03483nam 2200589 450 99646662460331620220911123006.03-540-47267-310.1007/BFb0087986(CKB)1000000000437118(SSID)ssj0000321871(PQKBManifestationID)12069527(PQKBTitleCode)TC0000321871(PQKBWorkID)10281857(PQKB)10200932(DE-He213)978-3-540-47267-4(MiAaPQ)EBC5586242(Au-PeEL)EBL5586242(OCoLC)1066187293(MiAaPQ)EBC6842900(Au-PeEL)EBL6842900(PPN)155211927(EXLCZ)99100000000043711820220911d1992 uy 0engurnn|008mamaatxtccrCoding theory and algebraic geometry proceedings of the international workshop held in Luminy, France, June 17-21, 1991 /edited by Henning Stichtenoth, Michael A. Tsfasman1st ed. 1992.Berlin, Germany :Springer,[1992]©19921 online resource (VIII, 232 p.) Lecture Notes in Mathematics,0075-8434 ;1518Bibliographic Level Mode of Issuance: Monograph3-540-55651-6 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.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.Lecture Notes in Mathematics,0075-8434 ;1518Geometry, AlgebraicGeometry, Algebraic.629.8312Stichtenoth H(Henning),1944-Tsfasman M. A.1954-MiAaPQMiAaPQMiAaPQBOOK996466624603316Coding theory and algebraic geometry262348UNISA