Introduction to Coding Theory and Algebraic Geometry
β Scribed by Jacobus H. van Lint, Gerard van der Geer (auth.)
- Publisher
- BirkhΓ€user Basel
- Year
- 1988
- Tongue
- English
- Leaves
- 81
- Series
- DMV Seminar 12
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages 1-7
Front Matter....Pages 9-9
Finite fields....Pages 11-12
Error-correcting codes....Pages 13-14
Linear codes....Pages 15-16
Cyclic codes....Pages 17-21
Classical Goppa codes....Pages 22-24
Bounds on codes....Pages 25-27
Self-dual codes....Pages 28-29
Codes from curves....Pages 30-32
Back Matter....Pages 33-33
Front Matter....Pages 35-35
Introduction....Pages 36-36
Elementary concepts from algebraic geometry....Pages 37-44
Divisors on algebraic curves....Pages 45-54
Goppa Codes....Pages 55-65
Counting points on curves over finite fields....Pages 66-72
Shimura curves and codes....Pages 73-81
Back Matter....Pages 82-85
β¦ Subjects
Science, general
π SIMILAR VOLUMES
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
<span>βAn Introduction to Algebraic and Combinatorial Coding Theoryβ is a comprehensive book that offers a thorough exploration of the principles and techniques of coding theory. It serves as a valuable resource for readers interested in gaining a deeper understanding of error detection and correcti