The LLL Algorithm - Survey and Applications - researchr publication

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Phong Q. Nguyen, Brigitte Vallée, editors, The LLL Algorithm - Survey and Applications. Information Security and Cryptography, Springer, 2010. [doi]

Abstract is missing.

The History of the LLL-AlgorithmIonica Smeets, Arjen K. Lenstra, Hendrik Lenstra, László Lovász, Peter van Emde Boas. 1-17 [doi]

Hermite's Constant and Lattice AlgorithmsPhong Q. Nguyen. 19-69 [doi]

Probabilistic Analyses of Lattice Reduction AlgorithmsBrigitte Vallée, Antonio Vera. 71-143 [doi]

Progress on LLL and Lattice ReductionClaus-Peter Schnorr. 145-178 [doi]

Floating-Point LLL: Theoretical and Practical AspectsDamien Stehlé. 179-213 [doi]

LLL: A Tool for Effective Diophantine ApproximationGuillaume Hanrot. 215-263 [doi]

Selected Applications of LLL in Number TheoryDenis Simon. 265-282 [doi]

The van Hoeij Algorithm for Factoring PolynomialsJürgen Klüners. 283-291 [doi]

The LLL Algorithm and Integer ProgrammingKaren Aardal, Friedrich Eisenbrand. 293-314 [doi]

Using LLL-Reduction for Solving RSA and Factorization ProblemsAlexander May. 315-348 [doi]

Practical Lattice-Based Cryptography: NTRUEncrypt and NTRUSignJeffrey Hoffstein, Nick Howgrave-Graham, Jill Pipher, William Whyte. 349-390 [doi]

The Geometry of Provable Security: Some Proofs of Security in Which Lattices Make a Surprise AppearanceCraig Gentry. 391-426 [doi]

Cryptographic Functions from Worst-Case Complexity AssumptionsDaniele Micciancio. 427-452 [doi]

Inapproximability Results for Computational Problems on LatticesSubhash Khot. 453-473 [doi]

On the Complexity of Lattice Problems with Polynomial Approximation FactorsOded Regev. 475-496 [doi]

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