The Mathematics of Ciphers: Number Theory and RSA Cryptography / Edition 1

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Overview

This book is an introduction to the algorithmic aspects of number theory and its applications to cryptography, with special emphasis on the RSA cryptosys-tem. It covers many of the familiar topics of elementary number theory, all with an algorithmic twist. The text also includes many interesting historical notes.

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Editorial Reviews

Booknews
A revised and updated translation of a work originally published in Portuguese in 1997. It introduces the algorithmic aspects of number theory and its applications to the study of codes, and of code-breaking. The work ends with study of the Rivest, Shamir, and Aldeman (RSA) public key cryptosystem, focusing more on the mathematics of the system than on the details of implementing the system. Very little previous knowledge of mathematics is required, but computer literacy is assumed. ^^^^ Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9781568810829
  • Publisher: Taylor & Francis
  • Publication date: 11/1/1998
  • Edition description: REV
  • Edition number: 1
  • Pages: 198
  • Product dimensions: 6.30 (w) x 9.32 (h) x 0.65 (d)

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
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