Algebraic function fields and codes (Record no. 6688)

010 ## - ISBN
ISBN 3540564896
qualificatif Berlin
010 ## - ISBN
ISBN 0387564896
qualificatif New York
200 1# - titre
titre Algebraic function fields and codes
auteur Henning, Stichtenoth
Type document Livre
210 ## - éditeur
lieu de publication Berlin
-- New York
nom de l'editeur Springer
date de publication 1993
101 ## - langue
langue du document Anglais
langue de l'oeuvre originale Anglais
215 ## - description
Nombre de pages X-260 p.
format 24 cm
225 ## - collection
titre de la collection Universitext
300 ## - note
Note Bibliogr. p. 251-252. Index
606 ## - sujets
sujet Codage
606 ## - sujets
sujet Fonctions algébriques
606 ## - sujets
sujet Corps algébriques
330 ## - résumé
texte de la note This book has two objectives. The first is to fill a void in the existing mathematical literature by providing a modern, self-contained and in-depth exposition of the theory of algebraic function fields. The topics include the Riemann-Roch theorem, algebraic extensions of function fields, ramifications theory and differentials. Particular emphasis is placed on function fields over a finite constant field, leading into zeta functions and the Hasse-Weil theorem. Numerous examples illustrate the general theory. Error-correcting codes are in widespread use for the reliable transmission of information. Perhaps the most fascinating of all the ties that link the theory of these codes to mathematics is the construction by V.D. Goppa, of powerful codes using techniques borrowed from algebraic geometry. Algebraic function fields provide the most elementary approach to Goppa's ideas, and the second objective of this book is to provide an introduction to Goppa's algebraic-geometric codes along these lines. The codes, their parameters and links with traditional codes such as classical Goppa, Peed-Solomon and BCH codes are treated at an early stage of the book. Subsequent chapters include a decoding algorithm for these codes as well as a discussion of their subfield subcodes and trace codes. Stichtenoth's book will be very useful to students and researchers in algebraic geometry and coding theory and to computer scientists and engineers interested in information transmission.
686 ## - Classification
Classification 512.2 Arithmétique, courbes algébriques
700 ## - auteur(s)
auteur Stichtenoth
partie du nom autre que l'élément d';entrée Henning
koha internal code 13660
001 - notice numéro
Numéro d'identification notice FRBNF374265730000005
100 ## - données générales de traitement
données générales de traitement 19940802d1993 m y0frey5003 b
Propriétaire Dépositaire Localisation code barre cote Statut note
ENS Rennes - Bibliothèque ENS Rennes - Bibliothèque Mathématiques 00006895 512.2 STI Empruntable 512.2 Arithmétique, courbes algébriques

Powered by Koha