Understanding and Applying Cryptography and Data Security: 1st Edition (Hardback) book cover

Understanding and Applying Cryptography and Data Security

1st Edition

By Adam J. Elbirt

Auerbach Publications

416 pages | 65 B/W Illus.

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Paperback: 9780367385798
pub: 2019-10-23
Hardback: 9781420061604
pub: 2009-04-09
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pub: 2009-04-09
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A How-to Guide for Implementing Algorithms and Protocols

Addressing real-world implementation issues, Understanding and Applying Cryptography and Data Security emphasizes cryptographic algorithm and protocol implementation in hardware, software, and embedded systems. Derived from the author’s teaching notes and research publications, the text is designed for electrical engineering and computer science courses.

Provides the Foundation for Constructing Cryptographic Protocols

The first several chapters present various types of symmetric-key cryptographic algorithms. These chapters examine basic substitution ciphers, cryptanalysis, the Data Encryption Standard (DES), and the Advanced Encryption Standard (AES). Subsequent chapters on public-key cryptographic algorithms cover the underlying mathematics behind the computation of inverses, the use of fast exponentiation techniques, tradeoffs between public- and symmetric-key algorithms, and the minimum key lengths necessary to maintain acceptable levels of security. The final chapters present the components needed for the creation of cryptographic protocols and investigate different security services and their impact on the construction of cryptographic protocols.

Offers Implementation Comparisons

By examining tradeoffs between code size, hardware logic resource requirements, memory usage, speed and throughput, power consumption, and more, this textbook provides students with a feel for what they may encounter in actual job situations.

A solutions manual is available to qualified instructors with course adoptions.


This book is a good technical reference for someone who wishes to implement (or install) a security system based on existing techniques … a good complementary book for a technical course to students who already know about the theory of cryptography but need to learn the technical details in order to implement existing protocols in new hardware.

Jeremy Barbay, University of Chile, in SIGACT NEWS, December 2011

Table of Contents


A Brief History of Cryptography and Data Security

Cryptography and Data Security in the Modern World

Existing Texts

Book Organization

Symmetric-Key Cryptography

Cryptosystem Overview

The Modulo Operator

Greatest Common Divisor

The Ring Zm

Homework Problems

Symmetric-Key Cryptography: Substitution Ciphers

Basic Cryptanalysis

Shift Ciphers

Affine Ciphers

Homework Problems

Symmetric-Key Cryptography: Stream Ciphers

Random Numbers

The One-Time Pad

Key Stream Generators

Real-World Applications

Homework Problems

Symmetric-Key Cryptography: Block Ciphers

The Data Encryption Standard

The Advanced Encryption Standard

Public-Key Cryptography

Issues with Symmetric-Key Cryptosystems

Public-Key Cryptosystem Overview

One-Way Functions

The Euclidean Algorithm

The Extended Euclidean Algorithm

Euler’s Phi Function

Euler’s Theorem

Fermat’s Little Theorem

Homework Problems

Public-Key Cryptography: RSA


Efficient Implementation


Homework Problems

Public-Key Cryptography: Discrete Logarithms

Cyclic Groups

The Discrete Logarithm Problem

Diffie–Hellman Key Agreement Protocol

Efficient Implementation

ElGamal Encryption


Homework Problems

Public-Key Cryptography: Elliptic Curves


Diffie–Hellman Key Agreement Protocol

Efficient Implementation

Menezes–Vanstone Encryption


Homework Problems

Cryptographic Components

Digital Signatures

Hash Functions

Message Authentication Codes

Cryptographic Protocols

Security Services

Key Establishment


Homework Problems



About the Author

Elbirt\, Adam J.

Subject Categories

BISAC Subject Codes/Headings:
COMPUTERS / Information Technology
COMPUTERS / Security / General
COMPUTERS / Computer Engineering