By Marc Stevens, Arjen Lenstra, Benne de Weger (auth.), Moni Naor (eds.)

ISBN-10: 3540725393

ISBN-13: 9783540725398

Those are the complaints of Eurocrypt 2007, the twenty sixth Annual IACR EurocryptConference. The convention was once backed via the overseas organization forCryptologic examine (IACR; see www.iacr.org), this yr in cooperation withthe study workforce on arithmetic utilized to Cryptography at UPC and theResearch staff on info safeguard at UMA. The Eurocrypt 2007 ProgramCommittee (PC) consisted of 24 contributors whose names are indexed at the nextpage.The computing device selected numerous regulations: 0 workstation papers - no application Committeemember may well publish papers; non-compulsory anonymity - authors might pick out toanonymize their papers or no longer. nameless papers have been handled as ordinary, i.e.,the author’s id used to be now not published to the computer. The submission software program usedwas “Web Submission and evaluation software program” written and maintained through ShaiHalevi. there have been 173 papers submitted to the convention and the computer chose33 of them. each one paper used to be assigned to no less than 3 workstation contributors, who eitherhandled it themselves or assigned it to an exterior referee. After the stories weresubmitted, the committee deliberated either on-line for numerous weeks and finallyin a face-to-face assembly held in Paris. as well as notification of the decisionof the committee, authors obtained stories. Our aim was once to supply meaningfulcomments to authors of all papers (both these chosen for this system andthose no longer selected). The default for any file given to the committee used to be thatit could be to be had to the authors besides.

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Extra info for Advances in Cryptology - EUROCRYPT 2007: 26th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Barcelona, Spain, May 20-24, 2007. Proceedings

Example text

H ˆ ), (M, M )] ≤ α ≤ Pr[CqP ] + k/2v ≤ (qP + qC ) + k . AdvPk [(H 2v (5) ˆ i ’s are not deterWe’re almost done, except that in the above inequality, the H ministic as required by the lemma, but randomized (as the Ri ’s were chosen at 11 12 The reason we give away the full Q is that that M, M will usually leak some information on Q, and the simplest way to deal with this leakage is to simply assume that P knows all those values. ˆ i , i ∈ J as Q contains collisions for Note that we don’t care about collision for H ˆ i ’s.

1. The hash of a word X where |X| is a multiple of n by MDC2E is denoted by MDC2E (X). An adversary is a computationally unbounded but always-halting algorithm A with access to an oracle E ∈ Bloc(n). We can assume (by standard arguments) that A is deterministic. The adversary can make either a “forward” query (Ki , Xi )fwd to its oracle E or a “backward” query (Ki , Yi )bwd . The forward query is answered by Yi = EKi (Xi ) and the backward query is answered by −1 Xi = EK (Yi ). Either way the result of the query is stored in a triple (Xi , Ki , Yi ) i and the query history of AE , denoted Q = Q(AE ), is the tuple (Q1 , .

H and M, M have the property as claimed by the lemma with non-zero probability, and thus H1 , . . , H and M, M with this property exist. ,H (M )] ≥ 2−n and m > n we get Pr[E1 ] ≥ 2−n − 2−m ≥ 2−n−1 . (6) Let qi denote the number of Hi oracle gates in C, note that i=1 qi = qC . 14 As the Hi ’s are all independent random functions, the best A can do is to query it i’th oracle on 2qi distinct inputs (which ones is 13 14 One can’t simply sample a Hi as this would need infinite randomness, but one can use lazy sampling here, this means that Hi (X) is only assigned a (random) value when Hi is actually invoked on input X.

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Advances in Cryptology - EUROCRYPT 2007: 26th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Barcelona, Spain, May 20-24, 2007. Proceedings by Marc Stevens, Arjen Lenstra, Benne de Weger (auth.), Moni Naor (eds.)


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