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
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  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 . 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.