The LLL Algorithm Survey and Applications /

Bibliographic Details
Call Number:Libro Electrónico
Corporate Author: SpringerLink (Online service)
Other Authors: Nguyen, Phong Q. (Editor), Vallée, Brigitte (Editor)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Edition:1st ed. 2010.
Series:Information Security and Cryptography,
Subjects:
Artificial intelligence > Data processing.
Cryptography.
Data encryption (Computer science).
Computer science > Mathematics.
Data structures (Computer science).
Information theory.
Algorithms.
Data Science.
Cryptology.
Mathematics of Computing.
Data Structures and Information Theory.
Online Access:Texto Completo
Table of Contents:
  • The History of the LLL-Algorithm
  • Hermite#x2019;s Constant and Lattice Algorithms
  • Probabilistic Analyses of Lattice Reduction Algorithms
  • Progress on LLL and Lattice Reduction
  • Floating-Point LLL: Theoretical and Practical Aspects
  • LLL: A Tool for Effective Diophantine Approximation
  • Selected Applications of LLL in Number Theory
  • The van Hoeij Algorithm for Factoring Polynomials
  • The LLL Algorithm and Integer Programming
  • Using LLL-Reduction for Solving RSA and Factorization Problems
  • Practical Lattice-Based Cryptography: NTRUEncrypt and NTRUSign
  • The Geometry of Provable Security: Some Proofs of Security in Which Lattices Make a Surprise Appearance
  • Cryptographic Functions from Worst-Case Complexity Assumptions
  • Inapproximability Results for Computational Problems on Lattices
  • On the Complexity of Lattice Problems with Polynomial Approximation Factors.

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