Introduction to Cryptography / Edition 1

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Overview

An Introduction to Cryptography is intended for the person wanting an introduction to the subject of cryptography, however, it contains enough advanced, optional material to challenge even the informed reader." "Beginning with an overview of the history of cryptography, the author then covers the basics of computer arithmetic and explores complexity. The author then presents comprehensive information on symmetric-key cryptosystems, public-key cryptosystems, and primality testing. He illustrates all methods with worked examples and includes a full description of the numerous cryptographic applications.
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Editorial Reviews

Booknews
An undergraduate introductory course text, intended for readers with little or no background in number theory (the math is presented as needed). The text also contains enough advanced, optional material to challenge the more informed student. Mollin (mathematics, U. of Calgary) begins with the origins of cryptography and then covers symmetric-key cryptosystems, public-key cryptosystems, and primality testing. The final chapter deals with advanced topics: elliptic curves, zero-knowledge, and quantum cryptography. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

ORIGINS, COMPUTER ARITHMETIC, AND COMPLEXITY
What is Cryptography and Why Study it? - A History
A History of Factoring and Primality Testing
Computer Arithmetic
Complexity
SYMMETRIC-KEY CRYPTOSYSTEMS
An Introduction to Congruences
Block Ciphers
oDES Cryptanalysis and Successors
Stream Ciphers
PUBLIC-KEY CRYPTOSYSTEMS
Exponentiation, Discrete Logs, and Protocols
Public-Key Cryptography
Authentication
Knapsack
PRIMALITY TESTING
An Introduction to Primitive Roots
True Primality Tests
Probabilistic Primality Tests
oFACTORING
Three Algorithms
The Number Field Sieve
oADVANCED TOPICS
Elliptic Curves and Cryptography
Zero-Knowledge
Quantum Cryptography
APPENDIX A: Fundamental Facts
SOLUTIONS TO ODD-NUMBERED EXERCISES
BIBLIOGRAPHY
LIST OF SYMBOLS
INDEX
ABOUT THE AUTHOR
(o denotes optional advanced material)
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First Chapter



Heretofore, there has been no suitable introductory book that provides a solid mathematical treatment of cryptography for readers with little or no background in number theory. By presenting the necessary mathematics as needed, An Introduction to Cryptography superbly fills that void. Although it is intended for the undergraduate student needing an introduction to the subject of cryptography, it contains enough optional, advanced material to challenge even the most informed reader, and provides the basis for a second course on the subject.
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