Self-Dual Codes and Invariant Theory
Publication year: 2006
ISBN: 978-3-540-30731-0
Internet Resource: Please Login to download book
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. In the past 35 years there have been hundreds of papers written 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.
Subject: Mathematics and Statistics, Code, Error-correcting Code, coding theory, communication, error-correcting codes, invariant theory, lattices, modular forms, optimal code, quantum codes
