Coding Theory and Algebraic Geometry: Proceedings of the International Workshop held in Luminy, France, June 17-21, 1991 (Lecture Notes in Mathematics)



  • ISBN:
  • 3540556516

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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Tag Cloud / Keywords

algebraic, codes, theory, curves, research, field, proceedings, geometry, coding, finite, field and, algebraic curves, the theory, algebraic geometry, coding theory, higher dimensional varieties, dimensional varieties decoding, algebraic geometric codes, geometric codes trace, from higher dimensional, and from higher, codes constructed from,