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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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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

An overview of Grover’s algorithm

To illustrate the impact of quantum search on classical cryptography, imagine you have a symmetric algorithm with millions of millions of keys, and you are trying to find the right one to decrypt the ciphertext. Quantum search has the potential to find the right key in seconds or minutes, instead of days or even years!

Grover’s algorithm could brute force a 128-bit symmetric key in roughly 264 iterations or a 256-bit key in 2128 iterations. These iterations require a considerable number of qubits, which nowadays is only theoretically possible and not yet feasible.

The quantum search algorithm introduced by Lov Grover in 1996 is important for cryptography, but principally, it will be your introduction to the world of programming algorithms in quantum computing.

Searching for an instance in an unstructured dataset is similar to finding the correct decryption key in a set of random keys.

However, this kind of unstructured...

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