MTU Library Catalogue

Syndetics cover image
Image from Syndetics

Introduction to the theory of error-correcting codes / Vera Pless.

By: Pless, Vera.
Material type: materialTypeLabelBookSeries: Wiley-Interscience series in discrete mathematics and optimization: Publisher: New York : Wiley, 1998Edition: 3rd ed.Description: xii, 207 p. : ill. ; 24 cm.ISBN: 0471190470 .Subject(s): Error-correcting codes (Information theory)DDC classification: 005.72
Contents:
Introductory Concepts -- Useful Background -- A Double-Error-Correcting BCH Code and a Finite Field of 16 elements -- Finite Fields -- Cyclic Codes -- Group of a Code and Quadratic Residue (QR) Codes -- Bose-Chaudhuri-Hocquenghem (BCH) Codes -- Weight Distributions -- Designs and Games -- Some Codes are unique.
Summary: A complete introduction to the many mathematical tools used to solve practical problems in coding. Mathematicians have been fascinated with the theory of error-correcting codes since the publication of Shannon's classic papers fifty years ago. With the proliferation of communications systems, computers, and digital audio devices that employ error-correcting codes, the theory has taken on practical importance in the solution of coding problems. This solution process requires the use of a wide variety of mathematical tools and an understanding of how to find mathematical techniques to solve applied problems. Introduction to the Theory of Error-Correcting Codes, Third Edition demonstrates this process and prepares students to cope with coding problems. Like its predecessor, which was awarded a three-star rating by the Mathematical Association of America, this updated and expanded edition gives readers a firm grasp of the timeless fundamentals of coding as well as the latest theoretical advances. This new edition features: * A greater emphasis on nonlinear binary codes * An exciting new discussion on the relationship between codes and combinatorial games * Updated and expanded sections on the Vashamov-Gilbert bound, van Lint-Wilson bound, BCH codes, and Reed-Muller codes * Expanded and updated problem sets. Introduction to the Theory of Error-Correcting Codes.
Holdings
Item type Current library Call number Copy number Status Barcode
General lending MTU Bishopstown Library Lending 005.72 (Browse shelf(Opens below)) 1 Available 00163805
Total holds: 0

Enhanced descriptions from Syndetics:

A complete introduction to the many mathematical tools used to solve practical problems in coding.

Mathematicians have been fascinated with the theory of error-correcting codes since the publication of Shannon's classic papers fifty years ago. With the proliferation of communications systems, computers, and digital audio devices that employ error-correcting codes, the theory has taken on practical importance in the solution of coding problems. This solution process requires the use of a wide variety of mathematical tools and an understanding of how to find mathematical techniques to solve applied problems.

Introduction to the Theory of Error-Correcting Codes, Third Edition demonstrates this process and prepares students to cope with coding problems. Like its predecessor, which was awarded a three-star rating by the Mathematical Association of America, this updated and expanded edition gives readers a firm grasp of the timeless fundamentals of coding as well as the latest theoretical advances. This new edition features:
* A greater emphasis on nonlinear binary codes
* An exciting new discussion on the relationship between codes and combinatorial games
* Updated and expanded sections on the Vashamov-Gilbert bound, van Lint-Wilson bound, BCH codes, and Reed-Muller codes
* Expanded and updated problem sets.

Introduction to the Theory of Error-Correcting Codes, Third Edition is the ideal textbook for senior-undergraduate and first-year graduate courses on error-correcting codes in mathematics, computer science, and electrical engineering.

A Wiley-Interscience publication.

Includes bibliographical references (pages 199-202) and index.

Introductory Concepts -- Useful Background -- A Double-Error-Correcting BCH Code and a Finite Field of 16 elements -- Finite Fields -- Cyclic Codes -- Group of a Code and Quadratic Residue (QR) Codes -- Bose-Chaudhuri-Hocquenghem (BCH) Codes -- Weight Distributions -- Designs and Games -- Some Codes are unique.

A complete introduction to the many mathematical tools used to solve practical problems in coding. Mathematicians have been fascinated with the theory of error-correcting codes since the publication of Shannon's classic papers fifty years ago. With the proliferation of communications systems, computers, and digital audio devices that employ error-correcting codes, the theory has taken on practical importance in the solution of coding problems. This solution process requires the use of a wide variety of mathematical tools and an understanding of how to find mathematical techniques to solve applied problems. Introduction to the Theory of Error-Correcting Codes, Third Edition demonstrates this process and prepares students to cope with coding problems. Like its predecessor, which was awarded a three-star rating by the Mathematical Association of America, this updated and expanded edition gives readers a firm grasp of the timeless fundamentals of coding as well as the latest theoretical advances. This new edition features: * A greater emphasis on nonlinear binary codes * An exciting new discussion on the relationship between codes and combinatorial games * Updated and expanded sections on the Vashamov-Gilbert bound, van Lint-Wilson bound, BCH codes, and Reed-Muller codes * Expanded and updated problem sets. Introduction to the Theory of Error-Correcting Codes.

CIT Module MATH 7011 - Supplementary reading

Table of contents provided by Syndetics

  • Introductory Concepts
  • Useful Background
  • A Double-Error-Correcting BCH Code and a Finite Field of 16 Elements
  • Finite Fields
  • Cyclic Codes
  • Group of a Code and Quadratic Residue (QR) Codes
  • Bose-Chaudhuri-Hocquenghem (BCH) Codes
  • Weight Distributions
  • Designs and Games
  • Some Codes Are Unique
  • Appendix
  • References
  • Index

Author notes provided by Syndetics

VERA PLESS is Professor of Mathematics and Computer Science and a University Scholar at the University of Illinois at Chicago. Professor Pless holds a PhD in mathematics from Northwestern University.