000 02242nam a22003017a 4500
005 20220408151416.0
008 220408b |||||||| |||| 00| 0 eng d
020 _a9783658003593
028 _a:Zafaa Books & Distributors
_b:313/56F 49A, Anand Nagar Inderlok Delhi 110035
_c:ZBD0019
_d:04/04/2022
082 _a512.7 EBE
100 _aEbeling, Wolfgang
245 _aLattices and Codes
_b: a course partially based on lectures by Friedrich Hirzebruch
_c/ Wolfgang Ebeling
260 _aNew York
_b : Springer Spektrum,
_c ©2013.
300 _axvi, 167p
_c24cm.
365 _b5339
490 _aAdvanced lectures in mathematics.
505 _a Lattices 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 Science Mathematicians and Computer Scientists About the Author Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany
650 _aMathematics
650 _aAlgebra
650 _aLattice theory.
650 _aCoding theory.
650 _aGitter
650 _aMathematics.
650 _aAlgebra.
700 _aEbeling, Wolfgang
942 _cBOOK
999 _c59094
_d59094