| Dewey Class |
516.35 |
| Title |
Coding Theory and Algebraic Geometry ([EBook]) : Proceedings of the International Workshop held in Luminy, France, June 17–21, 1991 / edited by Henning Stichtenoth, Michael A. Tsfasman. |
| Added Personal Name |
Stichtenoth, Henning |
| Tsfasman, M. A. (Michael A.) , 1954- |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Berlin, Heidelberg : Springer , 1992. |
| Physical Details |
VIII, 232 pages : online resource. |
| Series |
Lecture Notes in Mathematics 0075-8434 ; ; 1518 |
| ISBN |
9783540472674 |
| Summary Note |
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.: |
| Contents note |
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. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/BFb0087986 |
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