Download Advances in Cryptology – EUROCRYPT 2010: 29th Annual by Vadim Lyubashevsky, Chris Peikert, Oded Regev (auth.), Henri PDF

By Vadim Lyubashevsky, Chris Peikert, Oded Regev (auth.), Henri Gilbert (eds.)

These are the complaints of Eurocrypt 2010, the twenty ninth within the sequence of ecu- pean meetings at the idea and alertness of Cryptographic innovations. The convention was once backed by way 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 obtained of which 188 have been retained as legitimate submissions. those have been each one assigned to at the least 3 application Committee individuals and a complete of 606 evaluate reviews have been produced. the broadcast checklist of the stories and huge on-line discussions that will be nearly as voluminous as those complaints. after all 35 submissions have been approved with twosubmissionpairsbeingmergedtogive33paperspresentedattheconference. The ?nal papers in those complaints weren't topic to a moment assessment ahead of book and the authors are answerable for their contents. The ProgramCommittee, indexed at the subsequent web page, deservesparticular thank you for all their exertions, their extraordinary services, and their consistent c- mitment to all elements of the review technique. those thank you are after all prolonged to the very many exterior reviewers who took the time to assist out throughout the assessment process.It used to be additionally a greatpleasure to honor and welcome Moti Yung who gave the 2010 IACR distinct Lecture.

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Additional info 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

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3 A Somewhat Homomorphic Encryption Scheme Parameters. The construction below has many parameters, controlling the number of integers in the public key and the bit-length of the various integers. 2 This in particular means that for a fixed value of the security parameter, the size of the secret key is always the same, and similarly all the ciphertexts that can be decrypted have the same size. 28 M. van Dijk et al. , the distance between the public key elements and the nearest multiples of the secret key), and τ is the number of integers in the public key.

We have Fully Homomorphic Encryption over the Integers (c∗ /p) − si z i 2 = (c∗ /p) − si [c∗ · yi ]2 + = (c∗ /p) − c∗ · 2 + 2 si Δi = (c /p) − c · (1/p − Δp ) + si Δi ∗ ∗ si y i si Δi ∗ = c · Δp + si Δi 39 2 2 2 We claim that the final quantity inside the brackets has magnitude at most 1/8. By definition, since c∗ is a valid ciphertext output by a permitted polynomial, the value c∗ /p is within 1/8 of an integer. Together, these facts imply the lemma. 1 To establish the claim, observe that | si Δi | ≤ θ · 16θ = 1/16.

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. LNCS, vol.

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