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Titlebook: Cryptography and Lattices; International Confer Joseph H. Silverman Conference proceedings 2001 Springer-Verlag Berlin Heidelberg 2001 Latt

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Fault Tolerance in Caching Systemsnd Durfee [.] based on lattice reduction techniques and Coppersmith’s method for finding small roots of modular polynomial equations. Although our results are slightly worse than the results of Boneh and Durfee they have several interesting features. We partially analyze the structure of the lattice
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Web Caching and Its Applicationsssenhaus. Contrary to Lenstra, Lenstra and Lovász, the lattice reduction is not used to calculate coefficients of a factor but is only used to solve the combinatorial problem, which is a problem with much smaller coefficients and dimension. The factors are then constructed efficiently in the same wa
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Behavioral Hardware Description Languages,mmon divisors. This leads us to consider the question of “fully” approximate common divisors, i.e. where both integers are only known by approximations. We explain the lattice techniques in both the partial and general cases. As an application of the partial approximate common divisor algorithm we s
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Behavioral Hardware Description Languages,scaled basis can be accurately computed up to dimension 2. by Householder reflexions in floating point arithmetic . with 53 precision bits..We develop a highly practical fpa-variant of the new . . . of Koy and Schnorr [.]. The LLL-steps are guided in this algorithm by the Gram-Schmidt coefficients o
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Behavioral Hardware Description Languages,r functions of the kind proposed by Goldreich, Goldwasser and Halevi (GGH). The improvement is significant both from the theoretical and practical point of view, reducing the size of both key and ciphertext by a factor . equal to the dimension of the lattice (i.e., several hundreds for typical value
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Behavioral Hardware Description Languages,. Since the appearance of the celebrated Lenstra-Lenstra-Lovász lattice basis reduction algorithm twenty years ago, lattices have had surprising applications in cryptology. Until recently, the applications of lattices to cryptology were only negative, as lattices were used to break various cryptogra
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Behavioral Hardware Description Languages, basis which is equivalent to that of the Minkowski reduced basis of a 3-dimensional lattice. We prove that for . ., b., b. ε ℤ., . ≥ 3 and |b.|, |b.|, |b. | ≤ ., our algorithm takes O(log. . binary operations, without using fast integer arithmetic, to reduce this basis and so to find the shortest v
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