Cover of Henning Stichtenoth (EDT), Michael A. Tsfasman (EDT): Coding Theory and Algebraic Geometry

Henning Stichtenoth (EDT), Michael A. Tsfasman (EDT) Coding Theory and Algebraic Geometry

Proceedings of the International Workshop held in Luminy, France, June 17-21, 1991

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Springer Berlin Heidelberg

2006

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978-3-540-47267-4

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About ten years ago, V.D. Goppa found a surprisingconnection between the theory of algebraic curves over afinite field and error-correcting codes. The aim of themeeting "Algebraic Geometry and Coding Theory" was to give asurvey on the present state of research in this field andrelated topics. The proceedings contain research papers onseveral aspects of the theory, among them: Codes constructedfrom special curves and from higher-dimensional varieties,Decoding of algebraic geometric codes, Trace codes, Exponen-tial sums, Fast multiplication in finite fields, Asymptoticnumber of points on algebraic curves, Sphere packings.

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