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Cryptography Algorithms

You're reading from Cryptography Algorithms Explore New Algorithms in Zero-knowledge, Homomorphic Encryption, and Quantum Cryptography

Product type Paperback

Published in Aug 2024

Publisher Packt

ISBN-13 9781835080030

Length 410 pages

Edition 2nd Edition

Concepts

Cryptography

Author (1):

Massimo Bertaccini

View More author details

Table of Contents (17) Chapters

Preface

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

2. Deep Dive into Cryptography

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

4. Symmetric Encryption Algorithms

5. Asymmetric Encryption Algorithms

6. Hash Functions and Digital Signatures

7. Section 3: New Cryptography Algorithms and Protocols

8. Zero-Knowledge Protocols

9. New Inventions in Cryptography and Logical Attacks

10. Elliptic Curves

11. Homomorphic Encryption and Crypto Search Engine

12. Section 4: Quantum Cryptography

13. Quantum Cryptography

14. Quantum Search Algorithms and Quantum Computing

15. Other Books You May Enjoy

16. Index

Introduction to trees: graph theory

A tree graph is a discrete mathematic structure visualized in a geometrical representation as a tree. Graphs are used in mathematics such as in AI and other fields of applications to make decisions, to represent the best path to reach a destination. As we will see in the next section, the Huffman code can be used in tree graphs to encode text.

A tree graph uses vertices (v), also called nodes or points, that are related to each other. Each of the related pairs of nodes is called an edge (or link or line) and two nodes are connected by only one path.

In the following figure, you can see a tree where 1 is the root of the tree, 2 to 7 are the nodes, and 8 to 15 are the leaves. The segments that link each of the points are the edges.

Figure 8.11: A tree graph

We have seen many cryptographic algorithms in this book. The main scope of these algorithms is related to data security. However, the main scope of the algorithms we are now...

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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.

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