet-In-The-Middle Cryptanalysis. IACR Cryptol. ePrint Arch. 2023, 1302.
[15]
Moghaddam, A.E., Ahmadian, Z. 2019. New automatic search method for truncated-differential characteristics: Application to Midori, SKINNY and CRAFT. IACR Cryptol. ePrint Arch. 2019:126, 2019.
[16]
Mouha, N., Wang, Q., Gu, D., Preneel, B. 2011. Differential and linear cryptanalysis using mixed-integer linear programming. In Information Security and Cryptology - 7th International Conference, Inscrypt 2011, Beijing, China, November 30 - December 3, 2011. Revised Selected Papers, pages 57–76, 2011.
[17]
Daemen, J., Knudsen, L.R., Rijmen, V. 1997. The block cipher Square. In: Biham, E. (ed.) FSE '97. Lecture Notes in Computer Science, vol. 1267, pp. 149–165. Springer (1997).
[18]
Demirci, H., Selçuk, A.A.: A meet-in-the-middle attack on 8-round AES. In: Nyberg, K. (ed.) FSE 2008. Lecture Notes in Computer Science, vol. 5086, pp. 116–126. Springer (2008).
[19]
Dunkelman, O., Sekar, G., Preneel, B.: Improved meet-in-the-middle attacks on reduced-round DES. In: Srinathan, K., Rangan, C.P., Yung, M. (eds.) INDOCRYPT 2007. Lecture Notes in Computer Science, vol. 4859, pp. 86–100. Springer (2007).
[20]
Guo, J., Ling, S., Rechberger, C., Wang, H.: Advanced meet-in-the-middle pre-image attacks: First results on full Tiger, and improved results on MD4 and SHA-2. In: Abe, M. (ed.) ASIACRYPT 2010. Lecture Notes in Computer Science, vol. 6477, pp. 56–75. Springer (2010).
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Published In
December 2023
363 pages
ISBN:9798400707964
DOI:10.1145/3638782
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Published: 18 April 2024
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ICCNS 2023
ICCNS 2023: 2023 13th International Conference on Communication and Network Security
December 6 - 8, 2023
Fuzhou, China
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