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Cryptography Algorithms

You're reading from Cryptography Algorithms A guide to algorithms in blockchain, quantum cryptography, zero-knowledge protocols, and homomorphic encryption

Product type Paperback

Published in Mar 2022

Publisher Packt

ISBN-13 9781789617139

Length 358 pages

Edition 1st Edition

Languages

Python

Tools

Blockchain

Concepts

Blockchain

Author (1):

Massimo Bertaccini

View More author details

Table of Contents (15) Chapters

Preface

1. Section 1: A Brief History and Outline of Cryptography

2. Chapter 1: Deep Diving into Cryptography FREE CHAPTER

3. Section 2: Classical Cryptography (Symmetric and Asymmetric Encryption)

4. Chapter 2: Introduction to Symmetric Encryption

5. Chapter 3: Asymmetric Encryption

6. Chapter 4: Introducing Hash Functions and Digital Signatures

7. Section 3: New Cryptography Algorithms and Protocols

8. Chapter 5: Introduction to Zero-Knowledge Protocols

9. Chapter 6: New Algorithms in Public/Private Key Cryptography

10. Chapter 7: Elliptic Curves

11. Chapter 8: Quantum Cryptography

12. Section 4: Homomorphic Encryption and the Crypto Search Engine

13. Chapter 9: Crypto Search Engine

14. Other Books You May Enjoy

Chapter 7: Elliptic Curves

Elliptic curves are the new frontier for decentralized finance. Satoshi Nakamoto adopted a particular kind of elliptic curve to implement the transmission of digital currency in Bitcoin called secp256K1. Let's see how it works and what the main characteristics are of this very robust encryption.

In this chapter, we will learn the mathematical basics of elliptic curve cryptography. This topic involves geometry, modular mathematics, digital signatures, and logic.

Moreover, I will present the special kind of elliptic curve implemented for the digital signature of Bitcoin known as secp256K1.

Finally, we will discuss the possibility of an attack on elliptic curves.

So, in this chapter, we will cover the following topics:

The genesis of cryptography on elliptic curves
Mathematical and logical basics of elliptic curves
The Diffie–Hellman key exchange based on elliptic curves
An explanation of ECDSA on secp256K1 –...

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Authors (1)

Massimo Bertaccini

Massimo Bertaccini

Massimo Bertaccini, PhD, is a researcher, principal scientist, CEO, and co-founder at Cryptolab Inc. He holds several patents in cryptography, quantum cryptography, and AI. His career started as a professor of mathematics and statistics, following which he founded Cryptolab Inc., a start-up in the field of cryptography solutions for cybersecurity. With his team of engineers, he designed and implemented the first search engine in the world that can work with encrypted data. He has obtained several international prizes and awards, such as the Silicon Valley Inventors award, the Seal of Excellence from the EU, and Security Solutions Provider of the Year – USA, 2023. Currently, as a contract professor, he teaches cryptography for a cybersecurity course and has published many articles in the field of cryptography and blockchain. The first edition of Cryptography Algorithms was the tenth bestseller in its category on Amazon for 40 weeks and proclaimed by Book Authority as the best book of 2023 in homomorphic and quantum encryption.

See other products by Massimo Bertaccini

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