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Algebraic-Geometric Codes

  • Book
  • © 1991

Overview

Authors:
  1. M. A. Tsfasman

    1. Institute of Information Transmission, Academy of Sciences, Moscow, U.S.S.R.

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  2. S. G. Vlăduţ

    1. Central Economical Mathematical Institute, Academy of Sciences, Moscow, U.S.S.R.

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and its Applications (MASS, volume 58)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-xxiv
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  2. Codes

    1. Front Matter

      Pages 1-4
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    2. Codes and Their Parameters

      • M. A. Tsfasman, S. G. Vlăduţ
      Pages 5-35

    3. Examples and Constructions

      • M. A. Tsfasman, S. G. Vlăduţ
      Pages 37-65

    4. Asymptotic Problems

      • M. A. Tsfasman, S. G. Vlăduţ
      Pages 67-91

  3. Back Matter

    Pages 92-94
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  4. Curves

    1. Front Matter

      Pages 95-100
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    2. Algebraic Curves

      • M. A. Tsfasman, S. G. Vlăduţ
      Pages 101-139

    3. Riemann-Roch Theorem

      • M. A. Tsfasman, S. G. Vlăduţ
      Pages 141-167

    4. Rational Points

      • M. A. Tsfasman, S. G. Vlăduţ
      Pages 169-190

    5. Elliptic Curves

      • M. A. Tsfasman, S. G. Vlăduţ
      Pages 191-213

    6. Singular Curves

      • M. A. Tsfasman, S. G. Vlăduţ
      Pages 215-232

    7. Reductions and Schemes

      • M. A. Tsfasman, S. G. Vlăduţ
      Pages 233-255

  5. Back Matter

    Pages 256-259
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  6. AG-Codes

    1. Front Matter

      Pages 261-264
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    2. Constructions and Properties

      • M. A. Tsfasman, S. G. Vlăduţ
      Pages 265-296

    3. Examples

      • M. A. Tsfasman, S. G. Vlăduţ
      Pages 297-329

    4. Decoding

      • M. A. Tsfasman, S. G. Vlăduţ
      Pages 331-347

    5. Asymptotic Results

      • M. A. Tsfasman, S. G. Vlăduţ
      Pages 349-385

  7. Back Matter

    Pages 386-388
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Keywords

Authors and Affiliations

  • Institute of Information Transmission, Academy of Sciences, Moscow, U.S.S.R.

    M. A. Tsfasman

  • Central Economical Mathematical Institute, Academy of Sciences, Moscow, U.S.S.R.

    S. G. Vlăduţ

Bibliographic Information

  • Book Title: Algebraic-Geometric Codes

  • Authors: M. A. Tsfasman, S. G. Vlăduţ

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-011-3810-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers and Copyright Holders 1991

  • Hardcover ISBN: 978-0-7923-0727-3Published: 30 April 1991

  • Softcover ISBN: 978-1-4020-0335-6Published: 30 November 2001

  • eBook ISBN: 978-94-011-3810-9Published: 01 December 2013

  • Series ISSN: 0169-6378

  • Edition Number: 1

  • Number of Pages: XXIV, 667

  • Topics: Algebraic Geometry, Number Theory, Electrical Engineering, Theory of Computation

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