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

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 pr...

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Tác giả chính: Ebeling, Wolfgang, 1951-
Định dạng: Livre numérique
Ngôn ngữ:Anglais
Được phát hành: Wiesbaden : Springer Fachmedien Wiesbaden [20..].
Cham : Springer Nature
Phiên bản:3rd ed. 2013.
Loạt:Advanced Lectures in Mathematics
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Truy cập trực tuyến:Accès sur la plateforme de l'éditeur
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Chú thích: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Lattices and codes, a course partially based on lectures by F. Hirzebruch, Wolfgang Ebeling, 3rd edition, 2013, Wiesbaden, Springer, 1 vol. (XVI-167 p.), Advanced lectures in mathematics, 978-3-658-00359-3
• Lattices and Codes, Texte imprimé, 9783658003616
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245 1 0 |a Lattices and Codes :  |b A Course Partially Based on Lectures by Friedrich Hirzebruch   |c by Wolfgang Ebeling. 
250 |a 3rd ed. 2013. 
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504 |a Bibliographie. Index 
505 1 |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 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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.ContentLattices and Codes -Theta Functions and Weight Enumerators - Even Unimodular Lattices - The Leech Lattice - Lattices over Integers of Number Fields and Self-Dual Codes.ReadershipGraduate Students in Mathematics and Computer ScienceMathematicians and Computer ScientistsAbout the AuthorProf. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany 
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