Read e-book online Advances in Cryptology - CRYPTO 2007: 27th Annual PDF

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

ISBN-10: 3540741429

ISBN-13: 9783540741428

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 give their findings and speak about the newest advancements within the box. This e-book constitutes the refereed court cases of the conference.

Thirty-three complete papers are awarded in addition to one vital 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 big contribution to the field.

The papers tackle present foundational, theoretical, and learn facets of cryptology, cryptography, and cryptanalysis. moreover, readers will detect many complex and rising applications.

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Read or Download Advances in Cryptology - CRYPTO 2007: 27th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 19-23, 2007. Proceedings PDF

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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

Sample text

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 . 2 IV-Recovery Attacks The previous subsection suggests the following scenario. Assume that a fixed key k is secret, but that one is given access to an oracle which on input M1 and M2 , answers whether Hk (M1 ) = Hk (M2 ) holds or not.

We recall the minimal definition of private search algorithms from [1]. All our definitions will be stronger – an algorithm that satisfies Definition 7 or Definition 13 trivially satisfies Definition 3. Definition 3 (Private Search Algorithms [1]). A probabilistic polynomial time algorithm AP is a private search algorithm for P if (i) AP (x) ∈ Pn (x) for all x ∈ {0, 1}n , n ∈ N; and (ii) for every polynomial-time algorithm D and for every positive polynomial q(·), there exists some n0 ∈ N such that for every x, y ∈ {0, 1}∗ such that x ≡P y and |x| = |y| ≥ n0 Pr[D(AP (x), x, y) = 1] − Pr[D(AP (y), x, y) = 1] ≤ 1 .

If so, we have what we call an IV-recovery attack. An IV-recovery attack would clearly reveal the second key k2 of NMAC, because of (C2). But it is not clear why this would be relevant to recover the outer key k1 . To recover k1 thanks to (C1), we would need the following variant of the problem. Namely, one would like to retrieve a secret key k1 when given access to an oracle which on input M1 and M2 , answers whether Hk1 (Hk2 (M1 )) = Hk1 (Hk2 (M2 )) holds or not, where k2 is known. Since the messages are first processed through a hash function, the attacker no longer chooses the input messages of the keyed hash function, and this oracle is much harder to exploit than the previous one.

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Advances in Cryptology - CRYPTO 2007: 27th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 19-23, 2007. Proceedings by Vivien Dubois, Pierre-Alain Fouque, Adi Shamir, Jacques Stern (auth.), Alfred Menezes (eds.)


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