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100   $a20120918d2013      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aLattices and Codes $eA Course Partially Based on Lectures by Friedrich Hirzebruch /$fby Wolfgang Ebeling
205   $a3rd ed. 2013.
210  1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer Spektrum,$d2013.
215   $a1 online resource (176 p.)
225 1 $aAdvanced Lectures in Mathematics,$x0932-7134
300   $aDescription based upon print version of record.
311   $a3-658-00359-6 
320   $aIncludes bibliographical references (p. 159-162) and index.
327   $aLattices and Codes -- Theta Functions and Weight Enumerators -- Even Unimodular Lattices -- The Leech Lattice -- Lattices over Integers of Number Fields and Self-Dual Codes.
330   $aThe purpose of coding theory is the design of efficient systems for  the transmission of information. The mathematical treatment leads to  certain finite structures: the error-correcting codes. Surprisingly  problems which are interesting for the design of codes turn out to be  closely related to problems studied partly earlier and independently  in pure mathematics. In this book, examples of such connections are  presented. The relation between lattices studied in number theory and  geometry and error-correcting codes is discussed. The book provides at the same time an introduction to the theory of integral lattices and modular forms and to coding theory. In the 3rd edition, again numerous corrections and improvements have been made and the text has been updated. Content Lattices and Codes -Theta Functions and Weight Enumerators - Even Unimodular Lattices - The Leech Lattice - Lattices over Integers of Number Fields and Self-Dual Codes. Readership Graduate Students in Mathematics and Computer Science Mathematicians and Computer Scientists About the Author Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany.
410  0$aAdvanced Lectures in Mathematics,$x0932-7134
606   $aMathematics
606   $aAlgebra
606   $aMathematics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/M00009
606   $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000
615  0$aMathematics.
615  0$aAlgebra.
615 14$aMathematics, general.
615 24$aAlgebra.
676   $a510
700   $aEbeling$b Wolfgang$4aut$4http://id.loc.gov/vocabulary/relators/aut$057320
701   $aHirzebruch$b Friedrich$041862
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910438148603321
996   $aLattices and Codes$92877784
997   $aUNINA