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...
Call Number: | Libro Electrónico |
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Main Authors: | , , |
Corporate Author: | |
Format: | Electronic eBook |
Language: | Inglés |
Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2006.
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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.