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＜電子ブック＞
Lattices and Codes : A Course Partially Based on Lectures by Friedrich Hirzebruch / by Wolfgang Ebeling
(Advanced Lectures in Mathematics. ISSN:25127039)

版	3rd ed. 2013.
出版者	(Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum)
出版年	2013
本文言語	英語
大きさ	XVI, 167 p. 50 illus : online resource
著者標目	*Ebeling, Wolfgang author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Algebra FREE:Mathematics FREE:Algebra
一般注記	Lattices and Codes -- Theta Functions and Weight Enumerators -- Even Unimodular Lattices -- The Leech Lattice -- Lattices over Integers of Number Fields and Self-Dual Codes 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 HTTP:URL=https://doi.org/10.1007/978-3-658-00360-9

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