By Mitsuri Matsui
This booklet constitutes the refereed complaints of the fifteenth overseas convention at the conception and alertness of Cryptology and data safety, 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 equipped in topical sections on block ciphers, quantum and post-quantum, hash services I, encryption schemes, multi occasion computation, cryptographic protocols, hash funtions II, types 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, ... Computer Science / Security and Cryptology)
They formulate as an interesting open problem to determine whether the security improves with the length of the cascade also for lengths l > 3. However, the proof in  contains a few bugs, which we describe in the appendix of this paper. The ﬁrst part of our contribution is to ﬁx these errors and to reestablish the lower bound on the security of triple encryption up to a constant factor. Second, we have rephrased the proof into the random systems framework introduced in . Our goal here is to simplify the proof and express it on the most abstract level possible, thus making the main line of reasoning easy to follow and clearly separated from the two technical arguments required.
The Key-Dependent Attack on Block Ciphers 23 The time complexity of the key-dependent attack is determined by the time complexity of each individual attack and the order of performing these individual attacks. For a key-dependent subset (P, U ), the time needed for individual attacks relies on the entropy of P : the closer P is to the random distribution, the more diﬃcult the attack is—to ensure the same probability of making the right judgement, the attack needs more encryptions. This indicates that individual attacks for diﬀerent key-dependent subsets have diﬀerent time complexities.
2. The key-dependent distribution of P rob(LSB(∆s) = 1) on the value of Z5i If (pi ∗ Z5i ) + (8000x ∗ Z5i ) is smaller than 216 + 1, then LSB(s i ) = LSB(si ) ⊕ LSB(8000x ∗ Z5i ) holds because of the equivalence of XOR and modular addition for the least signiﬁcant bit. Moreover, LSB(∆si ) = LSB(8000x ∗ Z5i ) is satisﬁed, which means LSB(∆si ) = LSB(8000x Z5i ) Otherwise, LSB(s i ) is equal to LSB(si ) ⊕ LSB(8000x ∗ Z5i ) ⊕ 1 because of the carry. So LSB(∆si ) equals to LSB(8000x Z5i ) ⊕ 1. Therefore, we may conclude that LSB(∆si ) = LSB(8000x Z5i ) if and only if the pair (pi , p i ) satisﬁes (w ∗ Z5i ) + (8000x ∗ Z5i ) < 216 + 1, where w is either pi or p i , whichever between 1 and 8000x.
Advances in Cryptology - ASIACRYPT 2009: 15th International Conference on the Theory and Application of Cryptology and Information Security, Tokyo, Japan, ... Computer Science / Security and Cryptology) by Mitsuri Matsui