Self-Dual Codes and Invariant Theory E-Book

Gabriele Nebe

• Herausgeber: Springer Berlin
• Kategorie: Wissenschaft und neue Technologien
• Serie: Algorithms and Computation in Mathematics
• Sprache: Englisch
• Veröffentlichungsjahr: 2006

Beschreibung

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.