"Advances in Algebraic Geometry Codes" presents the most successful applications of algebraic geometry to the field of error-correcting codes, which are used in the industry when one sends information through a noisy channel. The noise in a channel is the corruption of a part of the information due
Algebraic geometry codes : advanced chapters
โ Scribed by Michael A. Tsfasman
- Year
- 2019
- Tongue
- English
- Leaves
- 466
- Series
- Mathematical surveys and monographs
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Cover
Contents
Preface
Curves with Many Points. I: Modular Curves
Class Field Theory
Curves with Many Points. II
Infinite Global Fields
Decoding: Some Examples
Sphere Packings
Codes from Multidimensional Varieties
Applications
Some Basic Facts from Volume 1
Bibliography
List of Names
Index
๐ SIMILAR VOLUMES
Advances in Algebraic Geometry Codes
1. Codes.- 1.1. Codes and their parameters.- 1.2. Examples and constructions.- 1.3. Asymptotic problems.- 2. Curves.- 2.1. Algebraic curves.- 2.2. Riemann-Roch theorem.- 2.3. Rational points.- 2.4. Elliptic curves.- 2.5. Singular curves.- 2.6. Reductions and schemes.- 3. AG-Codes.- 3.1. Construction
'Et moi, ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- sense'. The series is divergent; therefo
The workshop "Algebraic Geometry and Coding Theory - 3" organized by the Institute of Information Transmission (Moscow), University of Essen, Equipe Arithmetique et Theorie de Tlnformation de C.N.R.S. (Marseille-Luminy), and Group d'Etude du Codage de Toulon took place in the Centre International de