Download Advances in Cryptology – EUROCRYPT 2013: 32nd Annual by Sanjam Garg, Craig Gentry, Shai Halevi (auth.), Thomas PDF

By Sanjam Garg, Craig Gentry, Shai Halevi (auth.), Thomas Johansson, Phong Q. Nguyen (eds.)

This publication constitutes the court cases of the thirty second Annual overseas convention at the conception and purposes of Cryptographic recommendations, EUROCRYPT 2013, held in Athens, Greece, in could 2013. The forty-one complete papers integrated during this quantity have been rigorously reviewed and chosen from 201 submissions. They take care of cryptanalysis of hash capabilities, side-channel assaults, quantity conception, lattices, public key encryption, electronic signatures, homomorphic cryptography, quantum cryptography, garage, instruments, and safe computation.

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Extra info for Advances in Cryptology – EUROCRYPT 2013: 32nd Annual International Conference on the Theory and Applications of Cryptographic Techniques, Athens, Greece, May 26-30, 2013. Proceedings

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Subspace LWE. In: Cramer, R. ) TCC 2012. LNCS, vol. 7194, pp. 548–563. : Lossy trapdoor functions and their applications. In: STOC, pp. : On lattices, learning with errors, random linear codes, and cryptography. In: STOC, pp. 84–93 (2005) A Toolkit for Ring-LWE Cryptography Vadim Lyubashevsky1, , Chris Peikert2, , and Oded Regev3, 1 INRIA and École Normale Supérieure, Paris 2 Georgia Institute of Technology 3 Courant Institute, New York University Abstract. Recent advances in lattice cryptography, mainly stemming from the development of ring-based primitives such as ring-LWE, have made it possible to design cryptographic schemes whose efficiency is competitive with that of more traditional number-theoretic ones, along with entirely new applications like fully homomorphic encryption.

Exists a family of γ-lossy codes Cn,m,q ∈ Zm×n q ), instances Proof. First notice that due to the non-lossiness property of U(Zm×n q of LWE(n, m, q, χ) have a unique solution, except with negligible probability. For contradiction, let A be a PPT-adversary that solves LWE(n, m, q, χ) with nonnegligible probability . We will begin with the first statement of the theorem. Using A, we will ) with construct a PPT-distinguisher D that distinguishes Cn,m,q and U(Zm×n q Lossy Codes and a New Variant of the Learning-With-Errors Problem 27 non-negligible advantage.

Lossy trapdoor functions and their applications. In: STOC, pp. : On lattices, learning with errors, random linear codes, and cryptography. In: STOC, pp. 84–93 (2005) A Toolkit for Ring-LWE Cryptography Vadim Lyubashevsky1, , Chris Peikert2, , and Oded Regev3, 1 INRIA and École Normale Supérieure, Paris 2 Georgia Institute of Technology 3 Courant Institute, New York University Abstract. Recent advances in lattice cryptography, mainly stemming from the development of ring-based primitives such as ring-LWE, have made it possible to design cryptographic schemes whose efficiency is competitive with that of more traditional number-theoretic ones, along with entirely new applications like fully homomorphic encryption.

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