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RSA and Public-Key Cryptography

RSA and Public-Key Cryptography by Richard A. Mollin
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HISTORY AND BASIC CRYPTOGRAPHIC CONCEPTS
Terminology
Classical Ciphers
Classification of Attacks

PROTOCOLS, DISCRETE LOG, AND DIFFIE-HELLMAN
Cryptographic Protocols
The Discrete Log Problem
Exponentiation Ciphers and Diffie-Hellman

PUBLIC-KEY CRYPTOGRAPHY
One-Way Functions
Public-Key Cryptosystems and RSA
ElGamal Cryptosystems
Symmetric vs. Asymmetric Cryptosystems
Secret History of Public-Key Cryptography

PROBABILISTIC PRIMALITY TESTS
Introduction
Pseudoprimes and Carmichael Numbers
Solovay-Strassen Test
Miller-Selfridge-Rabin Test

FACTORING
Universal Exponent Method
Pollard's p - 1 Method
Lenstra's Elliptic Curve Method
Multipolynomial Quadratic Sieve
The Number Field Sieve

SECURITY OF RSA
Implementation Attacks
Exponent Attacks
Strong Moduli
Generation of Random Primes

AUTHENTICATION
Identification, Impersonation, & Signatures
Digital Signature Schemes
Digital Cash and Electronic Commerce

KEY MANAGEMENT
Secret Sharing
Key Establishment
Public-Key Infrastructure (PKI)

APPLICATIONS AND THE FUTURE
Secrecy and Authentication
Other Threats to System Security
Wireless Security
Smart Cards and Biometrics

APPENDICES
Letter Frequency Analysis
Elementary Complexity Theory
Fundamental Facts

Solutions to Odd-Numbered Exercises
Bibliography
List of Symbols
Index
CRC Press; November 2002
305 pages; ISBN 9781420035247
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Title: RSA and Public-Key Cryptography
Author: Richard A. Mollin
 
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