Download Advances in Cryptology - EUROCRYPT 2004: International by Michael J. Freedman, Kobbi Nissim, Benny Pinkas (auth.), PDF

By Michael J. Freedman, Kobbi Nissim, Benny Pinkas (auth.), Christian Cachin, Jan L. Camenisch (eds.)

These are the court cases of Eurocrypt 2004, the twenty third Annual Eurocrypt C- ference. The convention used to be prepared by way of contributors of the IBM Zurich learn Laboratory in cooperation with IACR, the overseas organization for Cr- tologic study. Theconferencereceivedarecordnumberof206submissions,outofwhichthe application committee chosen 36 for presentation on the convention (three papers have been withdrawn via the authors presently after submission). those complaints include revised types of the permitted papers. those revisions haven't been checked for correctness, and the authors endure complete accountability for the contents in their papers. The convention application additionally featured invited talks. The ?rst one used to be the 2004 IACR extraordinary Lecture given by means of Whit?eld Di?e. the second one invited speak used to be by way of Ivan Damg? ard who provided “Paradigms for Multiparty Computation. ” the normal rump consultation with brief casual talks on fresh effects used to be chaired by means of Arjen Lenstra. The reviewing method was once a tough activity, and plenty of stable submissions needed to be rejected. every one paper used to be reviewed independently via a minimum of 3 contributors of this system committee, and papers co-authored by way of a member of this system committee have been reviewed by way of no less than six (other) participants. the person reviewing part used to be through profound and occasionally energetic d- cussions in regards to the papers, which contributed much to the standard of the ?nal choice. wide reviews have been despatched to the authors in so much cases.

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Extra resources for Advances in Cryptology - EUROCRYPT 2004: International Conference on the Theory and Applications of Cryptographic Techniques, Interlaken, Switzerland, May 2-6, 2004. Proceedings

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Define the randomized algorithm WG as follows: for v ∈ [k], pick random keys κv ← {0, 1}k . On input (u, z, i, x) return WGκ¯ (u, z, i, x). We define the family of functions W as the set of all WG (with parameters (k, d)) over all multi-graphs G, sets of edge-passwords and sets of node-secrets. Lemma 6. X ∗W . Proof: For XG ∈ X we pick WG ∈ W and demonstrate M and N as required by the definition of the relation ∗. W M such that MG ≡ XG : On input (i1 , x1 ), . . , (in , xn ) query WG with (1, 0 , i1 , x1 ); if WG returns (v2 , σv2 ), query it with (v2 , σv2 , i2 , x2 ) and so on, until it either returns ⊥ or we reach the end of the input and receive (vn , σvn ).

Lemma 3. Let F be a trivially obfuscatable family of functions. Then, G is obfuscatable, if and only if the family of functions A = { F, G : F ∈ F , G ∈ G } is obfuscatable. Proof: First, we show that G A . Then it follows from Lemma 1 that G is obfuscatable if A is. To see that G A , for each G ∈ G we choose A = F, G ∈ A , where F ∈ F is a fixed function for all G. Then a machine M which internally implements F can implement A with access to only G. On the other hand a machine N which has access to A can clearly implement G.

T ), then M constructs the complete DFA (replacing the variables ζ αi with αi ) and checks if x is accepted by the DFA. If so, M outputs α1 , . . , αt ; if not it outputs ⊥. ,αt ) , then there is some path in the DFA for ρ which accepts x. Let Z be the set of all i such that ζ αi appears on this accepting path. By the way Zρ was constructed, Z ∈ Zρ . Further all these ζ αi appear as part of x. Thus, for some guess β1 , . . , βt , it will be the case that for all of i ∈ Z βi = αi . ,αt ) , M will obtain all of α1 , .

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