Cryptography and Cryptanalysis in MATLAB: Creating and Programming Advanced Algorithms

✍ Scribed by Marius Iulian Mihailescu, Stefania Loredana Nita

• Publisher: Apress
• Year: 2021
• Tongue: English
• Leaves: 201
• Category: Library

✦ Synopsis

✦ Table of Contents

Table of Contents
About the Authors
About the Technical Reviewer
Chapter 1: Getting Started in Cryptography and Cryptanalysis
Cryptography and Cryptanalysis
Book Structure
Conclusion
References
Chapter 2: MATLAB Cryptography Functions
Conclusion
References
Chapter 3: Conversions Used in MATLAB for Cryptography
Conclusion
References
Chapter 4: Basic Arithmetic Foundations
Euclid’s Division Lemma
Greatest Common Divisor (gcd)
Euclid’s Algorithm
The Extended Euclidean Algorithm
Practical Implementations
The Extended Euclidean Algorithm
Prime Factors in MATLAB
Computing the Modular Inverse
Conclusion
References
Chapter 5: Number Theory
Primality and Factorization
Prime Numbers
The Prime Number Theorem
Congruency
Inverse
Chinese Remainder Theorem
Primality Tests
The Wilson Primality Test
The Little Fermat Primality Test
The Miller-Rabin Primality Test
Algebraic Structures
Conclusion
References
Chapter 6: Classic Cryptography
Symmetric Cryptography
Classic Ciphers
The Caesar Cipher
Example
Mathematical Background
Cryptanalysis
Implementing the Caesar Cipher
The Vigenère Cipher
Example
Mathematical Background
Implementing the Vigenère Cipher
The Hill Cipher
Example
Cryptanalysis
Implementing the Hill Cipher
Conclusion
References
Chapter 7: Pseudo-Random Number Generators
Simple PRNGs
Linear Congruential Generators
Ranrot Generators
Blum-Blum-Shub Generator
Linear Circuit PRNGs
Other PRNGs
Practical Implementations
Conclusion
References
Chapter 8: Hash Functions
Security of Hash Functions
Cryptographic Hash Functions
Birthday Attack
MD4 Function
MD4 Function Description
Cryptanalysis of MD4
MD5 Function
SHA1 Function
Implementing Hash Functions
Implementing SHA-1/256/368/512, MD2, and MD5
Conclusion
References
Chapter 9: Block Ciphers: DES and AES
Preliminaries
Networks Based on Substitution and Permutation
Attacks Based on Linear Cryptanalysis
Attacks Based on Differential Cryptanalysis
The Data Encryption Standard (DES)
DES Description
Implementation of DES
The Advanced Encryption System (AES)
SubBytes Operations
The ShiftRows Operation
The MixColumn Operation
The AddRoundKey Operation
Key Expansion
InvSubBytes Operation
InvShiftRows Operation
InvMixColumns Operation
Conclusion
References
Chapter 10: Asymmetric Encryption Schemes
RSA
ElGamal
Merkle-Hellman
Knapsack Approach
The Algorithms
Conclusion
References
Chapter 11: Formal Techniques for Cryptography
Probability Theory
Random Variables
Birthday Problem
Entropy
Randomness in Cryptography
Conclusion
References
Chapter 12: Visual Cryptography
Conclusion
References
Chapter 13: Chaos-Based Cryptography
Chaos Maps and Functions
Logistic Map
Chaos Theory in Cryptography
Sensitivity to Initial Conditions
Conclusion
References
Chapter 14: Steganography
Algorithms and Methods for Different Steganography Types
Steganography for Image Files
Steganography for Audio Files
Steganography for Video Files
Practical Implementation
Implementing the Least Significant Bit (LSB) Method
Implementing the Histogram Analysis Method
Conclusion
References
Index