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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| Auteurs principaux: | , , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2006. |
| Collection: | Algorithms and Computation in Mathematics
17 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Description d'après consultation du 22 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Self-dual codes and invariant theory, Gabriele Nebe, Eric M. Rains, Neil J.A. Sloane, 2006, Berlin, Springer, 1 vol. (XXVI-430 p.), Algorithms and computation in mathematics, 978-3-540-30729-7 • Self-Dual Codes and Invariant Theory, Texte imprimé, 9783540818496 • Self-Dual Codes and Invariant Theory, Texte imprimé, 9783642068010 |
Table des matières:
- 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.
- 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