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  • © 1991

Algebraic-Geometric Codes

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
  2. Codes

    1. Front Matter

      Pages 1-4
    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
  4. Curves

    1. Front Matter

      Pages 95-100
    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
  6. AG-Codes

    1. Front Matter

      Pages 261-264
    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

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

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access