Información General

• Autores: Gabriele Nebe, Neil J.A. Sloane, Eric M. Rains
• Editores: Berlin : Springer, 2006
• Año de publicación: 2006
• País: Alemania
• Idioma: inglés
• ISBN: 978-3-540-30729-7, 978-3-540-30731-0
• Texto completo no disponible (Saber más ...)

Resumen

• 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.

Otros catálogos

• Red de Bibliotecas Universitarias (REBIUN)

Índice

• Preface.- 1 The Type of a Self-Dual Code.- 2 Weight Enumerators and Important Types.- 3 Closed Codes.- 4 The Category Quad.- 5 The Main Theorems.- 6 Real and Complex Clifford Groups.- 7 Classical Self-Dual Codes.- 8 Further Examples of Self-Dual Codes.- 9 Lattices.- 10 Maximal Isotropic Codes and Lattices.- 11 Extremal and Optimal Codes.- 12 Enumeration of Self-Dual Codes.- 13 Quantum Codes.- Bibliography.- Index.