Codes and Cryptography

ISBN-13: 9780198532873 / Angielski / Miękka / 1988 / 272 str.

Dominic Welsh

Opis

This text unifies the concepts of information, codes and cryptography as first studied by Shannon in his seminal papers on communication and secrecy systems. The first five chapters cover the fundamental ideas of information theory, compact encoding of messages and 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 cryptographic methods and the recent advances in public key 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 variety of interests and backgrounds, the mathematical prerequisites have been kept to an absolute minimum. Problems and solutions are included.

Recenzje

' an exciting introduction to codes and cryptography,but also manages to provide clear introductory accounts to a number of vitally important and closely related mathematical topics the most significant of which is computational complexity...It is surprising that a book can contain such a high rate of information per page and still be readable...This excellent book can be strongly recommended to anyone with the appropriate mathematical background.'Times Higher Education Supplement

Spis treści

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.