Introduction to the theory of error-correcting codes

書誌事項

Introduction to the theory of error-correcting codes

Vera Pless

(Wiley-Interscience series in discrete mathematics)

Wiley, c1989

2nd ed

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注記

"A Wiley-Interscience publication."

Bibliography: p. 193-195

Includes index

内容説明・目次

内容説明

An introduction to the theory of error-correction codes, and in particular to linear block codes is provided in this book. It considers such codes as Hamming codes and Golay codes, correction of double errors, use of finite fields, cyclic codes, BCH codes and weight distributions, as well as design of codes. In this second edition, the author includes more material on non-binary code and cyclic codes. In addition some proofs have been simplified and there are many more examples and problems. The text has been aimed at mathematicians, electrical engineers and computer scientists.

目次

  • Useful background
  • a double-error-correcting BCH code and a finite field of 16 elements
  • finite fields
  • cyclic codes
  • the group of a code and quadratic residue (QR) codes
  • Bose-Chaudhuri-Hocquenghem (BCH) codes
  • weight distributions
  • designs
  • some codes are unique.

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