Algebraic codes on lines, planes, and curves
著者
書誌事項
Algebraic codes on lines, planes, and curves
Cambridge University Press, 2008
- : hardback
- タイトル別名
-
Algebraic codes on lines, planes, and curves : an engineering approach
大学図書館所蔵 全19件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
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  オランダ
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注記
Includes bibliographical references (p. [525]-533) and index
内容説明・目次
内容説明
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.
目次
- 1. Sequences and the one-dimensional Fourier transform
- 2. The Fourier transform and cyclic codes
- 3. The many decoding algorithms for Reed-Solomon codes
- 4. Within or beyond the packing radius
- 5. Arrays and the two-dimensional Fourier transform
- 6. The Fourier transform and bicyclic codes
- 7. Arrays and the algebra of bivariate polynomials
- 8. Computation of minimal bases
- 9. Curves, surfaces, and vector spaces
- 10. Codes on curves and surfaces
- 11. Other representations of codes on curves
- 12. The many decoding algorithms for codes on curves.
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