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Advances in Cryptology - EUROCRYPT 2007: 26th Annual - download pdf or read online

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

ISBN-10: 3540725393

ISBN-13: 9783540725398

Those are the court cases of Eurocrypt 2007, the twenty sixth Annual IACR EurocryptConference. The convention used to be subsidized by way of the overseas organization forCryptologic study (IACR; see www.iacr.org), this yr in cooperation withthe examine staff on arithmetic utilized to Cryptography at UPC and theResearch workforce on details safeguard at UMA. The Eurocrypt 2007 ProgramCommittee (PC) consisted of 24 participants whose names are indexed at the nextpage.The computer selected numerous regulations: 0 workstation papers - no application Committeemember may put up papers; non-compulsory anonymity - authors may possibly select toanonymize their papers or now not. nameless papers have been handled as traditional, i.e.,the author’s id used to be no longer published to the computer. The submission software program usedwas “Web Submission and overview software program” written and maintained through ShaiHalevi. there have been 173 papers submitted to the convention and the computer chose33 of them. every one paper was once assigned to a minimum of 3 laptop participants, who eitherhandled it themselves or assigned it to an exterior referee. After the studies 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 experiences. Our target was once to supply meaningfulcomments to authors of all papers (both these chosen for this system andthose now not selected). The default for any file given to the committee used to be thatit will be on hand to the authors besides.

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Additional 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

Sample text

Though the two functions converge 128 asymptotically there does not seem to be any good closed form relating our bound on AdvMDC2 (q) to the function q 5 /23n . n 4 Analysis Overview. Rather than analyzing the probability that the queries Q made by the adversary contain the means of constructing a collision we simplify the problem by analyzing the probability that the queries Q contain the means of constructing the last two rounds of a collision. P. Steinberger MDC-2 hash of X1 X2 using the incoming keys K0 , K1 (rather than A1 , B1 ) equals the MDC-2 hash of X1 X2 using the incoming keys K0 , K1 , and such that Q contains all the queries necessary to make both hashes.

28 K. ,H (M ) → H1 (M ) . . ,H −k+1 (M ) (M, M ) → (M, . . , M ), (M , . . ,H is a collision for Hi for i = 1, . . , − k + 1, AdvPk [(H1 , . . , H ), (M, M )] = 1. ,H must be secure. The output length of C is n = v( − t + 1), by the following theorem this cannot be significantly improved. Theorem 1. Let (C, P ) be a (k, )-robust combiner, where C : {0, 1}m → {0, 1}n has qC oracle gates and P makes at most qP oracle calls. Suppose that n < (v − 2 log(2qC ))( − k + 1) − − 1 Then there exist M, M ∈ {0, 1} i = 1, .

In its simplest form the problem is the following: given two hash-functions H1 , H2 : {0, 1}∗ → {0, 1}v , can we construct a new hash-function which is collision-resistant if either H1 or H2 is? The answer is that of course we can, just concatenate the outputs: H(X) = H1 (X) H2 (X). 1 2 (1) Supported by DIAMANT, the Dutch national mathematics cluster for discrete interactive and algorithmic algebra and number theory. This work was partially done while the author was a postdoc at the Ecole Normale Sup´erieure, Paris.

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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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