Introduction to Modern Cryptography 2nd edition by Jonathan Katz, Yehuda Lindell ISBN 1584885513 ‎ 978-1584885511

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ISBN 10: 1584885513
ISBN 13: ‎ 978-1584885511
Author: Jonathan Katz, Yehuda Lindell 

Cryptography plays a key role in ensuring the privacy and integrity of data and the security of computer networks. Introduction to Modern Cryptography provides a rigorous yet accessible treatment of modern cryptography, with a focus on formal definitions, precise assumptions, and rigorous proofs.

The authors introduce the core principles of modern cryptography, including the modern, computational approach to security that overcomes the limitations of perfect secrecy. An extensive treatment of private-key encryption and message authentication follows. The authors also illustrate design principles for block ciphers, such as the Data Encryption Standard (DES) and the Advanced Encryption Standard (AES), and present provably secure constructions of block ciphers from lower-level primitives. The second half of the book focuses on public-key cryptography, beginning with a self-contained introduction to the number theory needed to understand the RSA, Diffie-Hellman, El Gamal, and other cryptosystems. After exploring public-key encryption and digital signatures, the book concludes with a discussion of the random oracle model and its applications.

Serving as a textbook, a reference, or for self-study, Introduction to Modern Cryptography presents the necessary tools to fully understand this fascinating subject.

Introduction to Modern Cryptography 2nd Table of contents:

1. Introduction

   • History and evolution of cryptography
   • Overview of modern cryptography and its importance
   • The goals and challenges of cryptographic systems

2. Classical Cryptography

   • Symmetric-key cryptography (e.g., Caesar cipher, Vigenère cipher)
   • Cryptanalysis techniques for classical ciphers
   • The shift to modern cryptography

3. Block Ciphers and the Data Encryption Standard (DES)

   • The structure of block ciphers
   • DES and its weaknesses
   • Modern block cipher design (AES, etc.)

4. Advanced Encryption Standard (AES)

   • Overview of AES and its design principles
   • AES key schedule, encryption, and decryption process
   • Security analysis of AES

5. Public-Key Cryptography

   • Introduction to public-key cryptography
   • RSA encryption and its security
   • Diffie-Hellman key exchange and its applications

6. Elliptic Curve Cryptography

   • Introduction to elliptic curve cryptography (ECC)
   • ECC-based encryption and key exchange protocols
   • Security and efficiency advantages of ECC

7. Hash Functions and Message Authentication

   • Cryptographic hash functions and their properties
   • Popular hash algorithms (SHA-2, SHA-3)
   • Message authentication codes (MACs)

8. Digital Signatures

   • The role of digital signatures in authentication
   • RSA-based and elliptic curve signature schemes
   • Security and verification of signatures

9. Public-Key Infrastructure (PKI)

   • The concept of digital certificates
   • Certificate authorities (CAs) and trust models
   • Applications of PKI in secure communication

10. Cryptographic Protocols

    • Secure communication protocols (SSL/TLS, IPsec)
    • Protocol design principles for cryptographic applications
    • Cryptographic protocols for secure key exchange

11. Zero-Knowledge Proofs

    • Introduction to zero-knowledge proofs and their applications
    • Interactive proofs and non-interactive proofs
    • Applications in privacy and blockchain systems

12. Cryptographic Primitives and Their Applications

    • Pseudorandom functions and generators
    • Secret sharing schemes
    • Secure multiparty computation

13. Advanced Topics

    • Lattice-based cryptography and post-quantum cryptography
    • Homomorphic encryption and fully homomorphic encryption (FHE)
    • Cryptographic attacks and their defenses

14. The Future of Cryptography

    • The impact of quantum computing on cryptographic security
    • Ongoing research areas in cryptography
    • The challenges of maintaining secure cryptographic systems in the future

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