Download Advances in Cryptology - CRYPTO 2007: 27th Annual by Vivien Dubois, Pierre-Alain Fouque, Adi Shamir, Jacques PDF

By Vivien Dubois, Pierre-Alain Fouque, Adi Shamir, Jacques Stern (auth.), Alfred Menezes (eds.)

The twenty seventh Annual overseas Cryptology convention used to be held in Santa Barbara, California, in August 2007. The convention drew researchers from worldwide who got here to offer their findings and talk about the newest advancements within the box. This booklet constitutes the refereed court cases of the conference.

Thirty-three complete papers are offered in addition to one very important invited lecture. every one has been rigorously reviewed by way of the editor to make sure that all papers are actual, effortless to learn, and make a huge contribution to the field.

The papers handle present foundational, theoretical, and learn elements of cryptology, cryptography, and cryptanalysis. additionally, readers will become aware of many complex and rising applications.

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Additional info for Advances in Cryptology - CRYPTO 2007: 27th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 19-23, 2007. Proceedings

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Q. Nguyen We ran a differential path search algorithm to find such paths, and we did [k s ] [k s ] find 22 paths for different values of k with Q−1 0 = Q−2 0 . The path for k = 0 is given in Appendix B, and the other paths are just a rotation of this one. The corresponding set of sufficient conditions contains 79 conditions on the internal variables Qi , so we expect that for a random message M : Pr [MD4(M ) = MD4(M + Δ)] = p ≥ 2−79 p [k s0 ] = Q−2 [k s0 ] = Q−2 if Q−1 if Q−1 [k s0 ] [k s0 ] If we try 282 message pairs per path, we will find a collision for every path whose condition is fulfilled with a probability3 of more than 99%.

We present the first type of IV-recovery attacks. Assume that we know a specific differential path corresponding to a message difference Δ and with total probability p much larger than 2−128 . In other words, a randomly chosen message M will satisfy with probability p: Hk (M ) = Hk (M Δ). By making approximately 2/p queries to the Hk -oracle, we will obtain a message M such that Hk (M ) = Hk (M Δ). Contini and Yin [4] then make the heuristic assumption that the pair (M, M Δ) must follow the whole differential path, and not just the first and last steps.

Otherwise, the pair (M ∗ , M ∗ Δ) will drift away from the path at some position, and the probability of Hk (M ∗ ) = Hk (M ∗ Δ) is heuristically 2−128 . Thus, by sending to the oracle many well-chosen pairs (M , M Δ), one can learn many bits of several internal register Qi ’s during the computation of Hk (M ). Applying exhaustive search on the remaining bits of such Qi ’s, one can guess the whole contents of four consecutive Qi ’s. By definition of cMD4 and cMD5, it is then possible to reverse the computation of Hk (M ), which discloses k = (Q−4 , Q−3 , Q−2 , Q−1 ).

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