Coding theory and algebraic geometry
Subtitle: proceedings of the international workshop held in Luminy, France, June 17-21, 1991
By: H. Stichtenoth, M.A. Tsfasman (eds.).
Contributors: Stichtenoth, H. 1944-; Tsfasman, M. A. 1954-
Series: Lecture notes in mathematics ;; 1518; Lecture notes in mathematics (Springer-Verlag) ;; 1518.
Publisher: Springer-Verlag; Springer
Published: 1992
Place of publication: Berlin; New York
Language: eng
Number of pages: 223
Subjects: Coding theory -- Congresses.; Geometry, Algebraic -- Congresses.
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.
Notes: Includes bibliographical references.