Group-based Cryptography

This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It is explored how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in...

Descripción completa

Detalles Bibliográficos
Autor principal: Myasnikov, Alexei (-)
Autor Corporativo: SpringerLink (-)
Otros Autores: Ushakov, Alexander, Shpilrain, Vladimir
Formato: Libro electrónico
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel 2008.
Colección:Advanced Courses in Mathematics, CRM Barcelona.
Springer eBooks.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b32749934*spi
Tabla de Contenidos:
  • Background on Groups, Complexity, and Cryptography
  • Background on Public Key Cryptography
  • Background on Combinatorial Group Theory
  • Background on Computational Complexity
  • Non-commutative Cryptography
  • Canonical Non-commutative Cryptography
  • Platform Groups
  • Using Decision Problems in Public Key Cryptography
  • Generic Complexity and Cryptanalysis
  • Distributional Problems and the Average-Case Complexity
  • Generic Case Complexity
  • Generic Complexity of NP-complete Problems
  • Asymptotically Dominant Properties and Cryptanalysis
  • Asymptotically Dominant Properties
  • Length-Based and Quotient Attacks.