Algorithms and Computation in Mathematics
1 primary work
Book 17
Self-Dual Codes and Invariant Theory
by Gabriele Nebe, Eric M Rains, and Neil J. A. Sloane
Published 1 January 2006
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.