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Mathematical Surveys and Monographs
Volume: 238; 2019; 453 pp; Hardcover
MSC: Primary 14; 94; 11;

Print ISBN: 978-1-4704-4865-3
Product Code: SURV/238
List Price: $129.00
AMS Member Price: $103.20
MAA Member Price: $116.10

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Electronic ISBN: 978-1-4704-5263-6
Product Code: SURV/238.E
List Price: $129.00
AMS Member Price: $103.20
MAA Member Price: $116.10

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Algebraic Geometry Codes: Advanced Chapters

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Michael Tsfasman; Serge Vlǎduţ; Dmitry Nogin

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.

Readership

Graduate students and researchers interested in algebraic geometry of curves and applications to coding theory.

Algebraic Geometry Codes: Advanced Chapters

Base Product Code Keyword List: surv; SURV; surv/238; SURV/238; surv-238; SURV-238

Print Product Code: SURV/238

Online Product Code: SURV/238.E

Title (HTML): Algebraic Geometry Codes: Advanced Chapters

Author(s) (Product display): Michael Tsfasman; Serge Vlǎduţ; Dmitry Nogin

Affiliation(s) (HTML): CNRS, Laboratoire de Mathématiques de Versailles, Versailles, France and Institute for Information Transmission Problems, Moscow, Russia and Independent University of Moscow, Moscow, Russia; Aix Marseille Université, Marseille, France and Institute for Information Transmission Problems, Moscow, Russia; Institute for Information Transmission Problems, Moscow, Russia

Abstract:

Book Series Name: Mathematical Surveys and Monographs

Volume: 238

Publication Month and Year: 2019-07-02

Page Count: 453

Cover Type: Hardcover

Print ISBN-13: 978-1-4704-4865-3

Online ISBN 13: 978-1-4704-5263-6

Print ISSN: 0076-5376

Online ISSN: 0076-5376

Primary MSC: 14; 94; 11

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Applied Math?: true

MAA Book?: false

Inquiry Based Learning?: false

Home Page?: false

Featured?: false

Sample?: false

Reference?: false

Electronic Media?: false

Apparel or Gift: false

Notices New Pub?: false

SXG Subject: AA; AP

Supplemental Materials (URL at AMS): https://www.ams.org/bookpages/surv-238

Online Price 1 Label: List

Online Price 1: 129.00

Print Price 1 Label: List

Print Price 1: 129.00

Online Price 2 Label: AMS Member

Online Price 2: 103.20

Print Price 2 Label: AMS Member

Print Price 2: 103.20

Online Price 3 Label: MAA Member

Online Price 3: 116.10

Print Price 3 Label: MAA Member

Print Price 3: 116.10

Bundle Price 1 Label: List

Bundlel Price 1: 193.50

Bundle Price 2 Label: AMS Member

Bundle Price 2: 154.80

Bundle Price 3: 174.15

Bundle Price 3 Label: MAA Member

Print Add to Cart URL: /some/url/at/AMS/SURV-238

Electronic Add to Cart URL: /some/url/at/AMS/SURV-238.E

Print Available to Order: true

Review Copy: https://www.ams.org/exam-desk-review-request?&eisbn=978-1-4704-5263-6&pisbn=978-1-4704-4865-3&epc=SURV/238.E&ppc=SURV/238&title=Algebraic%20Geometry%20Codes%3A%20Advanced%20Chapters&author=Michael%20Tsfasman%3B%20Serge%20Vladut%3B%20Dmitry%20Nogin&type=R

Readership:

Graduate students and researchers interested in algebraic geometry of curves and applications to coding theory.

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Algebraic Geometry Codes: Advanced Chapters

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