Abstract
MISTY is a data encryption algorithm recently proposed by M. Matsui from Mitsubishi Electric Corporation. This paper focuses on cryptographic roles of the transform used in the MISTY cipher. Our research reveals that when used for constructing pseudorandom permutations, the transform employed by the MISTY cipher is inferior to the transform in DES, though the former is superior to the latter in terms of strength against linear and differential attacks. More specifically, we show that a 3-round (4-round, respectively) concatenation of transforms used in the MISTY cipher is not a pseudorandom (super pseudorandom, respectively) permutation. For comparison, we note that with three (four, respectively) rounds, transforms used in DES yield a pseudorandom (super pseudorandom, respectively) permutation.
Another contribution of this paper is to show that a 3-round concatenation of transforms used in (the preliminary version of) the MISTY cipher has an algebraic property, which may open a door for various cryptanalytic attacks.
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References
Aoki, K. and Ohta, K., ”Stricter evaluation for the maximum average of differential probability and the maximum average of linear probability”, Proc. of the 1996 SCIS'96, Japan (1996).
Biham, E. and Shamir, A., ”Differential cryptanalysis of the Data Encryption Standard”, Springer-Verlag, New York, (1993).
Bellare, M., Guérin, R., and Rogaway, P., “XOR MACs: New methods for message authentication using finite pseudorandom functions”, in Advances in Cryptology — Crypto'95, Lecture Notes in Computer Science 963, pp.14–28, Springer-Verlag, Berlin (1995).
Bellare, M., Kilian, J., and Rogaway, P., “The security of cipher block chaining”, in Advances in Cryptology — Crypto'94, Lecture Notes in Computer Science 839, pp. 341–358, Springer-Verlag, Berlin (1994).
Bellare, M. and Rogaway, P., “Entity authentication and key distribution”, in Advances in Cryptology — Crypto'93, Lecture Notes in Computer Science 773, pp.232–249, Springer-Verlag, Berlin (1994).
Bellare, M. and Rogaway, P., “Optimal Asymmetric Encryption”, in Advances in Cryptology — EUROCRYPT'94, Lecture Notes in Computer Science 950, pp.92–111, Springer-Verlag, Berlin (1995).
Bellare, M. and Rogaway, P., “Provably secure session key distribution — The three party case”, Proc. of STOC'95.
H. Feistel: “Cryptography and computer privacy”, in Scientific American, Vol.228, pp.15–23 (1973).
H. Feistel, W.A. Notz and J.L. Smith: “Some cryptographic techniques for machine-to-machine data communications”, in Proceedings of IEEE, Vol.63, No. 11, pp.1545–1554 (1975).
Goldreich, O., Goldwasser, S., and Micali, S., “How to construct random functions”, in JACM, Vol.33, No.4, pp.792–807 (1986).
Knudsen, L., “Truncated and higher order differentials”, Proc. of 2nd Fast Software Encryption, LNCS 1008, pp.197–211, Springer-Verlag, Berlin (1995).
Lai, X., “Higher order derivatives and differential cryptanalysis”, Proc. of Comm. Coding and Cryptography, (Feb.1994).
Luby, M. and C. Rackoff, “How to construct pseudorandom permutations from pseudorandom functions”, STOC'86 (also in SIAM-COMP.1988).
Matsui, M., “Linear cryptanalysis method for DES cipher”, in Advances in Cryptology — EUROCRYPT'93, LNCS 756, pp.386–397, Springer-Verlag, Berlin (1994).
Matsui, M., “On provably security of block ciphers against differential and linear cryptanalysis”, Proc. of SITA'95 (1995).
Matsui, M., “New structure of block cipher with provable security against differential and linear cryptanalysis”, in 3rd Fast Software Encryption, Cambridge, U.K., Lecture Notes in Computer Science 1039, pp.205–218, Springer-Verlag, Berlin (1996).
National Bureau of Standards, NBS FIPS PUB 46, ”Data Encryption Standard”, U.S.Department of Commerce (Jan. 1977).
Nyberg, K. and Knudsen, L.R., “Provable security against a differential attacks”, J. Cryptology, Vol.8, pp.27–37 (1995).
Nyberg, K. “Differentially uniform mappings for cryptography”, in Advances in Cryptology — EUROCRYPT'93, LNCS 765, pp.55–64, Springer-Verlag, Berlin (1994).
Nyberg, K. “Linear approximation of block ciphers”, in Advances in Cryptology — EUROCRYPT'94, Lecture Notes in Computer Science 950, pp.439–444, Springer-Verlag, Berlin (1995).
Ohnishi, Y. “A study on data security”, Master Thesis (in Japanese), Tohoku University, Japan (March, 1988).
Pieprzyk, J. “How to construct pseudorandom permutations from single pseudorandom functions”, in Advances in Cryptology — EUROCRYPT'90, Lecture Notes in Computer Science 473, pp.140–150, Springer-Verlag, Berlin (1995).
Schneier, B. “Applied Cryptography (2nd Edition)”, John Wiley & Sons, Inc., (1995).
Sadeghiyan, B., and Pieprzyk, J. “A construction for pseudorandom permutations from a single pseudorandom function”, in Advances in Cryptology — EUROCRYPT'92, Lecture Notes in Computer Science 658, pp.267–284, Springer-Verlag, Berlin (1995).
Zheng, Y., Matsumoto, T. and Imai, H. “Impossibility and optimality results on constructing pseudorandom permutations”, in Advances in Cryptology — EUROCRYPT'89, Lecture Notes in Computer Science 434, pp.412–422, Springer-Verlag, Berlin (1990).
Zheng, Y., Matsumoto, T. and Imai, H. “On the construction of block ciphers provably secure and not relying on any unproven hypotheses”, in Advances in Cryptology — CRYPTO'89, Lecture Notes in Computer Science 435, pp.461–480, Springer-Verlag, Berlin (1990).
Zheng, Y. “Principles for designing secure block ciphers and one-way hash functions”, Ph.D Thesis, Yokohama National University, Japan (Dec. 1990).
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Sakurai, K., Zheng, Y. (1996). Cryptographic weaknesses in the round transformation used in a block cipher with provable immunity against linear cryptanalysis. In: Asano, T., Igarashi, Y., Nagamochi, H., Miyano, S., Suri, S. (eds) Algorithms and Computation. ISAAC 1996. Lecture Notes in Computer Science, vol 1178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0009514
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DOI: https://doi.org/10.1007/BFb0009514
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