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

**Categories:**Science > Chemistry, Computers > Artificial Intelligence, Mathematics > Algebra, Mathematics > Geometry, Technology & Engineering > Engineering (General)

**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.