Self-Dual Codes and Invariant Theory
Author | : Gabriele Nebe |
Publisher | : Springer Science & Business Media |
Total Pages | : 449 |
Release | : 2006-05-20 |
ISBN-10 | : 9783540307310 |
ISBN-13 | : 3540307311 |
Rating | : 4/5 (311 Downloads) |
Download or read book Self-Dual Codes and Invariant Theory written by Gabriele Nebe and published by Springer Science & Business Media. This book was released on 2006-05-20 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.