By Vadim Lyubashevsky, Chris Peikert, Oded Regev (auth.), Henri Gilbert (eds.)
These are the court cases of Eurocrypt 2010, the twenty ninth within the sequence of european- pean meetings at the thought and alertness of Cryptographic options. The convention was once subsidized by means of the foreign organization for Cryptologic study and hung on the French Riviera, may possibly 30–June three, 2010. a complete of 191 papers have been bought of which 188 have been retained as legitimate submissions. those have been each one assigned to no less than 3 application Committee participants and a complete of 606 overview studies have been produced. the broadcast checklist of the reports and vast on-line discussions that will be nearly as voluminous as those court cases. in any case 35 submissions have been accredited with twosubmissionpairsbeingmergedtogive33paperspresentedattheconference. The ?nal papers in those complaints weren't topic to a moment evaluate earlier than booklet and the authors are accountable for their contents. The ProgramCommittee, indexed at the subsequent web page, deservesparticular thank you for all their labor, their awesome services, and their consistent c- mitment to all features of the evaluate strategy. those thank you are in fact prolonged to the very many exterior reviewers who took the time to aid out throughout the review process.It used to be additionally a greatpleasure to honor and welcome Moti Yung who gave the 2010 IACR amazing Lecture.
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Additional resources for Advances in Cryptology – EUROCRYPT 2010: 29th Annual International Conference on the Theory and Applications of Cryptographic Techniques, French Riviera, May 30 – June 3, 2010. Proceedings
It is clear that as deﬁned above, fully homomorphic encryption can be trivially realized from any secure encryption scheme, by an algorithm Evaluate that simply attaches a description of the circuit C to the ciphertext tuple, and a Decrypt procedure that ﬁrst decrypts all the ciphertexts and then evaluates C on the corresponding plaintext bits. Two properties of homomorphic encryption that rule out this trivial solution are circuit-privacy and compactness. Circuit privacy roughly means that the ciphertext generated by Evaluate does not reveal anything about the circuit that it evaluates beyond the output value of that circuit, even for someone who knows the secret key.
LNCS, vol. 5350, pp. 372–389. : Lattice-based identiﬁcation schemes secure under active attacks. In: Cramer, R. ) PKC 2008. LNCS, vol. 4939, pp. 162–179. : Fiat-Shamir with aborts: Applications to lattice and factoringbased signatures. In: Matsui, M. ) ASIACRYPT 2009. LNCS, vol. 5912, pp. 598–616. : Generalized compact knapsacks are collision resistant. , Wegener, I. ) ICALP 2006, Part II. LNCS, vol. 4052, pp. 144–155. : Asymptotically eﬃcient lattice-based digital signatures. In: Canetti, R. ) TCC 2008.
2); – γ = ω(η 2 log λ), to thwart various lattice-based attacks on the underlying approximate-gcd problem (cf. Section 5); – τ ≥ γ + ω(log λ), in order to use the leftover hash lemma in the reduction to approximate gcd. We also use a secondary noise parameter ρ = ρ + ω(log λ). A convenient param˜ 2 ), γ = O(λ ˜ 5 ) and τ = γ + λ. ) (This setting results in a scheme with complexity O(λ For a speciﬁc (η-bit) odd positive integer p, we use the following distribution over γ-bit integers: $ $ Dγ,ρ (p) = choose q ← Z ∩ [0, 2γ /p), r ← Z ∩ (−2ρ , 2ρ ) : output x = pq + r This distribution is clearly eﬃciently sampleable.
Advances in Cryptology – EUROCRYPT 2010: 29th Annual International Conference on the Theory and Applications of Cryptographic Techniques, French Riviera, May 30 – June 3, 2010. Proceedings by Vadim Lyubashevsky, Chris Peikert, Oded Regev (auth.), Henri Gilbert (eds.)