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.
"Sinopsis" puede pertenecer a otra edición de este libro.
Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany
Fields of research: Algebraic Geometry, Differential Topology, Singularities
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
"Sobre este título" puede pertenecer a otra edición de este libro.
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 184 pp. Englisch. Nº de ref. del artículo: 9783658003593
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Taschenbuch. Condición: Neu. Neuware -The purpose of coding theory is the design of efficient systems forthe transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisinglyproblems which are interesting for the design of codes turn out to beclosely related to problems studied partly earlier and independentlyin pure mathematics. In this book, examples of such connections arepresented. The relation between lattices studied in number theory and geometry and error-correcting codes is discussed. The book providesat the same time an introduction to the theory of integral latticesand modular forms and to coding theory.In the 3rd edition, again numerous corrections and improvements havebeen made and the text has been updated.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 184 pp. Englisch. Nº de ref. del artículo: 9783658003593
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