Codes and cryptography

Bibliographic Information

Codes and cryptography

Dominic Welsh

Clarendon Press , Oxford University Press, 1988

  • : pbk

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Note

Bibliography: p. [243]-252

Includes index

Description and Table of Contents
Volume

: pbk ISBN 9780198532873

Description

This textbook unifies the concepts of information, codes and cryptography as first considered by Shannon in his seminal papers on communication and secrecy systems. The book has been the basis of a very popular course in Communication Theory which the author has given over several years to undergraduate mathematicians and computer scientists at Oxford. The first five chapters of the book cover the fundamental ideas of information theory, compact encoding of messages, and an introduction to the theory of error-correcting codes. After a discussion of mathematical models of English, there is an introduction to the classical Shannon model of cryptography. This is followed by a brief survey of those aspects of computational complexity needed for an understanding of modern cryptography, password systems and authentication techniques. Because the aim of the text is to make this exciting branch of modern applied mathematics available to readers with a wide variety of interests and backgrounds, the mathematical prerequisites have been kept to an absolute minimum. In addition to an extensive bibliography there are many exercises (easy) and problems together with solutions.

Table of Contents

  • Entropy=Uncertainty=Information
  • The noiseless coding theorem for memoryless sources
  • Communication through noisy channels
  • Error-correcting codes
  • General sources
  • The structure of natural languages
  • Cryptosystems
  • The one-time pad and linear shift-register sequences
  • Computational complexity
  • One-way functions
  • Public key cryptosystems
  • Authentication and digital signatures
  • Randomized encryption
  • Appendices
  • Answers to exercises
  • Answers and hints to problems
  • References
  • Index.
Volume

ISBN 9780198532880

Description

This textbook forms an introduction to codes, cryptography and information theory as it has developed since Shannon's original papers. The first part of the book develops the fundamental ideas of information theory, efficient encoding of messages, and error-correcting codes. In later chapters, the author discusses mathematical models of natural languages and the classic Shannon model of cryptography, before surveying computational complexity and the modern cryptographic methods such as public-key cryptography, password systems and authentication techniques. The book is based on courses given to undergraduate mathematicians and computer scientists at the University of Oxford and contains exercises and solutions.

Table of Contents

  • Entropy = uncertainty = information
  • the noiseless coding theorem for memoryless sources
  • communication through noisy channels
  • error-correcting codes
  • general sources
  • the structure of natural languages
  • cryptosystems
  • the one-time pad and linear shift register sequences
  • computational complexity
  • one-way functions
  • public key cryptosystems
  • authentication and digital signatures
  • randomised encryption. Appendices. Answers to exercises. Hints to solutions of problems. References. Index.

by "Nielsen BookData"

Details
  • NCID
    BA04058899
  • ISBN
    • 0198532881
    • 9780198532873
  • LCCN
    87031354
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Oxford [Oxfordshire],New York
  • Pages/Volumes
    ix, 257 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
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