Lattices and Codes.- Theta Functions and Weight Enumerators.- Even Unimodular Lattices.- The Leech Lattice.- Lattices over Integers of Number Fields and Self-Dual Codes.
"synopsis" may belong to another edition of this title.
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 3rd edition, again numerous corrections and improvements have been made and the text has been updated.
Content
Lattices and Codes -Theta Functions and Weight Enumerators - Even Unimodular Lattices - The Leech Lattice - Lattices over Integers of Number Fields and Self-Dual Codes.
Readership
Graduate Students in Mathematics and Computer Science
Mathematicians and Computer Scientists
About the Author
Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany
Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany
Fields of research: Algebraic Geometry, Differential Topology, Singularities
"About this title" may belong to another edition of this title.
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XII, 178 Seiten, Format 16,4 x 22,8 cm, glanzkaschierter originalkartonierter Einband (Advanced Lectures in Mathematics). * Literaturverzeichnis und Register auf den Seiten 167-178. Erhaltung: Auf dem rückseitigen Deckel ein Preis-Etikett (DM 48,00). Sonst keine weiteren Mängel und insgesamt sehr gut erhalten [Eine größere Sammlung Physik, Mathematik, Astronomie und verwandte Gebiete wird derzeit in den Bestand eingearbeitet. Sie finden diese Titel bei uns in den gleichnamigen Rubriken]. Sprache: Englisch. Seller Inventory # 29796
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Softcover. Condition: gut. Auflage: 1994 (1. Januar 1994). Lattices and CodesA Course Partially Based on Lectures by F. Hirzebruch (Advanced lectures in mathematics) Wolfgang Ebeling Friedrich Hirzebruch Code Barcode Codierung Kode Barcode Gewinn Department of Mathematics Universität Hannover Even Unimodular Lattices and Codes - Theta Functions and Weight Enumerators - Even Unimodular Lattices - The Leech Lattice - Lattices over Integers of Number Fields and Self-Dual Codes Über den Autor Prof. Dr. Wolfgang Ebeling, Department of Mathematics, Universität Hannover, Germany. This is the second revised edition of a textbook on coding theory. The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structuresthe 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. Beschreibung The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structuresthe 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. From the contents - Lattices and Codes - Theta Functions and Weight Enumerators - Even Unimodular Lattices - The Leech Lattice - Lattices over Integers of Number Fields and Self-Dual Codes In englischer Sprache. 178 pages. 24,4 x 17 x 1,7 cm. Seller Inventory # BN12461
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kartoniert kartoniert. Condition: Sehr gut. 178 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 348 Softcover reprint of the original 1st ed. 1994. Seller Inventory # 361127
Quantity: 1 available