Self-Dual Codes and Invariant Theory

by Gabriele Nebe, Eric M. Rains, Neil J. A. Sloane

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.

457 pages, Paperback

First published January 1, 2006