Coding Theory and Algebraic Geometry: Proceedings of the International Workshop held in Luminy, France, June 17-21, 1991 (Lecture Notes in Mathematics) (by Michael A. Tsfasman, Henning Stichtenoth)


Author(s): Michael A. Tsfasman, Henning Stichtenoth

Publisher: Springer
Publish date: 1992-09-10
ISBN-10: 3540556516
ISBN-13: 9783540556510
Language: English
Description: 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.

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