By Marc Stevens, Arjen Lenstra, Benne de Weger (auth.), Moni Naor (eds.)
Those are the court cases of Eurocrypt 2007, the twenty sixth Annual IACR EurocryptConference. The convention was once backed via the foreign organization forCryptologic study (IACR; see www.iacr.org), this 12 months in cooperation withthe examine team on arithmetic utilized to Cryptography at UPC and theResearch staff on details safeguard at UMA. The Eurocrypt 2007 ProgramCommittee (PC) consisted of 24 participants whose names are indexed at the nextpage.The computing device selected a number of rules: 0 laptop papers - no software Committeemember may put up papers; not obligatory anonymity - authors may possibly opt for toanonymize their papers or no longer. nameless papers have been taken care of as traditional, i.e.,the author’s id used to be no longer printed to the computer. The submission software program usedwas “Web Submission and evaluate 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 used to be assigned to at the least 3 computer 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 acquired experiences. Our objective used to be 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 was once thatit may be on hand to the authors to boot.
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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
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 , . . , Qq ) where Qi = (Xi , Ki , Yi ) is the result of the i-th query made by the adversary, and where q is the total number of queries made by the adversary.
Fix numbers n, q and an adversary A asking q queries to its oracle. We upper bound Pr[CollE (Q)] by exhibiting predicates Win0(Q), . , Win8(Q) such that CollE (Q) =⇒ Win0(Q) ∨ . . ∨ Win8(Q) and then by upper bounding separately the probabilities Pr[Win0(Q)], . , Pr[Win8(Q)]. Obviously Pr[CollE (Q)] ≤ Pr[Win0(Q)] + · · · + Pr[Win8(Q)]. (The event Win0(Q) happens if the adversary is lucky, whereas if the adversary is not lucky but makes a successful i-th query then one of the predicates Win1(Q), .
Non-trivial Black-Box Combiners for CRHFs Don’t Exist 25 rest of the paper, the reader can skip the rest of this section if this does not seem to be of interest. Basically, the argument uses the fact that one can encode a collision for any function with output length w using roughly w bits6 and if the function is uniformly random, then w bits are also necessary. Now if a combiner with short output is instantiated with uniformly random functions, (the encoding of) a collision for the combiner will simply be too short to encode the information necessary to ﬁnd collisions for the components.
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.)