Lattices and Codes
A Course Partially Based on Lectures by F. Hirzebruch
(Sprache: Englisch)
In the 2nd edition numerous corrections have been made. More basic material has been included to make the text even more self-contained. A new section on the automorphism group of the Leech lattice has been added. Some hints to new results have been incorporated. With several new exercises.
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Produktinformationen zu „Lattices and Codes “
In the 2nd edition numerous corrections have been made. More basic material has been included to make the text even more self-contained. A new section on the automorphism group of the Leech lattice has been added. Some hints to new results have been incorporated. With several new exercises.
Klappentext zu „Lattices and Codes “
In the 2nd edition numerous corrections have been made. More basic material has been included to make the text even more self-contained. A new section on the automorphism group of the Leech lattice has been added. Some hints to new results have been incorporated. With several new exercises. The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure mathematics. In this book, examples of such connections are presented. The relation between lattices studied in number theory and geometry and error-correcting codes is discussed. The book provides at the same time an introduction to the theory of integral lattices and modular forms and to coding theory.In the 2nd edition numerous corrections have been made. More basic material has been included to make the text even more self-contained. A new section on the automorphism group of the Leech lattice has been added. Some hints to new results have been incorporated. Finally, several new exercises have been added.
Inhaltsverzeichnis zu „Lattices and Codes “
Lattices and Codes - Theta Functions and Weight Enumerators - Even Unimodular Lattices - The Leech Lattice - Lattices over Integers of Number Fields and Self-Dual Codes
Autoren-Porträt von Wolfgang Ebeling, Friedrich Hirzebruch
Prof. Dr. Wolfgang Ebeling, Department of Mathematics, Universität Hannover, Germany.
Bibliographische Angaben
- Autoren: Wolfgang Ebeling , Friedrich Hirzebruch
- 2002, 2nd, rev. ed., XII, 188 Seiten, 15 Abbildungen, Maße: 17 x 24,4 cm, Kartoniert (TB), Englisch
- Verlag: Vieweg+Teubner
- ISBN-10: 3528164972
- ISBN-13: 9783528164973
Sprache:
Englisch
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