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Cryptography Algorithms
Cryptography Algorithms

Cryptography Algorithms: Explore New Algorithms in Zero-knowledge, Homomorphic Encryption, and Quantum Cryptography , Second Edition

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Cryptography Algorithms

Deep Dive into Cryptography

Welcome to the world of cryptography. In this book, you will discover the secrets behind this fascinating science that may be very important for your career as well as for your general knowledge. At the end of this book, you will be able to understand the most important algorithms that make cryptography great and have discovered some of the new ones invented and implemented by me in my career. I hope your journey in reading this book will be enjoyable, and that you will reach your academic and professional goals.

This chapter introduces you to cryptography, what it is needed for, and why it is so important in IT. This chapter also gives a panoramic view of the principal algorithms from the history of cryptography, from the Caesar cipher to the Vernam cipher and other lesser-known algorithms, such as the Beale ciphers. Then, Rivest-Shamir-Adleman (RSA), Diffie–Hellman, Advanced Encryption Standard (AES), zero-knowledge, elliptic curves, homomorphic...

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This chapter provides an introduction to cryptography, what it is needed for, and why it is so important in IT. This chapter also gives a panoramic view of the principal algorithms from the history of cryptography, from the Caesar algorithm to the Vernam cipher and other lesser-known algorithms, such as the Beale cipher. Then, Rivest-Shamir-Adleman (RSA), Diffie–Hellman, and other famous algorithms will be described in detail in the proceeding part of this book. Finally, this chapter will give you the instruments to learn cryptography and the pillars of security conservation.In this chapter, we will cover the following topics:

  • A brief introduction to cryptography
  • Basic definitions and principal mathematical notations used in the book
  • Binary conversion and ASCII code
  • Fermat Last's Theorem, prime numbers, and modular mathematics
  • The history of the principal cryptographic algorithms and an explanation of some of them...

An introduction to cryptography

One of the most important things in cryptography is to understand definitions and notations. I have never been a fan of definitions and notations, first of all, because I am the only one to use notations that I've invented. But I realize that it is very important, especially when we are talking about something related to mathematics, to agree among ourselves. Thus, in this section, I will introduce basic information and citations relating to cryptography.We start with a definition of an algorithm.In mathematics and computer science, an algorithm is a finite sequence of well-defined computer-implementable instructions.An important question is: what is a cipher?A cipher is a system of any type able to transform plaintext (a message) into not-intelligible text (a ciphertext or cryptogram):

Figure 1.1 – Encryption process

To get some utility from a cipher, we have to set up two operations: encryption and decryption. In simpler terms, we have to...

A brief history and a panoramic overview of cryptographic algorithms

Nobody probably knows which cryptogram was the first to be invented. Cryptography has been used for a long time, approximately 4,000 years, and it has changed its paradigms a lot. First, it was a kind of hidden language, then cryptography was based on a transposition of letters in a mechanical fashion, then finally, mathematics and logic were used to solve complicated problems. What will the future hold? Probably, new methods will be invented to hide our secrets: quantum cryptography, for example, is already being experimented with and will come soon. I will explain new algorithms and methods throughout this book, but let me use this section to show you some interesting ciphers related to the classical period. Despite the computation power we have now, some of these algorithms have not yet been broken.

Rosetta Stone

One of the first extraordinary examples of cryptography was hieroglyphics. Cryptography means hidden...

Notes on security and computation

All the algorithms we have seen in this chapter are symmetric. The basic problem that remains unsolved is the transmission of the key. As I've already said, this problem will be overcome by the asymmetric cryptography that we will explore in the next chapter. In this section, we will analyze the computational problem related to the security of cryptographic algorithms generally speaking. Later in the book, we will focus on the security of any algorithm we will analyze.To make a similitude, we can say that in cryptography the weak link of the chain destroys the entire chain. That is the same problem as using a very strong cryptographic algorithm to protect the data but leaving its password on the computer screen. In other words, a cryptographic algorithm has to be made of a similar grade of security with respect to mathematical problems. To clarify this concept with an example: factorization and discrete logarithm problems hold similar computational...

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Key benefits

  • Explore the basic principles and history of cryptography
  • Identify key vulnerabilities and evaluate how cryptographic algorithms defend against attacks
  • Become a forward-thinking cryptographer by learning the new protocols in zero knowledge, homomorphic encryption and quantum cryptography

Description

This updated edition takes you on an journey through the realm of cryptographic science, providing an in-depth exploration of its history, principles, and the latest cutting-edge developments. You will learn the mathematical logic of how algorithms encrypt and decrypt messages, introducing more complex math as the book progresses. By getting your foot in the door with how elliptic curves, zero knowledge protocols, homomorphic encryption, and quantum computing shape today’s cybersecurity landscape and its attacks and defenses, you will have the groundwork on which to build professional cryptographic experience. This edition will help keep you up to date with the most innovative cryptographic algorithms, ensuring you're well-prepared to navigate the rapidly evolving world of data privacy and cybersecurity. With a focus on emerging trends and challenges, including quantum cryptography you'll acquire the knowledge needed to stay at the forefront of this dynamic field. With the latest updates and an expanded scope, this new edition ensures you're well-prepared to face the ever-evolving landscape of cybersecurity with confidence and expertise.

Who is this book for?

This book is for beginners who are IT professionals, students, cybersecurity enthusiasts, and anyone who wants to develop skills in modern cryptography and build a successful cybersecurity career. The book systematically addresses mathematical issues related to the algorithms that may arise. However, a prior knowledge of university-level mathematics, algebra, its main operators, modular mathematics, and finite fields theory is required. Some knowledge of elliptic curves and quantum computing, especially matrices and plotting curves would also be beneficial to get the most out of this book.

