By Sanjam Garg, Craig Gentry, Shai Halevi (auth.), Thomas Johansson, Phong Q. Nguyen (eds.)
This ebook constitutes the lawsuits of the thirty second Annual overseas convention at the idea and purposes of Cryptographic suggestions, EUROCRYPT 2013, held in Athens, Greece, in could 2013. The forty-one complete papers incorporated during this quantity have been conscientiously reviewed and chosen from 201 submissions. They care for 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 resources 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
Pseudorandom Functions and Lattices. , Johansson, T. ) EUROCRYPT 2012. LNCS, vol. 7237, pp. 719–737. : Fully Homomorphic Encryption without Modulus Switching from Classical GapSVP. In: Safavi-Naini, R. ) CRYPTO 2012. LNCS, vol. 7417, pp. 868–886. : Eﬃcient Fully Homomorphic Encryption from (Standard) LWE. In: FOCS, pp. : Bonsai Trees, or How to Delegate a Lattice Basis. In: Gilbert, H. ) EUROCRYPT 2010. LNCS, vol. 6110, pp. 523–552. : Fuzzy Extractors: How to Generate Strong Keys from Biometrics and Other Noisy Data.
Tighter control of the noise growth therefore allows for a larger initial error rate, which permits a smaller modulus q and dimension n, which leads to smaller keys and ciphertexts, and faster operations for a given level of security. Regarding the choice of ring, the class of cyclotomic rings R ∼ = Z[X]/Φm (X), where Φm (X) is the mth cyclotomic polynomial (which has degree n = ϕ(m) and is monic and irreducible over the rationals), has many attractive features that have proved very useful in cryptography.
While power-of-two cyclotomic rings are very convenient to use, there are several reasons why it is essential to consider other cyclotomics as well. The most obvious, practical reason is that powers of two are sparsely distributed, and the desired concrete security level for an application may call for a ring dimension much smaller than the next-largest power of two. So restricting to powers of two could lead to key sizes and runtimes that are at least twice as A Toolkit for Ring-LWE Cryptography 37 large as necessary.
Advances in Cryptology – EUROCRYPT 2013: 32nd Annual International Conference on the Theory and Applications of Cryptographic Techniques, Athens, Greece, May 26-30, 2013. Proceedings by Sanjam Garg, Craig Gentry, Shai Halevi (auth.), Thomas Johansson, Phong Q. Nguyen (eds.)