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bertaccini m cryptography algorithms guide algorithms 2022

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Textbook in PDF format Preface A Brief History and Outline of Cryptography Deep Diving into Cryptography An introduction to cryptography Binary numbers, ASCII code, and notations Fermat's Last Theorem, prime numbers, and modular mathematics A brief history and a panoramic overview of cryptographic algorithms Rosetta Stone Caesar cipher ROT13 The Beale cipher The Vernam cipher Notes on security and computation Summary Classical Cryptography (Symmetric and Asymmetric Encryption) Introduction to Symmetric Encryption Notations and operations in Boolean logic DES algorithms Simple DES DES Triple DES DESX AES Rijndael Description of AES Attacks and vulnerabilities in AES Summary Asymmetric Encryption Introduction to asymmetric encryption The pioneers The Diffie-Hellman algorithm The discrete logarithm Explaining the D-H algorithm Analyzing the algorithm Possible attacks and cryptanalysis on the D-H algorithm RSA Explaining RSA Analyzing RSA Conventional attacks on the algorithm The application of RSA to verify international treaties Unconventional attacks PGP The ElGamal algorithm Summary Introducing Hash Functions and Digital Signatures A basic explanation of hash functions Overview of the main hash algorithms Logic and notations to implement hash functions Explanation of the SHA-1 algorithm Notes and example on SHA-1 Authentication and digital signatures RSA digital signatures Digital signatures with the El Gamal algorithm Blind signatures Summary New Cryptography Algorithms and Protocols Introduction to Zero-Knowledge Protocols The main scenario of a ZKP – the digital cave Non-interactive ZKPs Schnorr's interactive ZKP An introduction to zk-SNARKs – spooky moon math Zk-SNARKs in Zcash cryptocurrency One-round ZKP ZK13 – a ZKP for identification and key exchange Summary New Algorithms in Public/Private Key Cryptography The genesis of the MB09 algorithm Introducing the MB09 algorithm An explanation of MB09 Introducing the MBXI algorithm A numerical example of MBXI Unconventional attacks on RSA Digital signatures on MBXI A direct signature method in MBXI The appendix signature method with MBXI A mathematical demonstration of the MBXI digital signature algorithm The evolution of MB09 and MBXI – an introduction to MBXX An explanation of the MBXX protocol Summary Elliptic Curves An overview of elliptic curves Operations on elliptic curves Scalar multiplication Implementing the D-H algorithm on elliptic curves Elliptic curve secp256k1 – the Bitcoin digital signature Step one – generating keys Step two – performing the digital signature in secp256k1 Step three – verifying the digital signature A numerical exercise on a digital signature on secp256k1 Attacks on EDCSA and the security of elliptic curves Step one – discovering the random key, [k] Step two – recovering the private key, [d] Considerations about the future of ECC Summary Quantum Cryptography Introduction to Q-Mechanics and Q-Cryptography An imaginary experiment to understand the elements of Q-Mechanics Step 1 – Superposition Step 2 – The indetermination process Step 3 – Spin and entanglement Q-Cryptography Quantum key distribution – BB84 Step 1 – Initializing the quantum channel Step 2 – Transmitting the photons Step 3 – Determining the shared key Analysis attack and technical issues Quantum computing Shor's algorithm Step 1 – Initializing the qubits Step 2 – Choosing the random number, a Step 3 – Quantum measurement Step 4 – Finding the right candidate, (r) Quantum Fourier Transform Step 5 – Factorizing (n) Notes on Shor's algorithm Post-Q-Cryptography Summary Homomorphic Encryption and the Crypto Search Engine Crypto Search Engine Introduction to CSE – homomorphism Partial homomorphism in RSA Analysis of homomorphic encryption and its implications Math and logic behind search engines Introduction to trees – graph theory Huffman code Hash and Boolean logic CSE explained The innovation in CSE Computational analysis on CSE Example of computational brute-force cracking Applications of CSE Summary Index About Packt Other Books You May Enjoy

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bertaccini m cryptography algorithms guide algorithms 2022