The Mathematics of Ciphers - Number Theory and RSA Cryptography

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The Mathematics of Ciphers: Number Theory and RSA Cryptography

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Type.................: Ebook









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Posted by............: ~tqw~ (www.darksiderg.com)



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Synopsis:

What do prime numbers, multiplication, and factoring have in common? They are

all part of The Mathematics of Ciphers, code-building at its best.. "Revised and

updated since its publication in Portuguese in 1997, this book is an

introduction to the algorithmic aspects of number theory and its applications to

cryptography. Accompanied by historical anecdotes, the familiar topics of number

theory are defined and explored. The author takes the reader on a leisurely

journey through this fascinating field, culminating in a visit to the RSA

cryptosystem.



Table of Contents

Preface

Introduction 1

Ch. 1 Fundamental algorithms 17

Ch. 2 Unique factorization 33

Ch. 3 Prime numbers 49

Ch. 4 Modular arithmetic 63

Ch. 5 Induction and Fermat 79

Ch. 6 Pseudoprimes 95

Ch. 7 Systems of Congruences 107

Ch. 8 Groups 121

Ch. 9 Mersenne and Fermat 141

Ch. 10 Primality tests and primitive roots 151

Ch. 11 The RSA cryptosystem 163

Coda 175

App Roots and powers 179

Bibliography 183

Index of the main algorithms 189

Index of the main results 191

Index 192





Product Details



* ISBN: 1568810822

* ISBN-13: 9781568810829

* Format: Textbook Hardcover, 198pp

* Publisher: Peters, A K, Limited

* Pub. Date: November 1998





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