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Introduction to Cryptography with Coding Theory

by: Trappe, Wade; Washington, Lawrence C.

Introduction to Cryptography with Coding Theory

by: Trappe, Wade; Washington, Lawrence C.

ISBN 13:
9780130618146
ISBN 10:
0130618144
Format: Hardcover
Copyright: 01/01/2002
Publisher: Pearson College Div
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Summary

For advanced undergraduate courses in cryptography and network security in departments of math and computer science. Assumes a minimal background in programming and a level of math sophistication equivalent to a course in linear algebra.

Preface

Overview

(11)

Secure Communications

(7)

Cryptographic Applications

(3)

Classical Cryptosystems

(47)

Shift Ciphers

(1)

Affine Ciphers

(2)

The Vigenere Cipher

(7)

Substitution Ciphers

(3)

Sherlock Holmes

(3)

The Playfair and ADFGX Ciphers

(4)

Block Ciphers

(4)

Binary Numbers and ASCII

(1)

One-Time Pads

(2)

Pseudo-random Bit Generation

(2)

Linear Feedback Shift Register Sequences

(7)

Enigma

(5)

Exercises

(2)

Computer Problems

(3)

Basic Number Theory

(38)

Basic Notions

(6)

Solving ax + by = d

(1)

Congruences

(6)

The Chinese Remainder Theorem

(2)

Modular Exponentiation

(1)

Fermat and Euler

(4)

Primitive Roots

(1)

Inverting Matrices Mod n

(1)

Square Roots Mod n

(2)

Finite Fields

(8)

Exercises

(4)

Computer Problems

(2)

The Data Encryption Standard

(30)

Introduction

(1)

A Simplified DES-Type Algorithm

(4)

Differential Cryptanalysis

102

(5)

DES

107

(8)

Models of Operation

115

(3)

Breaking DES

118

(5)

Password Security

123

(2)

Exercises

125

(2)

AES: Rijndael

127

(10)

The Basic Algorithm

128

(1)

The Layers

129

(4)

Decryption

133

(3)

Design Considerations

136

(1)

The RSA Algorithm

137

(28)

The RSA Algorithm

137

(5)

Attacks on RSA

142

(3)

Primality Testing

145

(4)

Factoring

149

(5)

The RSA Challenge

154

(2)

An Application to Treaty Verification

156

(1)

The Public Key Concept

156

(3)

Exercises

159

(3)

Computer Problems

162

(3)

Discrete Logarithms

165

(12)

Discrete Logarithms

165

(1)

Computing Discrete Logs

166

(7)

Bit Commitment

173

(1)

The ElGamal Public Key Cryptosystem

173

(2)

Exercises

175

(1)

Computer Problems

176

(1)

Digital Signatures

177

(19)

RSA Signatures

178

(1)

The EIGamal Signature Scheme

179

(3)

Hash Functions

182

(4)

Birthday Attacks

186

(4)

The Digital Signature Algorithm

190

(1)

Exercises

191

(3)

Computer Problems

194

(2)

E-Commerce and Digital Cash

196

(12)

Secure Electronic Transaction

197

(2)

Digital Cash

199

(7)

Exercises

206

(2)

Secret Sharing Schemes

208

(11)

Secret Splitting

208

(1)

Threshold Schemes

209

(6)

Exercises

215

(2)

Computer Problems

217

(2)

Games

219

(9)

Flipping Coins over the Telephone

219

(2)

Poker over the Telephone

221

(5)

Exercises

226

(2)

Zero-Knowledge Techniques

228

(8)

The Basic Setup

228

(3)

Feige-Fiat-Shamir Identification Scheme

231

(2)

Exercises

233

(3)

Key Establishment Protocols

236

(14)

Key Agreement Protocols

237

(2)

Key Pre-distribution

239

(2)

Key Distribution

241

(5)

Public Key Infrastructures (PKI)

246

(2)

Exercises

248

(2)

Information Theory

250

(22)

Probability Review

251

(2)

Entropy

253

(5)

Huffman Codes

258

(2)

Perfect Secrecy

260

(3)

The Entropy of English

263

(5)

Exercises

268

(4)

Elliptic Curves

272

(23)

The Addition Law

272

(4)

Elliptic Curves Mod n

276

(4)

Factoring with Elliptic Curves

280

(4)

Elliptic Curves in Characteristic 2

284

(3)

Elliptic Curve Cryptosystems

287

(3)

Exercises

290

(3)

Computer Problems

293

(2)

Error Correcting Codes

295

(58)

Introduction

295

(6)

Error Correcting Codes

301

(4)

Bounds on General Codes

305

(6)

Linear Codes

311

(8)

Hamming Codes

319

(1)

Golay Codes

320

(9)

Cyclic Codes

329

(6)

BCH Codes

335

(8)

Reed-Solomon Codes

343

(2)

The McEliece Cryptosystem

345

(3)

Amazon no longer offers textbook rentals. We do!

Introduction to Cryptography with Coding Theory

Introduction to Cryptography with Coding Theory

9780130618146

0130618144

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Introduction to Cryptography with Coding Theory

Introduction to Cryptography with Coding Theory

9780130618146

0130618144

Summary

Table of Contents

Supplemental Materials

Write a Review

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