LEADER 03483nam 2200589 450 001 996466624603316 005 20220911123006.0 010 $a3-540-47267-3 024 7 $a10.1007/BFb0087986 035 $a(CKB)1000000000437118 035 $a(SSID)ssj0000321871 035 $a(PQKBManifestationID)12069527 035 $a(PQKBTitleCode)TC0000321871 035 $a(PQKBWorkID)10281857 035 $a(PQKB)10200932 035 $a(DE-He213)978-3-540-47267-4 035 $a(MiAaPQ)EBC5586242 035 $a(Au-PeEL)EBL5586242 035 $a(OCoLC)1066187293 035 $a(MiAaPQ)EBC6842900 035 $a(Au-PeEL)EBL6842900 035 $a(PPN)155211927 035 $a(EXLCZ)991000000000437118 100 $a20220911d1992 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aCoding theory and algebraic geometry $eproceedings of the international workshop held in Luminy, France, June 17-21, 1991 /$fedited by Henning Stichtenoth, Michael A. Tsfasman 205 $a1st ed. 1992. 210 1$aBerlin, Germany :$cSpringer,$d[1992] 210 4$dİ1992 215 $a1 online resource (VIII, 232 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1518 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-55651-6 327 $aAlgebraic 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. 330 $aAbout ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves over a finite field and error-correcting codes. The aim of the meeting "Algebraic Geometry and Coding Theory" was to give a survey on the present state of research in this field and related topics. The proceedings contain research papers on several aspects of the theory, among them: Codes constructed from special curves and from higher-dimensional varieties, Decoding of algebraic geometric codes, Trace codes, Exponen- tial sums, Fast multiplication in finite fields, Asymptotic number of points on algebraic curves, Sphere packings. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1518 606 $aGeometry, Algebraic 615 0$aGeometry, Algebraic. 676 $a629.8312 702 $aStichtenoth$b H$g(Henning),$f1944- 702 $aTsfasman$b M. A.$f1954- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466624603316 996 $aCoding theory and algebraic geometry$9262348 997 $aUNISA