Coding Theory and Algebraic Geometry : Proceedings of the International Workshop held in Luminy, France, June 17 21, 1991
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...
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| Altres autors: | , |
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| Format: | Livre numérique |
| Idioma: | Anglais Français |
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Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in mathematics
1518 |
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Une contribution en français, les autres sont en anglais Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Coding theory and algebraic geometry, proceedings of the international workshop held in Luminy, France, June 17-21, 1991, H. Stichtenoth, M.A. Tsfasman (eds.), Berlin, Springer-Verlag, 1992, 1 vol. (VIII- 223 p.), Lecture notes in mathematics, 3-540-55651-6 • Coding Theory and Algebraic Geometry, Texte imprimé, 9783662174821 |
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| 245 | 0 | 0 | |a Coding Theory and Algebraic Geometry : |b Proceedings of the International Workshop held in Luminy, France, June 17 21, 1991 |c edited by Henning Stichtenoth, Michael A. Tsfasman. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1518 |x 1617-9692 | |
| 500 | |a Une contribution en français, les autres sont en anglais | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Codage | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Chimiométrie | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Intelligence computationnelle | ||
| 650 | |a Actes de congrès | ||
| 700 | 1 | |a Tsfasman, Michael A., |d 1954-...., |c mathématicien. |4 pbd | |
| 700 | 1 | |a Stichtenoth, Henning, |d 1944- |4 pbd | |
| 776 | 0 | |0 014182017 |t Coding theory and algebraic geometry |o proceedings of the international workshop held in Luminy, France, June 17-21, 1991 |f H. Stichtenoth, M.A. Tsfasman (eds.) |c Berlin |n Springer-Verlag |d 1992 |p 1 vol. (VIII- 223 p.) |s Lecture notes in mathematics |z 3-540-55651-6 | |
| 776 | 0 | |t Coding Theory and Algebraic Geometry |b Texte imprimé |z 9783662174821 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0087986 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-W0F64GCL-C |z Accès sur la plateforme Istex | |
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