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...
Guardat en:
| Autor principal: | |
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| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Wiesbaden :
Springer Fachmedien Wiesbaden
[20..].
Cham : Springer Nature |
| Edició: | 3rd ed. 2013. |
| Col·lecció: | Advanced Lectures in Mathematics
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| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| 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 |
| Sumari: | 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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| Descripció de l’ítem: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Bibliographie. Index |
| ISBN: | 9783658003609 |
| ISSN: | 2512-7039 |
| Accés: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |