Introduction to Modern Cryptography: Principles and Protocols

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CRC Press, Aug 31, 2007 - Computers - 552 pages
2 Reviews
Cryptography plays a key role in ensuring the privacy and integrity of data and the security of computer networks. Introduction to Modern Cryptography provides a rigorous yet accessible treatment of modern cryptography, with a focus on formal definitions, precise assumptions, and rigorous proofs.

The authors introduce the core principles of modern cryptography, including the modern, computational approach to security that overcomes the limitations of perfect secrecy. An extensive treatment of private-key encryption and message authentication follows. The authors also illustrate design principles for block ciphers, such as the Data Encryption Standard (DES) and the Advanced Encryption Standard (AES), and present provably secure constructions of block ciphers from lower-level primitives. The second half of the book focuses on public-key cryptography, beginning with a self-contained introduction to the number theory needed to understand the RSA, Diffie-Hellman, El Gamal, and other cryptosystems. After exploring public-key encryption and digital signatures, the book concludes with a discussion of the random oracle model and its applications.

Serving as a textbook, a reference, or for self-study, Introduction to Modern Cryptography presents the necessary tools to fully understand this fascinating subject.
 

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Contents

Some Preliminary Notions and Facts from Probability Theory
7
Comparison of Random Variables Preferences of Individuals
63
COMPARISON OF R V S AND LIMIT THEOREMS
79
NONLINEAR CRITERIA
111
OPTIMAL PAYMENT FROM THE STANDPOINT OF THE INSURED 125
125
An individual Risk Model for a Short Period
137
CHAPTERS Conditional Expectations
191
A GENERAL APPROACH TO CONDITIONAL EXPECTATIONS
215
Global Characteristics of the Surplus Process Ruin Models
363
CHAPTERS Survival Distributions
413
Life Insurance Models
461
Annuity Models
499
Premiums and Reserves
531
Reinsurance and Coinsurance
565
Tables
607
Answers to Exercises
619

A Collective Risk Model for a Short Period
225
CHAPTERS Random Processes I Counting and Compound Processes
269
Random Processes II Brownian Motion and Martingales
329

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