An Introduction to Cryptography 2nd edition by Richard Mollin ISBN 1584886188 978-1584886181

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ISBN 10: 1584886188
ISBN 13: 978-1584886181
Author: Richard Mollin

Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition provides a solid foundation in cryptographic concepts that features all of the requisite background material on number theory and algorithmic complexity as well as a historical look at the field.

With numerous additions and restructured material, this edition presents the ideas behind cryptography and the applications of the subject. The first chapter provides a thorough treatment of the mathematics necessary to understand cryptography, including number theory and complexity, while the second chapter discusses cryptographic fundamentals, such as ciphers, linear feedback shift registers, modes of operation, and attacks. The next several chapters discuss DES, AES, public-key cryptography, primality testing, and various factoring methods, from classical to elliptical curves. The final chapters are comprised of issues pertaining to the Internet, such as pretty good privacy (PGP), protocol layers, firewalls, and cookies, as well as applications, including login and network security, viruses, smart cards, and biometrics. The book concludes with appendices on mathematical data, computer arithmetic, the Rijndael S-Box, knapsack ciphers, the Silver-Pohlig-Hellman algorithm, the SHA-1 algorithm, radix-64 encoding, and quantum cryptography.

New to the Second Edition:

• An introductory chapter that provides more information on mathematical facts and complexity theory
  
• Expanded and updated exercises sets, including some routine exercises
  
• More information on primality testing and cryptanalysis

  Accessible and logically organized, An Introduction to Cryptography, Second Edition is the essential book on the fundamentals of cryptography.

An Introduction to Cryptography 2nd Table of contents:

Preface

1. Introduction to Cryptography
   1.1. What is Cryptography?
   1.2. Historical Background
   1.3. Modern Cryptography
   1.4. Applications of Cryptography
   1.5. Cryptographic Goals: Confidentiality, Integrity, Authentication, and Non-Repudiation

Part I: Classical Cryptography
2. Classical Encryption Techniques
2.1. Substitution Ciphers
2.2. Transposition Ciphers
2.3. The Caesar Cipher
2.4. The Vigenère Cipher
2.5. Cryptanalysis of Classical Ciphers
2.6. Frequency Analysis and Statistical Attacks

Part II: Symmetric-Key Cryptography
3. Symmetric Encryption Principles
3.1. Block Ciphers
3.2. Stream Ciphers
3.3. Key Management
3.4. The Data Encryption Standard (DES)
3.5. Advanced Encryption Standard (AES)
3.6. Modes of Operation (ECB, CBC, CTR, etc.)
3.7. Cryptanalysis of Block Ciphers
3.8. Side-Channel Attacks

4. Cryptographic Hash Functions
   4.1. Definition and Properties
   4.2. Applications of Hash Functions
   4.3. The Merkle-Damgård Construction
   4.4. SHA Family of Hash Functions
   4.5. Collision Resistance and Pre-image Resistance
   4.6. Cryptanalysis of Hash Functions

Part III: Public-Key Cryptography
5. Introduction to Public-Key Cryptography
5.1. Overview and Key Concepts
5.2. The Need for Asymmetric Cryptography
5.3. Basic Principles of Public-Key Cryptography

6. RSA Cryptosystem
   6.1. The RSA Algorithm
   6.2. Key Generation
   6.3. Encryption and Decryption
   6.4. Security of RSA
   6.5. Cryptanalysis of RSA
   6.6. RSA in Practice: Padding and Efficiency Issues

7. ElGamal and Diffie-Hellman Key Exchange
   7.1. The Diffie-Hellman Protocol
   7.2. The ElGamal Cryptosystem
   7.3. Security of Diffie-Hellman and ElGamal
   7.4. Discrete Logarithm Problem and its Difficulty

8. Digital Signatures
   8.1. Definition and Usage
   8.2. RSA Digital Signatures
   8.3. Digital Signature Algorithm (DSA)
   8.4. Security of Digital Signatures
   8.5. Applications of Digital Signatures

Part IV: Advanced Topics in Cryptography
9. Cryptographic Protocols
9.1. Secure Communication Protocols
9.2. Public-Key Infrastructure (PKI)
9.3. Secure Sockets Layer (SSL)/Transport Layer Security (TLS)
9.4. Kerberos and Authentication Protocols
9.5. Zero-Knowledge Proofs
9.6. Multiparty Computation

10. Cryptanalysis and Attacks
    10.1. Types of Attacks: Brute Force, Side-Channel, Chosen-Plaintext
    10.2. Attacks on Symmetric Key Systems
    10.3. Attacks on Public-Key Systems
    10.4. Quantum Cryptography and Post-Quantum Security
    10.5. Modern Cryptanalysis Techniques

Part V: Real-World Cryptography Applications
11. Cryptography in Practice
11.1. Secure Email (PGP, S/MIME)
11.2. Digital Certificates and HTTPS
11.3. Blockchain and Cryptocurrencies
11.4. Secure Messaging Systems
11.5. Cryptography in Cloud Computing
11.6. Privacy-Preserving Technologies (e.g., Homomorphic Encryption)

12. Legal and Ethical Aspects of Cryptography
    12.1. Cryptography and Government Regulation
    12.2. Export Controls and the Crypto Wars
    12.3. Privacy Concerns and Cryptography
    12.4. The Ethics of Cryptography in Surveillance and Data Protection

Appendices
A. Mathematical Foundations for Cryptography
A.1. Number Theory
A.2. Modular Arithmetic
A.3. Primality Testing and Factorization
A.4. Probability and Statistics for Cryptography
A.5. Algorithms and Complexity Theory

B. Further Reading and Resources

C. Index

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