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The LLL Algorithm
Probabilistic Analyses of Lattice Reduction Algorithms
other
Author(s):
Brigitte Vallée
,
Antonio Vera
Publication date
(Online):
October 7 2009
Publisher:
Springer Berlin Heidelberg
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Model Reduction of Parametrized Systems 2015
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A hierarchy of polynomial time lattice basis reduction algorithms
C.P. Schnorr
(1987)
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Small Solutions to Polynomial Equations, and Low Exponent RSA Vulnerabilities
Don Coppersmith
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Floating-Point LLL Revisited
Phong Nguên
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Damien Stehle
(2005)
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Book Chapter
Publication date (Print):
2009
Publication date (Online):
October 7 2009
Pages
: 71-143
DOI:
10.1007/978-3-642-02295-1_3
SO-VID:
823c5f37-25c2-4c6c-843a-aa3520319812
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Book chapters
pp. 1
The History of the LLL-Algorithm
pp. 19
Hermite’s Constant and Lattice Algorithms
pp. 71
Probabilistic Analyses of Lattice Reduction Algorithms
pp. 145
Progress on LLL and Lattice Reduction
pp. 179
Floating-Point LLL: Theoretical and Practical Aspects
pp. 215
LLL: A Tool for Effective Diophantine Approximation
pp. 265
Selected Applications of LLL in Number Theory
pp. 283
The van Hoeij Algorithm for Factoring Polynomials
pp. 293
The LLL Algorithm and Integer Programming
pp. 315
Using LLL-Reduction for Solving RSA and Factorization Problems
pp. 349
Practical Lattice-Based Cryptography: NTRUEncrypt and NTRUSign
pp. 391
The Geometry of Provable Security: Some Proofs of Security in Which Lattices Make a Surprise Appearance
pp. 427
Cryptographic Functions from Worst-Case Complexity Assumptions
pp. 453
Inapproximability Results for Computational Problems on Lattices
pp. 475
On the Complexity of Lattice Problems with Polynomial Approximation Factors
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