Cover of: Algebraic-geometric codes | M. A. Tsfasman

Algebraic-geometric codes

  • 667 Pages
  • 4.29 MB
  • 7463 Downloads
  • English
by
Kluwer Academic Publishers , Dordrecht, Boston
Coding theory, Geometry, Alge
Statementby M.A. Tsfasman and S.G. Vlăduț.
SeriesMathematics and its applications (Soviet series) ;, v. 58, Mathematics and its applications (Kluwer Academic Publishers)., 58.
ContributionsVlăduț, S. G. 1954-
Classifications
LC ClassificationsQA268 .T75 1991
The Physical Object
Paginationxxiv, 667 p. :
ID Numbers
Open LibraryOL1534364M
ISBN 100792307275
LC Control Number91012192

The book is devoted to the theory of algebraic geometric codes, a subject formed on the border of several domains of mathematics. On one side there are such classical areas as algebraic geometry and number theory; on the other, information transmission theory, combinatorics, finite Cited by:   Algebraic Geometry Codes: Advanced Chapters is devoted to the theory of algebraic geometry codes, a subject related to several domains of mathematics.

Algebraic Geometry Codes: Advanced Chapters is devoted to the theory of algebraic geometry codes, a subject related to several domains of : The theory of algebraic geometry codes is rather involved and deep. To treat algebraic curves (or Algebraic-geometric codes book algebraic function elds of one variable) in a self-contained way, is.

Codes Shelly Manber Linear Codes Algebraic Geometry Codes Example: Hermitian Codes Decoding References Main Source: Stichtenoth, Henning. \Algebraic Function Fields and Codes". Springer, Other Sources: H˝holdt, Lint and Pellikaan.

\Algebraic geometry codes." Handbook of Coding Theory, vol 1, pAmsterdam, Bartley and Walker. "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." Related Work Algebraic geometry codes: basic notions. ISBN (hardcover. 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 Algebraic-geometric codes book.

The book is the natural continuation of Algebraic Geometric. Algebraic, combinatorial, and geometric approaches to coding theory are adopted with the aim of highlighting how coding can have an important real-world impact. Because it carefully balances both theory and applications, this book will be an indispensable resource for readers seeking a timely treatment of error-correcting codes.

Algebraic-Geometric Codes (Mathematics and its Applications) st Edition by M. Tsfasman (Author), S.G.

Details Algebraic-geometric codes FB2

Vladut (Author) ISBN Cited by: "The book is the natural continuation of Algebraic geometric codes: basic notions by the same authors. The concise Algebraic-geometric codes book of the first volume is included as an appendix." Description: x, pages: illustration ; 27 cm: Contents: Chapter 5.

Curves with many points. I: modular curves --Chapter 6. Class field theory --Chapter 7. Curves with. Algebraic Geometry Codes: Advanced Chapters is a sequel to an earlier book by the same authors, Algebraic Geometric Codes: Basic Notions so I will start this review by recalling just a small amount about where that book left off and this one begins.

Algebraic-Geometric Codes. Authors Book. Citations; k Downloads; Part of the Mathematics and Its Applications (Soviet Series) book series (MASS, volume 58) Log in to check access.

Buy eBook. USD Instant download; Readable on all devices; Own it forever Codes. Front Matter. *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works and instructor copies are not included. The book you hold in your hands is devoted to algebraic geometry codes, a com­ paratively young domain which emerged in the early s at the meeting-point of several fields of mathematics.

The book is devoted to the theory of algebraic geometric codes, a subject formed on the border of several domains of mathematics. On one side there are such classical areas as algebraic geometry and number theory; on the other, information transmission theory, combinatorics, finite geometries.

Download Codes And Curves books, This book is based on a series of lectures the author gave as part of the IAS/Park City Mathematics Institute (Utah) program on arithmetic algebraic geometry.

It introduces the reader to the exciting field of algebraic geometric coding 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. ISBN: OCLC Number: Notes: Aus dem Russ. übers. Description: XXIV, Seiten: Diagramme.

Contents: 1. Codes.- Algebraic Geometric Codes: Basic Notions About this Title. Michael Tsfasman, French-Russian Poncelet Laboratory (CNRS and Ind. Univ. Moscow), Moscow, Russia, Serge Vlǎduţ, Institut de Mathématiques de Luminy, Luminy, France and Dmitry Nogin, Institute for Information Transmission Problems, Moscow, Russia.

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Publication: Mathematical Surveys and Monographs. This book is an updated and extended version of the last part of the successful book Error-Correcting Codes and Finite Fields. It provides an elementary introduction to Goppa codes, and includes many examples, calculations, and applications.

This book will look at the other significant non-binary coding schemes, including non-binary block and ring trellis-coded modulation (TCM) codes that perform well in fading conditions without any expansion in bandwidth use, and algebraic-geometric codes which are an extension of Reed-Solomon codes but with better parameters.

The book proposes algebraic-geometric irregular block turbo codes (AG-IBTC) to reduce system complexity. Simulation results for AG-IBTCs are presented for the first time.

GENRE. Michael A. Tsfasman is the author of Algebraic Geometric Codes ( avg rating, 1 rating, 0 reviews, published ), Arithmetic, Geometry, Cryptography 5/5(1).

Algebraic-geometric techniques to construct linear codes can be applied to construct convolutional codes, using algebraic curves over function fields. In this way we construct convolutional Goppa codes and provide a systematic way for constructing convolutional codes with prescribed properties.

algebraic-geometric codes, which we will treat below, decode up to half the designed minimum distance and hav e complexity O (n 3) or less for n → ∞. Whether this is the. Algebraic Geometry In Coding Theory And Cryptography. Download and Read online Algebraic Geometry In Coding Theory And Cryptography ebooks in PDF, epub, Tuebl Mobi, Kindle Book.

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Michael Tsfasman. 01 Oct Hardback. unavailable. Notify me. Algebraic Geometry Codes. Michael A Tsfasman. 21 May Book.

Description Algebraic-geometric codes FB2

unavailable. Notify me. Arithmetic. The book proposes algebraic-geometric irregular block turbo codes (AG-IBTC) to reduce system complexity. Simulation results for AG-IBTCs are presented for the first time. Show all. Algorithms for the shape of semialgebraic sets a new approach.- On the parameters of algebraic geometric codes.- On wiedemann's method of solving sparse linear systems.- Fast algorithms for decoding orthogonal and related codes.- Jacobian matrices and constructions in algebra.- Homogenity, pseudo-homogenity, and Gröbner basis computations.-Price: $ Basic Modern Algebraic Geometry.

This note covers the following topics: Functors, Isomorphic and equivalent categories, Representable functors, Some constructions in the light of representable functors, Schemes: Definition and basic properties, Properties of morphisms of.

Algebraic Geometry Notes I. This note covers the following topics: Hochschild cohomology and group actions, Differential Weil Descent and Differentially Large Fields, Minimum positive entropy of complex Enriques surface automorphisms, Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces, Superstring Field Theory, Superforms and Supergeometry, Picard groups for tropical toric.In this tract, Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first time, the theory of algebraic geometric Goppa codes on algebraic curves.

Among the applications considered are: the problem of counting the number of solutions of equations over finite fields; Bombieri's proof of the Reimann hypothesis for function fields.Book. Algebraic geometric codes. Basic notions. January ; [Show full abstract] algebraic geometric codes are seldom LDPC codes.

Read more. Book. Algebraic Function Fields and Codes.