An Introduction to Cryptography: 2nd Edition (Hardback) book cover

An Introduction to Cryptography

2nd Edition

By Richard A. Mollin

Chapman and Hall/CRC

413 pages | 41 B/W Illus.

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Hardback: 9781584886181
pub: 2006-09-18
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pub: 2006-09-18
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Description

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.

  • Reviews

    "Mollin has written a very nice book. He presents a vast overview of cryptography, its history, and modern uses, which makes for interesting reading."

    – In Siam Review, 2008, Vol. 50, No. 2

    Praise for the First Edition:

    "…Mollin has written a readable text on a subject that can be challenging. It deserves your attention."

    - The Cryptogram

    "This is a great book! It can be used in many ways: for a university course at one extreme, and as selective light reading for pleasure at the other. The author's enthusiasm carries the reader along clearly and easily, spilling over to scores of fascinating, beautifully written footnotes, which include more than fifty mini-biographies. … excellent and highly recommended."

    -Short Book Reviews, Vol. 21, No. 2, August 2001

    "I want to congratulate you on An Introduction to Cryptography. This is a fine addition to the field. Upon my recommendation, my personal firm has purchased several copies, it's so great. … Your explanation in the section of 'Coin Flipping via Exponentiation' was brilliantly orchestrated."

    -Owen Henry Cupp, Southern Sovereign Institute, Georgia, USA

    "In this very nice book, the author introduces at an undergraduate level the following topics: Origins, computer arithmetic, and complexity … . This book pays a lot of attention to the history of this research field, which makes the reading very enjoyable…"

    -Zentralblatt fur Mathematik

    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

    About the Series

    Discrete Mathematics and Its Applications

    Learn more…

    Subject Categories

    BISAC Subject Codes/Headings:
    COM046000
    COMPUTERS / Operating Systems / General
    COM053000
    COMPUTERS / Security / General
    MAT036000
    MATHEMATICS / Combinatorics