book

Cryptography Algorithms

by Massimo Bertaccini

March 2022

Intermediate to advanced

358 pages

7h 58m

English

Packt Publishing

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An introduction to cryptography Binary numbers, ASCII code, and notationsFermat's Last Theorem, prime numbers, and modular mathematics A brief history and a panoramic overview of cryptographic algorithmsRosetta StoneCaesar cipherROT13The Beale cipherThe Vernam cipherNotes on security and computationSummary
Notations and operations in Boolean logic DES algorithmsSimple DESDESTriple DES DESXAES RijndaelDescription of AESAttacks and vulnerabilities in AESSummary
Introduction to asymmetric encryptionThe pioneersThe Diffie-Hellman algorithmThe discrete logarithmExplaining the D-H algorithmAnalyzing the algorithmPossible attacks and cryptanalysis on the D-H algorithmRSA Explaining RSA Analyzing RSAConventional attacks on the algorithmThe application of RSA to verify international treatiesUnconventional attacksPGPThe ElGamal algorithmSummary
A basic explanation of hash functionsOverview of the main hash algorithmsLogic and notations to implement hash functionsExplanation of the SHA-1 algorithmNotes and example on SHA-1Authentication and digital signatures RSA digital signaturesDigital signatures with the ElGamal algorithmBlind signaturesSummary
The main scenario of a ZKP – the digital caveNon-interactive ZKPs Schnorr's interactive ZKP An introduction to zk-SNARKs – spooky moon mathZk-SNARKs in Zcash cryptocurrency One-round ZKP ZK13 – a ZKP for authentication and key exchangeSummary

The genesis of the MB09 algorithm Introducing the MB09 algorithmAn explanation of MB09 Introducing the MBXI algorithmA numerical example of MBXIUnconventional attacks on RSA Digital signatures on MBXIA direct signature method in MBXIThe appendix signature method with MBXIA mathematical demonstration of the MBXI digital signature algorithmThe evolution of MB09 and MBXI – an introduction to MBXX An explanation of the MBXX protocolSummary
An overview of elliptic curvesOperations on elliptic curvesScalar multiplicationImplementing the D-H algorithm on elliptic curves Elliptic curve secp256k1 – the Bitcoin digital signatureStep 1 – Generating keys Step 2 – Performing the digital signature in secp256k1Step 3 – Verifying the digital signatureA numerical exercise on a digital signature on secp256k1Attacks on EDCSA and the security of elliptic curves Step 1 – Discovering the random key, [k]Step 2 – Recovering the private key, [d]Considerations about the future of ECCSummary
Introduction to Q-Mechanics and Q-CryptographyAn imaginary experiment to understand the elements of Q-MechanicsStep 1 – SuperpositionStep 2 – The indetermination processStep 3 – Spin and entanglementQ-CryptographyQuantum key distribution – BB84Step 1 – Initializing the quantum channelStep 2 – Transmitting the photons Step 3 – Determining the shared keyAnalysis attack and technical issues Quantum computingShor's algorithm Step 1 – Initializing the qubitsStep 2 – Choosing the random number, aStep 3 – Quantum measurementStep 4 – Finding the right candidate, (r)Quantum Fourier TransformStep 5 – Factorizing (n)Notes on Shor's algorithm Post-Q-Cryptography Summary
Introduction to CSE – homomorphismPartial homomorphism in RSAAnalysis of homomorphic encryption and its implicationsMath and logic behind search engines Introduction to trees – graph theory Huffman codeHash and Boolean logicCSE explainedThe innovation in CSEComputational analysis on CSE Example of computational brute-force crackingApplications of CSESummary
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Overview

Cryptography Algorithms offers a comprehensive guide to modern cryptographic techniques, covering essential and advanced topics such as blockchain protocols, quantum cryptography, and zero-knowledge proofs. Learn the inner workings of encryption, explore vulnerabilities, and master the implementation of various cryptographic schemes in real-world applications.

What this Book will help me do

Understand the principles and functioning of cryptographic algorithms with clear illustrations.
Learn practical implementation techniques for advanced cryptographic topics like elliptic curves and quantum cryptography.
Gain insights on attack strategies to better defend against emerging security threats.
Explore cutting-edge developments like homomorphic encryption and zero-knowledge protocols in depth.
Enhance your ability to apply cryptographic techniques for blockchain and cybersecurity contexts.

Author(s)

Massimo Bertaccini is an experienced cryptographer with a profound understanding of both the theoretical and practical elements of cryptography. With years of research and teaching experience, Massimo expertly conveys complex topics through an accessible and engaging writing style. His dedication to advancing and sharing knowledge in the field is reflected in this comprehensive book.

Who is it for?

Cryptography Algorithms is perfect for IT professionals, cybersecurity specialists, and technology enthusiasts aspiring to deepen their understanding of encryption and cryptography. A basic knowledge of algebra and finite fields is recommended to make the most of this resource. If you're looking to apply cryptographic knowledge to innovative security solutions and enhance your career in tech, this book is for you.