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The LLL Algorithm

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Cover of 'The LLL Algorithm'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 The History of the LLL-Algorithm
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    Chapter 2 Hermite’s Constant and Lattice Algorithms
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    Chapter 3 Probabilistic Analyses of Lattice Reduction Algorithms
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    Chapter 4 Progress on LLL and Lattice Reduction
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    Chapter 5 Floating-Point LLL: Theoretical and Practical Aspects
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    Chapter 6 LLL: A Tool for Effective Diophantine Approximation
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    Chapter 7 Selected Applications of LLL in Number Theory
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    Chapter 8 The van Hoeij Algorithm for Factoring Polynomials
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    Chapter 9 The LLL Algorithm and Integer Programming
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    Chapter 10 Using LLL-Reduction for Solving RSA and Factorization Problems
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    Chapter 11 Practical Lattice-Based Cryptography: NTRUEncrypt and NTRUSign
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    Chapter 12 The Geometry of Provable Security: Some Proofs of Security in Which Lattices Make a Surprise Appearance
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    Chapter 13 Cryptographic Functions from Worst-Case Complexity Assumptions
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    Chapter 14 Inapproximability Results for Computational Problems on Lattices
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    Chapter 15 On the Complexity of Lattice Problems with Polynomial Approximation Factors
Attention for Chapter 3: Probabilistic Analyses of Lattice Reduction Algorithms
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23 Mendeley
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Chapter title
Probabilistic Analyses of Lattice Reduction Algorithms
Chapter number 3
Book title
The LLL Algorithm
Published by
Springer, Berlin, Heidelberg, January 2009
DOI 10.1007/978-3-642-02295-1_3
Book ISBNs
978-3-64-202294-4, 978-3-64-202295-1
Authors

Brigitte Vallée, Antonio Vera, Vallée, Brigitte, Vera, Antonio

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 23 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Malaysia 1 4%
Unknown 22 96%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 9 39%
Other 2 9%
Student > Master 2 9%
Researcher 2 9%
Professor 1 4%
Other 2 9%
Unknown 5 22%
Readers by discipline Count As %
Computer Science 15 65%
Mathematics 2 9%
Physics and Astronomy 1 4%
Unknown 5 22%

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