書誌事項

Handbook of coding theory

editors, V.S. Pless, W.C. Huffman ; R.A. Brualdi (assistant editor)

Elsevier, 1998

  • : set of vol. 1 and 2
  • vol. 1
  • vol. 2

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注記

Includes bibliographical references and indexes

内容説明・目次

巻冊次

vol. 2 ISBN 9780444500878

内容説明

The second volume of this work contains Parts 2 and 3 of the "Handbook of Coding Theory". Part 2, "Connections", is devoted to connections between coding theory and other branches of mathematics and computer science. Part 3, "Applications", deals with a variety of applications for coding.

目次

Preface. List of Contributors. Codes and number theories (I. Honkala, A. Tietavainen). Coding theory at work in cryptology and vice versa (H.C.A. van Tilborg). Codes and designs (V.D. Tonchev). Ploynomial codes and finite geometries (E.F. Assmus Jr., J.D. Key). Codes and groups (W.C. Huffman). Codes and association schemes: Basic properties of association schemes relevant to coding (P. Camion). Decoding of cyclic codes and codes on curves (R.E. Blahur). Contrained systems and coding for recording channels (B.H. Marcus, R.M. Roth, P.H. Siegel). Sequences with low correlation (T. Helleseth, P. Vijay Kumar). Array codes (M. Blaum, P.G. Farrell, H.C.A. van Tilborg). Concatenated codes and their multilevel generalizations (I. Dumer). Trellis structure of codes (A. Vardy). Deep space applications (S. Wicker). Author index. Subject index.
巻冊次

: set of vol. 1 and 2 ISBN 9780444500885

内容説明

Volume 1, "Algebraic Coding", deals with the algebraic structure of error correcting codes. Volume 2, "Connections/Applications" covers links between coding theory and other branches of mathematics and computer science and describes a variety of uses for coding.
巻冊次

vol. 1 ISBN 9780444814722

内容説明

This work is divided into three parts, the first part comprising Volume 1 and the remaining two parts Volume 2. Part 1, "Algebraic Coding", deals primarily with the algebraic structure of error correcting codes.

目次

Preface. List of Contributors. An introduction to algebraic codes (V.S. Pless, W.C. Huffman, R.A. Brualdi). Coding constructions (V.S. Pless). Self-dual codes (E.M. Rains, N.J.A. Sloane). Bounds on the size of linear codes (A.E. Brouwer). An updated table of the best binary codes known (S. Litsyn). Universal bounds for codes and designs (V.I. Levenshtein). Complexity issues in coding theory (A. Barg). Covering radius (R.A. Brualdi, S. Litsyn, V.S. Pless). Quadratic residue codes and divisibility (H.N. Ward). Algebraic geometry codes (T. Hoholdt, J.H. van Lint, R. Pellikaan). Open problems on cyclic codes (P. Charpin). The algebraic theory of concolutional codes (R.J. McEliece). Author index. Subject index.

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詳細情報

  • NII書誌ID(NCID)
    BA39279817
  • ISBN
    • 044450088X
    • 0444814728
    • 0444500871
  • LCCN
    98044056
  • 出版国コード
    ne
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Amsterdam ; Tokyo
  • ページ数/冊数
    v.
  • 大きさ
    25 cm
  • 分類
  • 件名
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