Last edited by Goltigrel
Tuesday, July 14, 2020 | History

5 edition of Algebraic Geometric Codes found in the catalog.

Algebraic Geometric Codes

Basic Notions (Mathematical Surveys and Monographs)

by Michael Tsfasman

  • 363 Want to read
  • 7 Currently reading

Published by American Mathematical Society .
Written in English

    Subjects:
  • Algebraic geometry,
  • Mathematical theory of computation,
  • Mathematics,
  • Computers - General Information,
  • Science/Mathematics,
  • Information Theory,
  • Nonfiction,
  • Advanced,
  • Coding theory,
  • Geometry, Algebraic,
  • Number theory

  • The Physical Object
    FormatHardcover
    Number of Pages338
    ID Numbers
    Open LibraryOL11420280M
    ISBN 100821843060
    ISBN 109780821843062

    Algebraic Geometry, book in progress. This book covers the following topics: Elementary Algebraic Geometry, Dimension, Local Theory, Projective Geometry, Affine Schemes and Schemes in General, Tangent and Normal Bundles, Cohomology, Proper Schemes and Morphisms, Sheaves and Ringed Spaces. NOTES ON ALGEBRAIC GEOMETRIC CODES Introduction The construction, estimation of minimum distance, and decoding algorithms of algebraic geometry codes can be explained without using advanced mathematics by the notion of weight ://

    @MISC{Codes_bookreview, author = {Algebraic-geometric Codes and M. A. Tsfasman and S. G. Vlădut¸. Kluwer Academic}, title = {BOOK REVIEW}, year = {}} Share. OpenURL. Abstract. In the theory of error-correcting codes a code C is a subset of Q n where Q is a finite set called the alphabet. The elements of C are called codewords (or vectors ?doi= We study trace codes induced from codes defined by an algebraic curve X. We determine conditions on X which admit a formula for the dimension of such a trace code. Central to our work are several dimension reducing methods for the underlying functions spaces associated to ://

      Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros.. The fundamental objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of Algebraic function fields provide the most elementary approach to Goppa's ideas, and the second objective of this book is to provide an introduction to Goppa's algebraic-geometric codes ?id=IE73Tew7cTMC.


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Algebraic Geometric Codes by Michael Tsfasman Download PDF EPUB FB2

Algebraic Geometric Codes: Basic Notions Michael Tsfasman Serge Vladut Dmitry Nogin American Mathematical Society. EDITORIAL COMMITTEE both coding specialists and algebraic geometers. The book [TV91] was published in by Kluwer Academic Publishers, and the Russian edition was scheduled and Kluwer Academic Publishers; Philip Drive Assinippi Park Norwell, MA; United States Algebraic-Geometric Codes.

Book. Citations; 6k 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 algebraic curve analog constant Dimension elliptic curve Riemann-Roch :// 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   Algebraic-geometric Codes的话题 (全部 条) 什么是话题 无论是一部作品、一个人,还是一件事,都往往可以衍生出许多不同的话题。将这些话题细分出来,分别进行讨论,会有更多收获 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 ://   to say quotients of polynomials.

We call the above codes algebraic geometry (AG) codes if some theory of the variety Xgives bounds on the dimension of the vector space Land the minimum distance of the code.

The classical example of the above situation is given by Reed-Solomon (RS) codes. Here the geometric object Xis the a ne line over F q, the ~ruudp/paper/pdf.

"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." 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   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, dense packings, ://   This book links two subjects: algebraic geometry and coding theory.

It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil's theorem as well as Goppa' s algebraic-geometric codes and other traditional :// Algebraic-Geometric Codes. Authors: Tsfasman, M., Vladut, S.G.

Free Preview. Buy this book eB89 *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  › Mathematics › Algebra.

This is a self-contained introduction to algebraic curves over finite fields and geometric Goppa codes. There are four main divisions in the book. The first is a brief exposition of basic concepts and facts of the theory of error-correcting codes (Part I) › Books › Computers & Technology › Programming.

Destination page number Search scope Search Text Search scope Search Text Algebraic-Geometric Codes (Mathematics and its Applications) st Edition by M. Tsfasman (Author), S.G.

Vladut (Author) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book.

› Books › Computers & Technology › Programming. Goppa, Codes on algebraic curves, Dokl. Nauk SSSR. Goppa, Geometry and codes. Translated from the Russian by N. Guruswami and M.

Guruswami and A. More about this book. Patthak, Correlated algebraic-geometric codes: improved list decoding over bounded alphabets, :// 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 :// codes and algebraic curves Download codes and algebraic curves or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get codes and algebraic curves book now.

This site is like a library, Use search box in the widget to get ebook that you :// Get this from a library. Algebraic geometric codes: basic notions. [M A Tsfasman; S G Vlăduț; Dmitry Nogin] -- "Whereas most books on coding theory build up coding theory from within, starting from elementary concepts and almost always finishing without reaching a certain depth, this book Additional Sources for Math Book Reviews; About MAA Reviews; Mathematical Communication; Information for Libraries; Author Resources; Advertise with MAA; Meetings.

MAA MathFest. Exhibitor Prospectus; Calendar of Events. Future Meetings; MAA Distinguished Lecture Series; Joint Mathematics Meetings; Propose a Session. Proposal and Abstract cient to understand the papers concerning the decoding of algebraic-geometric codes.

A standard reference of algebraic geometry for mathematicians is Hartshorne [40]. Ab-hyankar [2] is written for engineers. For a deeper understanding of modular curves and their codes we mention the book of Tsfasman and Vl˘adut¸ []. For ?doi=&rep=rep1&type=pdf.

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 ://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 /_On_the_Decoding_of_Algebraic-Geometric_Codes.NOTES ON ALGEBRAIC GEOMETRIC CODES Introduction. Currently this section contains no detailed description for the page, will update this page soon.

Similar Books. Foundations Of Algebraic Geometry. This book is intended to give a serious and reasonably complete introduction to algebraic geometry, not just for experts in the field.

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