What you will learn

  • Get to grips with essential encryption algorithms and their logical basics
  • Identify the key vulnerabilities of AES, RSA, and many other symmetric and asymmetric algorithms
  • Apply the logic and mathematics behind cryptographic attacks on asymmetric encryption
  • Discover emerging technologies like zero-knowledge protocols and homomorphic encryption
  • Understand fundamentals of lightweight encryption for IoT and discover a new algorithm in this field
  • Dive deep into quantum cryptography with the Shor and Grover algorithms
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Publication date, Length, Edition, Language, ISBN-13
Publication date : Aug 12, 2024
Length: 410 pages
Edition : 2nd
Language : English
ISBN-13 : 9781835080030
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Length: 410 pages
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Table of Contents

16 Chapters
Section 1: A Brief History and Outline of Cryptography Chevron down icon Chevron up icon
Deep Dive into Cryptography Chevron down icon Chevron up icon
Section 2: Classical Cryptography (Symmetric and Asymmetric Encryption) Chevron down icon Chevron up icon
Symmetric Encryption Algorithms Chevron down icon Chevron up icon
Asymmetric Encryption Algorithms Chevron down icon Chevron up icon
Hash Functions and Digital Signatures Chevron down icon Chevron up icon
Section 3: New Cryptography Algorithms and Protocols Chevron down icon Chevron up icon
Zero-Knowledge Protocols Chevron down icon Chevron up icon
New Inventions in Cryptography and Logical Attacks Chevron down icon Chevron up icon
Elliptic Curves Chevron down icon Chevron up icon
Homomorphic Encryption and Crypto Search Engine Chevron down icon Chevron up icon
Section 4: Quantum Cryptography Chevron down icon Chevron up icon
Quantum Cryptography Chevron down icon Chevron up icon
Quantum Search Algorithms and Quantum Computing Chevron down icon Chevron up icon
Other Books You May Enjoy Chevron down icon Chevron up icon
Index Chevron down icon Chevron up icon

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N/A Oct 17, 2024
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Reading recent issues on cryptography helps me to increase the arguments I use to find scenarios and explain to the managers of the companies that hire my services how cryptography helps to answer questions and concerns about how to keep information secure.
Feefo Verified review Feefo
Byron Gorman Aug 14, 2024
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This book not only builds a crypto foundation but it teachers about real world instances where crypto has been used on servel levels. Providing practical examples and instances where cryptography has been used to solve and provide encryption algorithm as a security solution. I enjoyed the fact that we stepped through the different types of encryption and the way they can be used in the modern world. This book brings you out of the dark on the art of encryption and shines a brilliant light through the fog and misconception about cryptography.This book is an excellent read and it's one to put in your cyber library.
Amazon Verified review Amazon
SRP Aug 26, 2024
Full star icon Full star icon Full star icon Full star icon Full star icon 5
Although the book is aimed at beginner-level IT professionals, students, and cybersecurity enthusiasts, I found certain parts of it hard going, especially since it has been a few decades since I last studied university-level mathematics. However, any decent book on Crypto Algorithms without covering mathematics will leave its readers short-changed. Hence, the inclusion of this in the book is a positive thing.Sections 1 and 2 will introduce you to some of the historical aspects of cryptography and the classical symmetric and asymmetric encryption protocols and standards. It is an excellent way to lay down the foundations.Section 3 covers the newer algorithms and protocols. I found the Zero-Knowledge Protocols (ZKP) chapter of particular interest and relevance since it concerns authentication and identity. I enjoyed the author's scenario-based explanation of ZKP (labelled as ". . . the digital cave"), which is a great way to explain a complex topic.Chapter 6, which covers Lightweight encryption (amongst other topics), will be particularly appealing to those with a keen interest in IoT security. The inclusion of a Lightweight encryption Algorithms (LEA/LE) was a highlight for me, and I'm sure it will be for you too.In section 4, we transition over the emerging trends and threats of Quantum Cryptography—an essential topic for any cybersecurity professional. Buckle up for the chapter; you are in for a treat (well, if you are a nerd like me! 🤓 ) - I was fully expecting to read about quantum algorithms, but seeing Q-Mechanics included as well was like a kid in a candy shop.With all that said, is the book worth buying? In my opinion, the wealth of knowledge and insights it offers make it a resounding YES!
Amazon Verified review Amazon
Davide Carmeci Aug 12, 2024
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In this second edition, the book continues to excel in explaining the fundamentals of cryptography and its crucial role in enabling security in modern technologies. It goes a step further by adding insightful chapters on Quantum Cryptography, providing a thorough understanding of this emerging field. These additions make the book even more comprehensive, ensuring it remains an essential resource for anyone interested in the evolving landscape of cryptographic technologies.
Amazon Verified review Amazon
Muldwych Aug 20, 2024
Full star icon Full star icon Full star icon Full star icon Full star icon 5
As a cybersecurity professional in digital forensics with over 20 years in IT, I found this book strikes a good balance between foundational concepts and more advanced, cutting-edge topics. The sections on classical cryptography, digital signatures, and symmetric/asymmetric encryption are clear and practical, while the exploration of emerging trends like quantum cryptography and zero-knowledge proofs offers insights into the future. The advanced material can be dense, but overall, this is an excellent resource for both beginners and those looking to deepen their cryptography knowledge.
Amazon Verified review Amazon
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