An Introduction to Cryptography

An Introduction to Cryptography

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Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition provides a solid foundation in cryptographic concepts that features all of the requisite background material on number theory and algorithmic complexity as well as a historical look at the field. With numerous additions and restructured material, this edition presents the ideas behind cryptography and the applications of the subject. The first chapter provides a thorough treatment of the mathematics necessary to understand cryptography, including number theory and complexity, while the second chapter discusses cryptographic fundamentals, such as ciphers, linear feedback shift registers, modes of operation, and attacks. The next several chapters discuss DES, AES, public-key cryptography, primality testing, and various factoring methods, from classical to elliptical curves. The final chapters are comprised of issues pertaining to the Internet, such as pretty good privacy (PGP), protocol layers, firewalls, and cookies, as well as applications, including login and network security, viruses, smart cards, and biometrics. The book concludes with appendices on mathematical data, computer arithmetic, the Rijndael S-Box, knapsack ciphers, the Silver-Pohlig-Hellman algorithm, the SHA-1 algorithm, radix-64 encoding, and quantum cryptography. New to the Second Edition: * An introductory chapter that provides more information on mathematical facts and complexity theory * Expanded and updated exercises sets, including some routine exercises * More information on primality testing and cryptanalysis Accessible and logically organized, An Introduction to Cryptography, Second Edition is the essential book on the fundamentals of cryptography.show more

Product details

  • Hardback | 413 pages
  • 160 x 236.2 x 27.9mm | 498.96g
  • Taylor & Francis Ltd
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • Revised
  • 2nd Revised edition
  • 41 black & white illustrations
  • 1584886188
  • 9781584886181
  • 985,416

Table of contents

Preface MATHEMATICAL BASICS Divisibility Primes, Primality Testing, and Induction An Introduction to Congruences Euler, Fermat, and Wilson Primitive Roots The Index Calculus and Power Residues Legendre, Jacobi, & Quadratic Reciprocity Complexity CRYPTOGRAPHIC BASICS Definitions and Illustrations Classic Ciphers Stream Ciphers LFSRs Modes of Operation Attacks DES AND AES S-DES and DES AES PUBLIC-KEY CRYPTOGRAPHY The Ideas behind PKC Digital Envelopes and PKCs RSA ElGamal DSA - The DSS PRIMALITY TESTING True Primality Tests Probabilistic Primality Tests Recognizing Primes FACTORING Classical Factorization Methods The Continued Fraction Algorithm Pollard's Algorithms The Quadratic Sieve The Elliptic Curve Method (ECM) ELECTRONIC MAIL AND INTERNET SECURITY History of the Internet and the WWW Pretty Good Privacy (PGP) Protocol Layers and SSL Internetworking and Security - Firewalls Client-Server Model and Cookies LEADING-EDGE APPLICATIONS Login and Network Security Viruses and Other Infections Smart Cards Biometricsshow more

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