Introduction to Cryptography / Edition 2

Introduction to Cryptography / Edition 2

by Richard A. Mollin
     
 

ISBN-10: 1584886188

ISBN-13: 9781584886181

Pub. Date: 09/28/2006

Publisher: Taylor & Francis

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

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Overview

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.

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    Product Details

    ISBN-13:
    9781584886181
    Publisher:
    Taylor & Francis
    Publication date:
    09/28/2006
    Series:
    Discrete Mathematics and Its Applications Series, #41
    Edition description:
    REV
    Pages:
    413
    Product dimensions:
    6.10(w) x 9.30(h) x 1.10(d)

    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
    Biometrics

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