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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

Notations and operations in Boolean logic

In order to understand the mechanism of symmetric algorithms, it is necessary to go over some notations in Boolean logic and these operations on a binary system.

As we have already seen in Chapter 1, Deep Diving into Cryptography, the binary system works with a set of bits of {0,1}. So, dealing with Boolean functions means performing logic calculations on a sequence of bits to generate an answer that could be either TRUE or FALSE.

The most frequently used functions are XOR (exclusive OR), OR (disjunction), and AND (conjunction). But there are a few other notations as well that will be explained soon.

A Boolean circuit aims to determine whether a variable, (x), combined with another variable, (y), satisfies the condition TRUE or FALSE. This problem is called the Boolean Satisfiability Problem (SAT) and it is of particular importance in computer science. SAT was the first problem to be shown as NP-complete. The question is as follows...

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