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E-Book

E-Book, Englisch, 413 Seiten

Reihe: Discrete Mathematics and Its Applications

Mollin An Introduction to Cryptography, Second Edition


2. Auflage 2010
ISBN: 978-1-4200-1124-1
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 413 Seiten

Reihe: Discrete Mathematics and Its Applications

ISBN: 978-1-4200-1124-1
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)



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.

Mollin An Introduction to Cryptography, Second Edition jetzt bestellen!

Zielgruppe


Students taking cryptography courses in mathematics and computer science; professional mathematicians, computer scientists, and electrical engineers.


Autoren/Hrsg.


Weitere Infos & Material


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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