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Wolfgang Ebeling 
Lattices and Codes [PDF ebook] 
A Course Partially Based on Lectures by Friedrich Hirzebruch

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perlindungan daripada Wolfgang Ebeling: Lattices and Codes (PDF)

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.

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Lattices and Codes.- Theta Functions and Weight Enumerators.- Even Unimodular Lattices.- The Leech Lattice.- Lattices over Integers of Number Fields and Self-Dual Codes.

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Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany Fields of research: Algebraic Geometry, Differential Topology, Singularities
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Bahasa Inggeris ● Format PDF ● Halaman-halaman 167 ● ISBN 9783658003609 ● Penerbit Springer Fachmedien Wiesbaden GmbH ● Bandar raya Wiesbaden ● Negara DE ● Diterbitkan 2012 ● Edisi 3 ● Muat turun 24 bulan ● Mata wang EUR ● ID 2666109 ● Salin perlindungan Adobe DRM
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