Description: Algebraic Geometry Codes: Advanced Chapters is devoted to the theory of algebraic geometry codes, a subject related to several domains of mathematics. On one hand, it involves such classical areas as algebraic geometry and number theory; on the other, it is connected to information transmission theory, combinatorics, finite geometries, dense packings, and so on. The book gives a unique perspective on the subject. Whereas most books on coding theory start with elementary concepts and then develop them in the framework of coding theory itself within, this book systematically presents meaningful and important connections of coding theory with algebraic geometry and number theory. Among many topics treated in the book, the following should be mentioned: curves with many points over finite fields, class field theory, asymptotic theory of global fields, decoding, sphere packing, codes from multi-dimensional varieties, and applications of algebraic geometry codes.The book is the natural continuation of Algebraic Geometric Codes: Basic Notions by the same authors. The concise exposition of the first volume is included as an appendix.
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EAN: 9781470448653
UPC: 9781470448653
ISBN: 9781470448653
MPN: N/A
Book Title: Algebraic Geometry Codes: Advanced Chapters (Mathe
Item Length: 25.4 cm
Item Weight: 1.01 kg
Item Height: 254 mm
Item Width: 178 mm
Author: Serge Vladut, Michael Tsfasman, Dmitry Nogin
Publication Name: Algebraic Geometry Codes: Advanced Chapters
Format: Hardcover
Language: English
Publisher: American Mathematical Society
Subject: Mathematics
Publication Year: 2019
Type: Textbook
Number of Pages: 459 Pages
