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 foreign Cryptology convention used to be held in Santa Barbara, California, in August 2007. The convention drew researchers from world wide who got here to provide their findings and speak about the most recent advancements within the box. This publication constitutes the refereed lawsuits of the conference.

Thirty-three complete papers are awarded besides one vital invited lecture. each has been rigorously reviewed by way of the editor to make sure that all papers are exact, effortless to learn, and make a tremendous contribution to the field.

The papers tackle present foundational, theoretical, and learn elements of cryptology, cryptography, and cryptanalysis. additionally, readers will realize many complicated 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

Example text

Any differential path using a message difference Δ with non-zero bits outside these 128 first bits will be useless. This means that the partial key-recovery attacks from [4] against MD4, SHA-0 and reduced SHA-1 can’t be extended into a full keyrecovery. Using related keys one can use a differential path with a difference in the IV and no message difference – such as the one from [7] – and try a given message with both keys. However, if we want to get rid of related keys, we need a differential path with no IV difference and a difference in the beginning of the message.

8 k Hence, we have an IV-recovery attack requiring less than 288 queries to the NMAC oracle, and less than 294 offline hash computations. See the full version of this paper for a detailed complexity analysis. B IV-Dependent Differential Path Here is one of the 22 IV-dependent paths we found in MD4. -A. Fouque, G. Q. Nguyen it works on bit positions 0, 1, 3, 4, 6-8, 12-17, 19-24, 26, 27, and 29, and fails on other positions due to carry expansions. This path was found using an automated differential paths search algorithm described in [8].

By the previous reasoning, we expect that such a pair actually satisfies (C2). Thus, the NMAC oracle allows us to detect collisions on Hk2 , if we are able to select messages which have a non-negligible probability of satisfying (C2). To detect collisions in Hk1 , we will use the values of k2 (recovered using collisions in Hk2 ): then, we can compute Hk2 and directly check whether the NMAC collision come from (C1). We now explain how to use such collision detections to recover the secret keys k2 and k1 .

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