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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| Autres auteurs: | , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais Français |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
1518 |
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| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
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 |
Table des matières:
- 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.