Coding theory and algebraic geometry : proceedings of the international workshop held in Luminy, France, June 17-21, 1991 / / edited by Henning Stichtenoth, Michael A. Tsfasman

• Pubblicazione: Berlin, Germany : , : Springer, , [1992]; ©1992
• Edizione: 1st ed. 1992.
• Descrizione fisica: 1 online resource (VIII, 232 p.)
• Disciplina: 629.8312
• Soggetto topico: Geometry, Algebraic
• Persona (resp. second.): StichtenothH <1944-> (Henning); TsfasmanM. A. <1954->
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: Algebraic geometry and coding theory an introduction -- Reed-Muller codes associated to projective algebraic varieties -- Decoding Algebraic-Geometric Codes by solving a key equation -- On the different of abelian extensions of global fields -- Goppa codes and Weierstrass gaps -- On a characterization of some minihypers in PG(t,q) (q=3 or 4) and its applications to error-correcting codes -- Deligne-Lusztig varieties and group codes -- Spectra of linear codes and error probability of decoding -- On the true minimum distance of Hermitian codes -- Sphere packings centered at S-units of algebraic tori -- A function field related to the Ree group -- On the gonality of curves, abundant codes and decoding -- Curves with many points and multiplication in finite fileds -- The domain of covering codes -- Some remarks on the asymptotic number of points -- On the weights of trace codes -- Minoration de Certaines Sommes Exponentielles Binaires -- Linear codes, strata of Grassmannians, and the problems of segre.
• Sommario/riassunto: About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves over a finite field and error-correcting codes. The aim of the meeting "Algebraic Geometry and Coding Theory" was to give a survey on the present state of research in this field and related topics. The proceedings contain research papers on several aspects of the theory, among them: Codes constructed from special curves and from higher-dimensional varieties, Decoding of algebraic geometric codes, Trace codes, Exponen- tial sums, Fast multiplication in finite fields, Asymptotic number of points on algebraic curves, Sphere packings.
• Titolo autorizzato: Coding theory and algebraic geometry
• ISBN: 3-540-47267-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466624603316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1518