Introduction to Cryptography With Coding Theory (2nd Edition)

Description

With its lively, conversational tone and practical focus, this new edition mixes applied and theoretical aspects for a solid introduction to cryptography and security, including the latest significant advancements in the field.

Key Features

• Balances applied and theoretical aspects of security — Presents applications and protocols where cryptographic primitives are used in practice, such as SET and SSL.
  
• Coverage of Rijndael and AES — Provides a detailed explanation of AES, which has replaced Feistel-based ciphers (DES) as the standard block cipher algorithm.
  
• Coverage of practical applications of cryptography to security protocols — Connects the cryptographic tools developed earlier in the book to the building of real security tools, demonstrating to students that there is more to security and cryptography than just math.
• Friendly, story-like discussion of security concepts — Uses historical examples to illustrate the concepts of security and cryptanalysis by relating theory to easier-to-grasp events.
  
• Modern methods such as Elliptic curves, Lattice methods, and Quantum Techniques — Provides thorough coverage of topics that are becoming increasingly prominent in the field.
• Major coverage of coding theory — Offers a discussion of coding theory, which is often covered in today’s cryptology courses.
  
• Numerous example calculations — Includes many examples, especially in purely mathematical chapters such as Ch. 3.
• Public key certificate — Provides an example of what an actual public key certificate looks like, rather than just describing it.
  
• Mathematica/Maple/Matlab problems and notebooks — Allow students to work with realistic sized examples in RSA and Digital Signatures, as well as classical cryptosystems and those with elliptic curves.
• Practical examples and applications — Give students hands-on experience with the large-numbered cryptography of today’s security systems, and provides a discussion of security protocols.

Table of Contents

1. Overview
2. Classical Cryptosystems.
3. Basic Number Theory.
4. The Data Encryption Standard
5. AES: Rijndael
6. The RSA Algorithm
7. Discrete Logarithms
8. Hash Functions
9. Digital Signatures
10. Security Protocols
11. Digital Cash
12. Secret Sharing Schemes
13. Games
14. Zero-Knowledge Techniques
15. Information Theory
16. Elliptic Curves
17. Lattice Methods
18. Error Correcting Codes
19. Quantum Techniques in Cryptography
20. Bibliography
21. Index