Self-dual codes and invariant theory
Author(s)
Bibliographic Information
Self-dual codes and invariant theory
（Algorithms and computation in mathematics, v. 17）
Springer, c2006
- : softcover
Available at / 31 libraries
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. [391]-415) and index
Description and Table of Contents
Description
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.
Table of Contents
The Type of a Self-Dual Code.- Weight Enumerators and Important Types.- Closed Codes.- The Category Quad.- The Main Theorems.- Real and Complex Clifford Groups.- Classical Self-Dual Codes.- Further Examples of Self-Dual Codes.- Lattices.- Maximal Isotropic Codes and Lattices.- Extremal and Optimal Codes.- Enumeration of Self-Dual Codes.- Quantum Codes.
by "Nielsen BookData"