The theory of error-correcting codes

著者

• MacWilliams, F. J.
• Sloane, Neil James Alexander

書誌事項

The theory of error-correcting codes

F.J. MacWilliams, N.J.A. Sloane

（North-Holland mathematical library, v. 16）

North-Holland Pub. Co , Sole distributors for the U.S.A. and Canada, Elsevier/North-Holland, 1977

• : pbk

注記

Appended "Preface to the third printing" pages from the third printing, 1981

Bibliography: p. [703]-755

Includes index

Some copies have different pagination: xviii, 762 p.

内容説明・目次

目次

Linear Codes. Nonlinear Codes, Hadamard Matrices, Designs and the Golay Code. An Introduction to BCH Codes and Finite Fields. Finite Fields. Dual Codes and Their Weight Distribution. Codes, Designs and Perfect Codes. Cyclic Codes. Cyclic Codes: Idempotents and Mattson-Solomon Polynomials. BCH Codes. Reed-Solomon and Justesen Codes. MDS Codes. Alternant, Goppa and Other Generalized BCH Codes. Reed-Muller Codes. First-Order Reed-Muller Codes. Second-Order Reed-Muller, Kerdock and Preparata Codes. Quadratic-Residue Codes. Bounds on the Size of a Code. Methods for Combining Codes. Self-dual Codes and Invariant Theory. The Golay Codes. Association Schemes. Appendix A. Tables of the Best Codes Known. Appendix B. Finite Geometries. Bibliography. Index.

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詳細情報

• NII書誌ID(NCID): BA00559848
• ISBN:
  • 9780444851932
  • 9780444564016
• LCCN: 76041296
• 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 ; New York,New York
• ページ数/冊数: xx, 762 p.
• 大きさ: 23 cm
• 分類:
  • LCC : QA268
  • DC : 519.4
  • NDC8 : 417
• 件名:
  • LCSH : Error-correcting codes (Information theory)
• 親書誌ID:
  • BA00018746