By Alex Biryukov, Dmitry Khovratovich (auth.), Mitsuru Matsui (eds.)
This publication constitutes the refereed complaints of the fifteenth foreign convention at the thought and alertness of Cryptology and knowledge protection, ASIACRYPT 2009, held in Tokyo, Japan, in December 2009.
The forty-one revised complete papers offered have been rigorously reviewed and chosen from 298 submissions. The papers are prepared in topical sections on block ciphers, quantum and post-quantum, hash services I, encryption schemes, multi get together computation, cryptographic protocols, hash funtions II, versions and frameworks I, cryptoanalysis: sq. and quadratic, versions and framework II, hash services III, lattice-based, and aspect channels.
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Additional info for Advances in Cryptology – ASIACRYPT 2009: 15th International Conference on the Theory and Application of Cryptology and Information Security, Tokyo, Japan, December 6-10, 2009. Proceedings
Harturg-Gorre Verlag, Konstanz (1992) 22. : A Proposal for a New Block Encryption Standard. B. ) EUROCRYPT 1990. LNCS, vol. 473, pp. 389–404. Springer, Heidelberg (1991) 23. : Linear Cryptoanalysis Method for DES Cipher. In: Helleseth, T. ) EUROCRYPT 1993. LNCS, vol. 765, pp. 386–397. Springer, Heidelberg (1994) 24. : On the Security of the IDEA Block Cipher. In: Helleseth, T. ) EUROCRYPT 1993. LNCS, vol. 765, pp. 371–385. Springer, Heidelberg (1994) 25. : Cryptanalysis of IDEA-X/2. In: Johansson, T.
Figure 3 plots the number of encryptions used and expected time complexity for all the individual attacks. 1 with 99% success probability if the attack chooses n and β for each key-dependent set and determines the order of performing individual attacks as shown above. The number of pairs needed in one test is about 219 in the worst case. The attack uses a set of 221 plaintexts, which can provide 220 plaintext pairs satisfying the conditions in Proposition 1 for each key-dependent subset. The attack is summarized as follows: 1.
Many papers have discussed attacking on IDEA using this relation, such as [1,5,6,13,16,18]. The relation can be written in following form (LSB denotes the least signiﬁcant bit) The Key-Dependent Attack on Block Ciphers 27 LSB(C2 ⊕ C3 ) =LSB(P2 ⊕ P3 ⊕ Z21 ⊕ Z31 ⊕ s1 ⊕ Z22 ⊕ Z32 ⊕ s2 ⊕ Z23 ⊕ Z33 ⊕ s3 ⊕ Z24 ⊕ Z34 ⊕ s4 ⊕ Z25 ⊕ Z35 ⊕ s5 ⊕ Z26 ⊕ Z36 ⊕ s6 ⊕ Z27 ⊕ Z37 ⊕ s7 ⊕ Z28 ⊕ Z38 ⊕ s8 (3) ⊕ Z29 ⊕ Z39 ) It is shown in  that, for two pairs of plaintext and ciphertext (P, C) and (P , C ), XOR their corresponding Biryukov-Demirci relation, we will obtain from Equation (3) LSB(C2 ⊕ C3 ⊕ C2 ⊕ C3 ) =LSB(P2 ⊕ P3 ⊕ P2 ⊕ P3 ⊕ Δs1 ⊕ Δs2 ⊕ Δs3 ⊕ Δs4 ⊕ Δs5 ⊕ Δs6 ⊕ Δs7 ⊕ Δs8 ) (4) We call Equation (4) Biryukov-Demirci Equation.