Codes and cryptography

著者

• Welsh, D. J. A

書誌事項

Codes and cryptography

Dominic Welsh

Clarendon Press , Oxford University Press, 1988

• : pbk

注記

Bibliography: p. [243]-252

Includes index

内容説明・目次

巻冊次

: pbk ISBN 9780198532873

内容説明

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.

目次

• 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.

巻冊次

ISBN 9780198532880

内容説明

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.

目次

• 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA04058899
• ISBN:
  • 0198532881
  • 9780198532873
• LCCN: 87031354
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Oxford [Oxfordshire],New York
• ページ数/冊数: ix, 257 p.
• 大きさ: 24 cm
• 分類:
  • LCC : Z103
  • DC19 : 652/.8
• 件名:
  • LCSH : Ciphers
  • LCSH : Cryptography