Tutorial Cryptography for Beginners
This tutorial is intended to novice who wants to be familiar with lattice based cryptography and cryptosystem.
Download free PDF tutorial about cryptography and cryptosystem by Peikert's Bonn.
Table of contents
- Mathematical and Computational Background
- Short Integer Solution and Learning With Errors
- Hard problems
- Short Integer Solution
- Public-Key Cryptosystem using LWE
- Dual cryptosystem
- More efficient Cryptosystem
- Lattice Background
- The Ring of Integers and Its Ideals
- Discrete Fourier Transform & Chinese Remainder Transform
- Powerful basis
- Gram-Schmidt orthogonalization of CRTm
- Chinese Remainder Basis and Fast Ring Operation
- Implementation of Decoding Operation
- Gaussian sampling in the Decoding Basis
- Compact Public-key Cryptosystem
- Homomorphic Cryptosystem
- Cryptanalysis of GGH map
- Notes on Cyclotomic Fields with Examples
- Cyclotomic Number Fields & Ring of Integers
- Fractional ideals
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This tutorial has been prepared for the beginners to help them understand basic Cryptology Others. After completing this tutorial you will find yourself at a moderate level of expertise in Cryptology from where you can take yourself to next levels.
This tutorial is designed for Cryptology students who are completely unaware of Cryptology concepts but they have basic understanding on Others training.
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