MTU Cork Library Catalogue

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A first course in coding theory / Raymond Hill.

By: Hill, Raymond, 1942- [author].
Material type: materialTypeLabelBookSeries: Oxford applied mathematics and computing science series: Oxford : Clarendon, [1986] ©1986Description: xii, 251 pages : illustrations ; 23 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9780198538035 (paperback); 0198538030 (paperback).Subject(s): Error-correcting codes (Information theory)DDC classification: 003.54
Contents:
Introduction to error correcting codes -- The main coding theory problem -- An introduction to finite fields -- Vector spaces over finite fields -- Introduction to linear codes -- Encoding and decoding with a linear code -- The dual code the parity check matrix and syndrome decoding -- The hamming codes -- Perfect codes -- Codes and latin squares -- A double error correcting decimal code and an introduction to BCH codes -- Cyclic codes -- Weight enumerators -- The main linear coding theory problem -- MDS codes -- Concluding remarks, related topics and further reading.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
General Lending MTU Bishopstown Library Store Item 003.54 (Browse shelf(Opens below)) 1 Available 00012027
General Lending MTU Bishopstown Library Store Item 003.54 (Browse shelf(Opens below)) 1 Available 00038505
General Lending MTU Bishopstown Library Store Item 003.54 (Browse shelf(Opens below)) 1 Available 00038509
Total holds: 0

Enhanced descriptions from Syndetics:

Algebraic coding theory is a new and rapidly developing subject, popular for its many practical applications and for its fascinatingly rich mathematical structure. This book provides an elementary yet rigorous introduction to the theory of error-correcting codes. Based on courses given by the author over several years to advanced undergraduates and first-year graduated students, this guide includes a large number of exercises, all with solutions, making the book highly suitable for individual study.

Bibliography: p. 243-248. - Includes index.

Introduction to error correcting codes -- The main coding theory problem -- An introduction to finite fields -- Vector spaces over finite fields -- Introduction to linear codes -- Encoding and decoding with a linear code -- The dual code the parity check matrix and syndrome decoding -- The hamming codes -- Perfect codes -- Codes and latin squares -- A double error correcting decimal code and an introduction to BCH codes -- Cyclic codes -- Weight enumerators -- The main linear coding theory problem -- MDS codes -- Concluding remarks, related topics and further reading.

CIT Module Math 8002 - Supplementary reading

Table of contents provided by Syndetics

  • 1 Introduction to Error-Correcting Codes
  • 2 The Main Coding Theory Problem
  • 3 An Introduction to Finite Fields
  • 4 Vector Spaces over Finited Fields
  • 5 Introduction to Linear Codes
  • 6 Encoding and Decoding with a Linear Code
  • 7 The Dual Code, the Parity-Check Matrix, and Syndrome Decoding
  • 8 The Hamming Codes
  • 9 Perfect Codes
  • 10 Codes and Latin Squares
  • 11 A Double-Error Correcting Decimal Code and an Introduction to BCH Codes
  • 12 Cyclic Codes
  • 13 Weight Enumerators
  • 14 The Main Linear Coding Theory Problem
  • 15 MDS Codes
  • 16 Concluding Remarks, Related Topics, and Further Reading
  • 17 Solutions to Exercises

Author notes provided by Syndetics

Raymond Hill is at University of Salford.

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