Download Advances in Cryptology – EUROCRYPT 2005: 24th Annual by Xiaoyun Wang, Xuejia Lai, Dengguo Feng, Hui Chen, Xiuyuan Yu PDF

By Xiaoyun Wang, Xuejia Lai, Dengguo Feng, Hui Chen, Xiuyuan Yu (auth.), Ronald Cramer (eds.)

These are the court cases of the twenty fourth Annual IACR Eurocrypt convention. The convention used to be backed by way of the overseas organization for Cryptologic Research(IACR;seewww.iacr.org),thisyearincooperationwiththeComputer technological know-how division of the college of Aarhus, Denmark. As basic Chair, Ivan Damg? ard used to be liable for neighborhood association. TheEurocrypt2005ProgramCommittee(PC)consistedof30internationally popular specialists. Their names and a?liations are indexed on pages VII and VIII of those court cases. via the November 15, 2004 submission closing date the computer had got a complete of a hundred ninety submissions through the IACR digital Submission Server. the next choice strategy used to be divided into stages, as ordinary. within the evaluation part every one submission was once conscientiously scrutinized by means of not less than 3 autonomous reviewers, and the overview studies, frequently vast, have been dedicated to the IACR net evaluate procedure. those have been taken because the start line for the PC-wideWeb-baseddiscussionphase.Duringthisphase,additionalreportswere supplied as wanted, and the computer ultimately had a few seven hundred stories at its disposal. additionally, the discussions generated greater than 850 messages, all published within the method. in the course of the complete computer section, which began in August 2003 with my earliest invites to notebook individuals and which persisted until eventually March 2005, greater than one thousand electronic mail messages have been communicated. furthermore, the computer got a lot favored the aid of a wide physique of exterior reviewers. Their names are indexed on web page VIII of those proceedings.

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Additional info for Advances in Cryptology – EUROCRYPT 2005: 24th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Aarhus, Denmark, May 22-26, 2005. Proceedings

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For any two messages M and M with l-bit multiples, M = (M0 , M1 , · · · , Mk−1 ), M = (M0 , M1 , · · · , Mk−1 ), a full differential for a hash function is defined as follows: ΔH0 (M0 ,M0 ) −→ ΔH1 (M1 ,M1 ) −→ ΔH2 (M2 ,M2 ) −→ · · · · · · ΔHk−1 (Mk−1 ,Mk−1 ) −→ ΔH, where ΔH0 is the initial value difference which equals to zero. ΔH is the output difference for the two messages. ΔHi = ΔIVi is the output difference for the i-th iteration, and also is the initial difference for the next iteration. It is clear that if ΔH = 0, there is a collision for M and M .

Wang and H. Yu The differential definition in this paper is a kind of precise differential which uses the difference in term of integer modular subtraction. A similar definition about the differential with the integer subtraction as the measure of difference were described in [5] for differential analysis of RC6. We also use modular characteristics, which describe for each round with both the differences in term of integer modular subtraction and the differences in term of XOR. The combination of both kinds of differences give us more information than each of them keep by itself.

All the other paths that use near collisions happen to be dead-ends. In order to remove this obstruction, another key idea is necessary. We should note that in the early rounds of SHA-0, an IF function is used. This means, that during the early rounds, SHA-0 may in some case behave differently than the linearized model of [2]. This misbehavior might allow us to connect differentials which do not belong together in the linearized model of SHA-0. In order to make this idea precise, we first introduce some notations to describe the differences before and after each block.

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