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Binary Quadratic Forms An Algorithmic Approach /

This book deals with algorithmic problems concerning binary quadratic forms 2 2 f(X,Y)= aX +bXY +cY with integer coe?cients a, b, c, the mathem- ical theories that permit the solution of these problems, and applications to cryptography. A considerable part of the theory is developed for forms with r...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Buchmann, Johannes (Autor), Vollmer, Ulrich (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Algorithms and Computation in Mathematics ; 20
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Binary Quadratic Forms
  • Equivalence of Forms
  • Constructing Forms
  • Forms, Bases, Points, and Lattices
  • Reduction of Positive Definite Forms
  • Reduction of Indefinite Forms
  • Multiplicative Lattices
  • Quadratic Number Fields
  • Class Groups
  • Infrastructure
  • Subexponential Algorithms
  • Cryptographic Applications.