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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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Nebe, Gabriele (Author), Rains, Eric M. (Author), Sloane, Neil J. A. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edition:1st ed. 2006.
Series:Algorithms and Computation in Mathematics ; 17
Subjects:
Online Access:Texto Completo
Table of Contents:
  • 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.