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  3. Algebraic Codes on Lines, Planes, and Curves
  • Cited by 25
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    • Publisher:
      Cambridge University Press
      Publication date:
      October 2009
      April 2008
      ISBN:
      9780511543401
      9780521771948
      DOI:
      https://doi.org/10.1017/CBO9780511543401
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      1.25kg, 576 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics, Communications and Signal Processing, Engineering, Discrete Mathematics Information Theory and Coding
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    Subjects:
    Mathematics, Communications and Signal Processing, Engineering, Discrete Mathematics Information Theory and Coding
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    Book description

    The past few years have witnessed significant developments in algebraic coding theory. This book provides an advanced treatment of the subject from an engineering perspective, covering the basic principles and their application in communications and signal processing. Emphasis is on codes defined on the line, on the plane, and on curves, with the core ideas presented using commutative algebra and computational algebraic geometry made accessible using the Fourier transform. Starting with codes defined on a line, a background framework is established upon which the later chapters concerning codes on planes, and on curves, are developed. The decoding algorithms are developed using the standard engineering approach applied to those of Reed-Solomon codes, enabling them to be evaluated against practical applications. Integrating recent developments in the field into the classical treatment of algebraic coding, this is an invaluable resource for graduate students and researchers in telecommunications and applied mathematics.

    Reviews

    "... a rich, detailed, but fundamentally elementary take on material previously available only to specialists... will be valuable for academic libraries."
    D.V. Feldman, University of New Hampshire for Choice Magazine

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