Self-Dual Codes and Invariant Theory
| Autor: | Gabriele Nebe, Eric M. Rains, Neil J. A. Sloane |
|---|---|
| EAN: | 9783540307310 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 20.05.2006 |
| Kategorie: | |
| Schlagworte: | Code Error-correcting Code coding theory communication error-correcting codes invariant theory lattices modular forms optimal code quantum codes |
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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, which has inspired hundreds of papers about generalizations and applications of this theorem to different types of codes. This self-contained book develops a new theory which is powerful enough to include all the earlier generalizations.
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