Cover
by Lawrence C. Washington, Wade Trappe
Introduction to Cryptography with Coding Theory, 3rd Edition
- Introduction to Cryptography with Coding Theory
- Contents
- Preface
- Chapter 1 Overview of Cryptography and Its Applications
- Chapter 2 Classical Cryptosystems
- Chapter 3 Basic Number Theory
- 3.1 Basic Notions
- 3.2 The Extended Euclidean Algorithm
- 3.3 Congruences
- 3.4 The Chinese Remainder Theorem
- 3.5 Modular Exponentiation
- 3.6 Fermat’s Theorem and Euler’s TheoremFermat’s Theorem and Euler’s Theorem
- 3.7 Primitive Roots
- 3.8 Inverting Matrices Mod n
- 3.9 Square Roots Mod n
- 3.10 Legendre and Jacobi Symbols
- 3.11 Finite Fields
- 3.12 Continued Fractions
- 3.13 Exercises
- 3.14 Computer Problems
- Chapter 4 The One-Time Pad
- Chapter 5 Stream Ciphers
- Chapter 6 Block Ciphers
- Chapter 7 The Data Encryption Standard
- Chapter 8 The Advanced Encryption Standard: Rijndael
- Chapter 9 The RSA Algorithm
- Chapter 10 Discrete Logarithms
- Chapter 11 Hash Functions
- Chapter 12 Hash Functions: Attacks and Applications
- Chapter 13 Digital Signatures
- Chapter 14 What Can Go Wrong
- Chapter 15 Security Protocols
- Chapter 16 Digital Cash
- Chapter 17 Secret Sharing Schemes
- Chapter 18 Games
- Chapter 19 Zero-Knowledge Techniques
- Chapter 20 Information Theory
- Chapter 21 Elliptic Curves
- Chapter 22 Pairing-Based Cryptography
- Chapter 23 Lattice Methods
- Chapter 24 Error Correcting Codes
- Chapter 25 Quantum Techniques in Cryptography
- Appendix A Mathematica® Examples
- A.1 Getting Started with Mathematica
- A.2 Some Commands
- A.3 Examples for Chapter 2
- A.4 Examples for Chapter 3
- A.5 Examples for Chapter 5
- A.6 Examples for Chapter 6
- A.7 Examples for Chapter 9
- A.8 Examples for Chapter 10
- A.9 Examples for Chapter 12
- A.10 Examples for Chapter 17
- A.11 Examples for Chapter 18
- A.12 Examples for Chapter 21
- Appendix B Maple® Examples
- B.1 Getting Started with Maple
- B.2 Some Commands
- B.3 Examples for Chapter 2
- B.4 Examples for Chapter 3
- B.5 Examples for Chapter 5
- B.6 Examples for Chapter 6
- B.7 Examples for Chapter 9
- B.8 Examples for Chapter 10
- B.9 Examples for Chapter 12
- B.10 Examples for Chapter 17
- B.11 Examples for Chapter 18
- B.12 Examples for Chapter 21
- Appendix C MATLAB® Examples
- C.1 Getting Started with MATLAB
- C.2 Examples for Chapter 2
- C.3 Examples for Chapter 3
- C.4 Examples for Chapter 5
- C.5 Examples for Chapter 6
- C.6 Examples for Chapter 9
- C.7 Examples for Chapter 10
- C.8 Examples for Chapter 12
- C.9 Examples for Chapter 17
- C.10 Examples for Chapter 18
- C.11 Examples for Chapter 21
- Appendix D Sage Examples
- D.1 Computations for Chapter 2
- D.2 Computations for Chapter 3
- D.3 Computations for Chapter 5
- D.4 Computations for Chapter 6
- D.5 Computations for Chapter 9
- D.6 Computations for Chapter 10
- D.7 Computations for Chapter 12
- D.8 Computations for Chapter 17
- D.9 Computations for Chapter 18
- D.10 Computations for Chapter 21
- Appendix E Answers and Hints for Selected Odd-Numbered Exercises
- Appendix F Suggestions for Further Reading
- Bibliography
- Index
-
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