The LLL Algorithm Survey and Applications /

Détails bibliographiques
Cote:Libro Electrónico
Collectivité auteur: SpringerLink (Online service)
Autres auteurs: Nguyen, Phong Q. (Éditeur intellectuel), Vallée, Brigitte (Éditeur intellectuel)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Édition:1st ed. 2010.
Collection:Information Security and Cryptography,
Sujets:
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.
Accès en ligne:Texto Completo
Table des matières:
  • 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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