Book Image

Cryptography Algorithms

By : Massimo Bertaccini
Book Image

Cryptography Algorithms

By: Massimo Bertaccini

Overview of this book

Cryptography Algorithms is designed to help you get up and running with modern cryptography algorithms. You'll not only explore old and modern security practices but also discover practical examples of implementing them effectively. The book starts with an overview of cryptography, exploring key concepts including popular classical symmetric and asymmetric algorithms, protocol standards, and more. You'll also cover everything from building crypto codes to breaking them. In addition to this, the book will help you to understand the difference between various types of digital signatures. As you advance, you will become well-versed with the new-age cryptography algorithms and protocols such as public and private key cryptography, zero-knowledge protocols, elliptic curves, quantum cryptography, and homomorphic encryption. Finally, you'll be able to apply the knowledge you've gained with the help of practical examples and use cases. By the end of this cryptography book, you will be well-versed with modern cryptography and be able to effectively apply it to security applications.

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Table of Contents (15 chapters)
Preface
Preface
Who this book is for
What this book covers
To get the most out of this book
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Conventions used
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1
Section 1: A Brief History and Outline of Cryptography
Section 1: A Brief History and Outline of Cryptography
Free Chapter
2
Chapter 1: Deep Diving into Cryptography
Chapter 1: Deep Diving into Cryptography
An introduction to cryptography
A brief history and a panoramic overview of cryptographic algorithms
Notes on security and computation
Summary
3
Section 2: Classical Cryptography (Symmetric and Asymmetric Encryption)
Section 2: Classical Cryptography (Symmetric and Asymmetric Encryption)
4
Chapter 2: Introduction to Symmetric Encryption
Chapter 2: Introduction to Symmetric Encryption
Notations and operations in Boolean logic
DES algorithms
AES Rijndael
Summary
5
Chapter 3: Asymmetric Encryption
Chapter 3: Asymmetric Encryption
Introduction to asymmetric encryption
The Diffie-Hellman algorithm
RSA
PGP
The ElGamal algorithm
Summary
6
Chapter 4: Introducing Hash Functions and Digital Signatures
Chapter 4: Introducing Hash Functions and Digital Signatures
A basic explanation of hash functions
Overview of the main hash algorithms
Authentication and digital signatures
Summary
7
Section 3: New Cryptography Algorithms and Protocols
Section 3: New Cryptography Algorithms and Protocols
8
Chapter 5: Introduction to Zero-Knowledge Protocols
Chapter 5: Introduction to Zero-Knowledge Protocols
The main scenario of a ZKP – the digital cave
Summary
9
Chapter 6: New Algorithms in Public/Private Key Cryptography
Chapter 6: New Algorithms in Public/Private Key Cryptography
The genesis of the MB09 algorithm
Introducing the MB09 algorithm
Introducing the MBXI algorithm
Unconventional attacks on RSA
Digital signatures on MBXI
The evolution of MB09 and MBXI – an introduction to MBXX
Summary
10
Chapter 7: Elliptic Curves
Chapter 7: Elliptic Curves
An overview of elliptic curves
Operations on elliptic curves
Implementing the D-H algorithm on elliptic curves
Elliptic curve secp256k1 – the Bitcoin digital signature
A numerical exercise on a digital signature on secp256k1
Attacks on EDCSA and the security of elliptic curves
Considerations about the future of ECC
Summary
11
Chapter 8: Quantum Cryptography
Chapter 8: Quantum Cryptography
Introduction to Q-Mechanics and Q-Cryptography
An imaginary experiment to understand the elements of Q-Mechanics
Q-Cryptography
Quantum key distribution – BB84
Analysis attack and technical issues
Quantum computing
Shor's algorithm
Quantum Fourier Transform
Post-Q-Cryptography
Summary
12
Section 4: Homomorphic Encryption and the Crypto Search Engine
Section 4: Homomorphic Encryption and the Crypto Search Engine
13
Chapter 9: Crypto Search Engine
Chapter 9: Crypto Search Engine
Introduction to CSE – homomorphism
Partial homomorphism in RSA
Analysis of homomorphic encryption and its implications
Introduction to trees – graph theory
Huffman code
Hash and Boolean logic
CSE explained
The innovation in CSE
Computational analysis on CSE
Applications of CSE
Summary
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14
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Preface

In this age of extremely high connectivity, cloud computing, ransomware, and hackers, digital assets are changing the way we live our lives, so cryptography and cybersecurity are crucial.

The changes in processing and storing data has required adequate evolution in cryptographic algorithms to advance in the eternal battle against information piracy.

This book is a good tool for students and professionals who want to focus on the next generation of cryptography algorithms.

Starting from the basics of symmetric and asymmetric algorithms, the book describes all the modern techniques of authentication, transmission, and searching on encrypted data to shelter from spies and hackers. You'll encounter Evolute algorithms with zero knowledge, consensus on the blockchain, elliptic curves, quantum cryptography, and homomorphic search.

The book even gives some focus to attacks and cryptoanalysis of the main algorithms adopted in computer science. The main purpose of this book is to train you to deeply understand this complex topic. Indeed, particular attention has been paid to present examples and suggestions are given to help you better understand the concepts.

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