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Cryptography Algorithms

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

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Product type Paperback
Published in Aug 2024
Publisher Packt
ISBN-13 9781835080030
Length 410 pages
Edition 2nd 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 (17) Chapters Close

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

Digital signatures on MBXI

Returning to MBXI, we notice that [x], the reformulated encryption key, is able to perform the encryption:

[x] results in the inverse of [y], the decryption key, in the following function:

In mathematical language, the encryption equation looks as follows:

This result is the inverse of the decryption equation, [y]:

Let’s perform a test with numbers to understand it better:

  • x = 3009
  • y = 4955

If we input x = 3009 in the inverse function (mod p-1), we can find the result [y] using Mathematica:

That means if Bob sends a message using MBXI, he will share a [secret key] type with Alice.

Another problem arises: how is it possible to avoid a MiM attack in a symmetric algorithm?

As you can see, MBXI has more characteristics of an asymmetric algorithm than a symmetric algorithm, so let’s analyze the algorithms of the digital signature for MBXI.

As we have learned...

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