Self-Dual Codes and Invariant Theory

One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory. In the past 35 years there have been hundreds of papers written about generalizations and applications of thi...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Nebe, Gabriele (Autor), Rains, Eric M. (Autor), Sloane, Neil J. A. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Algorithms and Computation in Mathematics ; 17
Temas:
Algebra.
Coding theory.
Information theory.
Group theory.
Control engineering.
Robotics.
Automation.
Number theory.
Quantum physics.
Coding and Information Theory.
Group Theory and Generalizations.
Control, Robotics, Automation.
Number Theory.
Quantum Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • The Type of a Self-Dual Code
  • Weight Enumerators and Important Types
  • Closed Codes
  • The Category Quad
  • The Main Theorems
  • Real and Complex Clifford Groups
  • Classical Self-Dual Codes
  • Further Examples of Self-Dual Codes
  • Lattices
  • Maximal Isotropic Codes and Lattices
  • Extremal and Optimal Codes
  • Enumeration of Self-Dual Codes
  • Quantum Codes.

Ejemplares similares