Finite Fields

An Introduction to Cryptography: ECIES and Elliptic Curve Encryption Algorithms

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An Introduction to Cryptography: ECIES and Elliptic Curve Encryption Algorithms

IntroductionThis article quickly describes the basic knowledge of elliptic curve algorithms, extending to the principles and practical engineering applications of the commonly used ECIES integrated encryption framework. The aim is to keep it concise, avoiding unnecessary knowledge. A high school level understanding of mathematics is sufficient to read this article. Concepts such as finite fields … Read more

Organizing Notes | Team Learning Cryptography Session 6: Basics of Cryptographic Mathematics – Finite Fields

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Organizing Notes | Team Learning Cryptography Session 6: Basics of Cryptographic Mathematics - Finite Fields

1. Operations In simple terms, a group ring field is a collection with operations. Let’s first look at some content related to operations. An operation is actually a mapping from one set to another: We call an operation involving n operands an n-ary (target) operation; specifically, if n=2, it is called a binary operation. At … Read more

Understanding Elliptic Curve Cryptography Assignments

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Understanding Elliptic Curve Cryptography Assignments

Created: 2023-12-08 14:17 https://scz.617.cn/misc/202312081417.txt A few days ago, I recommended Andrea Corbellini’s series on elliptic curve cryptography, which consists of four articles that are very exciting and easy to understand. https://andrea.corbellini.name/2015/05/17/elliptic-curve-cryptography-a-gentle-introduction/ https://andrea.corbellini.name/2015/05/23/elliptic-curve-cryptography-finite-fields-and-discrete-logarithms/ https://andrea.corbellini.name/2015/05/30/elliptic-curve-cryptography-ecdh-and-ecdsa/ https://andrea.corbellini.name/2015/06/08/elliptic-curve-cryptography-breaking-security-and-a-comparison-with-rsa/ Many people have shared and saved these articles, but from my twenty years of experience, the vast majority are just “sharing … Read more