Introduction to cryptography, Second Edition

✍ Scribed by Johannes Buchmann

• Publisher: Springer
• Year: 2004
• Tongue: English
• Leaves: 354
• Series: Undergraduate Texts in Mathematics
• Edition: 2nd
• Category: Library

✦ Synopsis

This book explains the basic methods of modern cryptography. It is written for readers with only basic mathematical knowledge who are interested in modern cryptographic algorithms and their mathematical foundation. Several exercises are included following each chapter. From the reviews: "Gives a clear and systematic introduction into the subject whose popularity is ever increasing, and can be recommended to all who would like to learn about cryptography." --ZENTRALBLATT MATH

✦ Table of Contents

Introduction to Cryptography......Page 4
Contents......Page 8
Preface for the Second Edition......Page 14
Preface......Page 16
1 Integers......Page 18
2 Congruences and Residue Class Rings......Page 46
3 Encryption......Page 88
4 Probability and Perfect Secrecy......Page 132
5 DES......Page 144
6 AES......Page 156
7 Prime Number Generation......Page 168
8 Public-Key Encryption......Page 180
9 Factoring......Page 216
10 Discrete Logarithms......Page 230
11 Cryptographic Hash Functions
......Page 252
12 Digital Signatures......Page 266
13 Other Systems......Page 294
14 Identification......Page 302
15 Secret Sharing......Page 310
16 Public-Key Infrastructures......Page 316
Solutions of the Exercises......Page 324
References......Page 342
Index......Page 348