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[null,"1.","Record Nr.",null,"UNISA996466624603316"]
[null,null,"Titolo",null,"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"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Germany : , : Springer, , [1992]"]
[{"$nulls":4},"©1992"]
[null,null,"ISBN",null,"3-540-47267-3"]
[null,null,"Edizione",null,"[1st ed. 1992.]"]
[null,null,"Descrizione fisica",null,"1 online resource (VIII, 232 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1518"]
[null,null,"Disciplina",null,"629.8312"]
[null,null,"Soggetti",null,"Geometry, Algebraic"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"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."]