000 02883nam a22004575i 4500
001 978-3-658-00360-9
003 DE-He213
005 20140220082924.0
007 cr nn 008mamaa
008 120918s2013 gw | s |||| 0|eng d
020 _a9783658003609
_9978-3-658-00360-9
024 7 _a10.1007/978-3-658-00360-9
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
082 0 4 _a510
_223
100 1 _aEbeling, Wolfgang.
_eauthor.
245 1 0 _aLattices and Codes
_h[electronic resource] :
_bA Course Partially Based on Lectures by Friedrich Hirzebruch /
_cby Wolfgang Ebeling.
250 _a3rd ed. 2013.
264 1 _aWiesbaden :
_bSpringer Fachmedien Wiesbaden :
_bImprint: Springer Spektrum,
_c2013.
300 _aXVI, 167 p. 50 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAdvanced Lectures in Mathematics,
_x0932-7134
505 0 _aLattices and Codes -- Theta Functions and Weight Enumerators -- Even Unimodular Lattices -- The Leech Lattice -- Lattices over Integers of Number Fields and Self-Dual Codes.
520 _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
650 0 _aMathematics.
650 0 _aAlgebra.
650 1 4 _aMathematics.
650 2 4 _aMathematics, general.
650 2 4 _aAlgebra.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783658003593
830 0 _aAdvanced Lectures in Mathematics,
_x0932-7134
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-658-00360-9
912 _aZDB-2-SMA
999 _c98894
_d98894