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Field name	Details
Dewey Class	510
Title	Lattices and Codes ([Ebook]) : A Course Partially Based on Lectures by Friedrich Hirzebruch / by Wolfgang Ebeling.
Author	Ebeling, Wolfgang
Other name(s)	SpringerLink (Online service)
Edition statement	3rd ed. 2013.
Publication	Wiesbaden : Springer Fachmedien
Publication	, 2013.
Physical Details	XVI, 167 p. 50 illus. : online resource.
Series	Advanced lectures in mathematics 0932-7134
ISBN	9783658003609
Summary Note	The purpose of coding theory is the design of efficient systems forÂ the transmission of information. The mathematical treatment leads toÂ certain finite structures: the error-correcting codes. SurprisinglyÂ problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independentlyÂ in pure mathematics. In this book, examples of such connections areÂ presented. The relation between lattices studied in number theory andÂ geometry and error-correcting codes is discussed. The book providesÂ at the same time an introduction to the theory of integral latticesÂ 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:
Contents note	Lattices and Codes -- Theta Functions and Weight Enumerators -- Even Unimodular Lattices -- The Leech Lattice -- Lattices over Integers of Number Fields and Self-Dual Codes.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-658-00360-9
Links to Related Works	Subject References: Algebra . Coding theory . Lattice theory . Mathematics, general . Authors: Ebeling, Wolfgang . Corporate Authors: SpringerLink (Online service) . Series: Advanced lectures in mathematics . Classification: 510 . 510 (DDC 23) .

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Lattices and Codes: A Course Partially Based on Lectures by Friedrich Hirzebruch

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