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Coding Theory and Algebraic Geometry
Proceedings of the International Workshop held in Luminy, France, June 17-21, 1991
herausgegeben von Henning Stichtenoth und Michael A. TsfasmanAbout 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.
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.