Coding Theory and Algebraic Geometry : Proceedings of the International Workshop held in Luminy France June 17–21 1991 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