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The LLL Algorithm 2010
- Phong Q. Nguyen, Brigitte Vallée:
The LLL Algorithm - Survey and Applications. Information Security and Cryptography, Springer 2010, ISBN 978-3-642-02294-4 - Ionica Smeets
, Arjen K. Lenstra, Hendrik Lenstra, László Lovász, Peter van Emde Boas:
The History of the LLL-Algorithm. 1-17 - Phong Q. Nguyen:
Hermite's Constant and Lattice Algorithms. 19-69 - Brigitte Vallée, Antonio Vera:
Probabilistic Analyses of Lattice Reduction Algorithms. 71-143 - Claus-Peter Schnorr:
Progress on LLL and Lattice Reduction. 145-178 - Damien Stehlé:
Floating-Point LLL: Theoretical and Practical Aspects. 179-213 - Guillaume Hanrot:
LLL: A Tool for Effective Diophantine Approximation. 215-263 - Denis Simon:
Selected Applications of LLL in Number Theory. 265-282 - Jürgen Klüners:
The van Hoeij Algorithm for Factoring Polynomials. 283-291 - Karen I. Aardal, Friedrich Eisenbrand:
The LLL Algorithm and Integer Programming. 293-314 - Alexander May
:
Using LLL-Reduction for Solving RSA and Factorization Problems. 315-348 - Jeffrey Hoffstein
, Nick Howgrave-Graham, Jill Pipher, William Whyte:
Practical Lattice-Based Cryptography: NTRUEncrypt and NTRUSign. 349-390 - Craig Gentry:
The Geometry of Provable Security: Some Proofs of Security in Which Lattices Make a Surprise Appearance. 391-426 - Daniele Micciancio
:
Cryptographic Functions from Worst-Case Complexity Assumptions. 427-452 - Subhash Khot:
Inapproximability Results for Computational Problems on Lattices. 453-473 - Oded Regev:
On the Complexity of Lattice Problems with Polynomial Approximation Factors. 475-496
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