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Record Nr. |
UNISA996466624603316 |
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Titolo |
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 |
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Pubbl/distr/stampa |
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Berlin, Germany : , : Springer, , [1992] |
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©1992 |
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ISBN |
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Edizione |
[1st ed. 1992.] |
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Descrizione fisica |
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1 online resource (VIII, 232 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1518 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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algebraic geometric codes, Trace codes, Exponen- tial sums, Fast multiplication in finite fields, Asymptotic number of points on algebraic curves, Sphere packings. |
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