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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

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Product type Paperback
Published in Mar 2022
Publisher Packt
ISBN-13 9781789617139
Length 358 pages
Edition 1st Edition
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Author (1):
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Massimo Bertaccini Massimo Bertaccini
Author Profile Icon Massimo Bertaccini
Massimo Bertaccini
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Toc

Table of Contents (15) Chapters Close

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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