# lattice basis reduction

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lattice basis reduction
(криптоаналитический) метод редукции базисов решеток

English-Russian cryptological dictionary . 2014.

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• Lenstra–Lenstra–Lovász lattice basis reduction algorithm — The Lenstra–Lenstra–Lovász lattice basis reduction (LLL) is a polynomial time lattice reduction algorithm invented by Arjen Lenstra, Hendrik Lenstra and László Lovász. Given as input d lattice basis vectors with n dimensional integer coordinates… …   Wikipedia

• Lattice based cryptography — is the generic term for asymmetric cryptographic primitives based on lattice. HistoryLattice have first been discovered by mathematicans Lagrange and Gauss. Lattice have been used laterly in computer algorithms and in cryptanalysis. In 1996 Atjai …   Wikipedia

• Lattice problem — In computer science, lattice problems are a class of optimization problems on lattices. The conjectured intractability of such problems is central to construction of secure lattice based cryptosystems. For applications in such cryptosystems,… …   Wikipedia

• Lattice (group) — A lattice in the Euclidean plane. In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn. Every lattice in Rn …   Wikipedia

• Lattice reduction — In mathematics, the goal of lattice basis reduction is given an integer lattice basis as input, to find a basis with short, nearly orthogonal vectors. This is realized using different algorithms, whose running time is usually at least exponential …   Wikipedia

• Reduction — Reduction, reduced, or reduce may refer to:cienceChemistry*Reduction – chemical reaction in which atoms have their oxidation number (oxidation state) changed. **Reduced gas – a gas with a low oxidation number **Ore reduction: see… …   Wikipedia

• Turing reduction — In computability theory, a Turing reduction from a problem A to a problem B, named after Alan Turing, is a reduction which solves A, assuming B is already known (Rogers 1967, Soare 1987). It can be understood as an algorithm that could be used to …   Wikipedia

• List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… …   Wikipedia

• Coppersmith method — The Coppersmith method, proposed by Don Coppersmith, is a method to find small integer roots of polynomial equations. These polynomials can be univariate or bivariate. In cryptography the algorithm is mainly used in attacks on RSA when parts of… …   Wikipedia

• Gitter (Mathematik) — Ausschnitt eines Gitters. Die blauen Punkte gehören zum Gitter. In der Mathematik sind Gitter in gewissem Sinne regelmäßige Mengen. Sie finden u. a. Anwendung in der Gruppentheorie, der Geometrie und bei Approximationsfragestellungen. Die… …   Deutsch Wikipedia

• Algorithme LLL — L algorithme LLL, des initiales de A. Lenstra, H. Lenstra (en) et L. Lovász, est un algorithme de réduction de réseau qui s exécute en temps polynomial (cf. théorie de la complexité). L algorithme LLL prend en entrée un nombre d de vecteurs… …   Wikipédia en Français

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