Master the RSA Public Key Cryptosystem in 9 short lessons

所在平台: Udemy

课程主页: https://www.udemy.com/course/master-the-rsa-cryptosystem-in-9-short-lessons/

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**课程名称:9堂课掌握RSA公钥加密系统** **课程概述:** 本课程将深入浅出地讲解RSA公钥加密系统,这是当今世界最强大、应用最广泛的加密系统之一。虽然许多人对RSA加密有所了解,但能够从头到尾实际操作加密和解密的人却寥寥无几。 **课程内容涵盖:** * **数论基础:** 倍数、因子、乘积、模运算、整数整除性、素数、素因数分解、指数、指数定律、整数的二进制展开。 * **核心数学概念:** 欧拉phi函数、欧拉公式、费马小定理、欧几里得算法、扩展欧几里得算法、互质整数对。 * **RSA加密与解密:** 如何使用RSA公钥加密系统加密秘密消息,以及如何解密秘密消息。 * **辅助技术:** 移位密码、连续平方法。 * **相关数学领域:** 从小学到高中数学(初中数学、高中数学、预代数、代数I、代数II)、实际应用数学。 **课程目标:** 学完本课程后,您将完全掌握如何使用RSA公钥加密系统进行数据加密和解密。通过七个视频课程,您将熟悉所有必需的数学知识;而在最后两个视频中,您将学会如何将这些知识融会贯通,实现实际的加密(第8课)和解密(第9课)。 **数学难度:** 本课程涉及的数学知识令您惊讶的是,它基本涵盖了您在10年级(高中二年级)之前就已经掌握的内容。这门课程旨在展示您在中学阶段所学的数学知识在现实生活中的实际应用。 **课程时长与形式:** 课程设计简洁高效,视频平均时长不足10分钟,练习题可在20-30分钟内完成。课程旨在让您在有限的时间内,开启新的视野,发现数学的无限可能。

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The RSA Public Key Cryptosystem is one of the best and widely used cryptosystems in the world today. Some people can talk a little about some of what RSA Encryption entails, but very few people can actually encrypt (and decrypt) data from start to finish using the RSA Public Key Cryptosystem. Other topics covered during the course: Number Theory, Multiples, Factors, Products, Modular Arithmetic, Divisibility of Integers, Prime Numbers, Prime Factorization, Exponents, Exponential Laws, Binary Expansion of Integers, The Euler Phi Function, Euler's Formula, Fermat's Little Theorem, The Euclidean Algorithm, The Extended Euclidean Algorithm, Relative Prime Pairs of Integers, Encryption of secret messages, Decryption of secret messages, Shift Cypher, Successive Squaring, Middle School Mathematics, High School Mathematics, Pre-Algebra, Algebra I, Algebra II, Real-life Mathematics.After this course you will know exactly how to encrypt and decrypt data using the RSA Public Key Cryptosystem. In seven video lessons you will become familiar with all the mathematics that is needed. In the last two videos you will learn exactly how to put that knowledge together to encrypt (lesson 8) and decrypt (lesson 9) data.The level of mathematics involved is going to be a pleasant surprise. As an experienced middle and high school mathematics teacher I can tell you with confidence that by the time you were done with 10th grade, you knew (or should have known) all the math in this course. Who would ever wonder where the mathematics they took in Middle and High School ever gets used in real life?I tried to be thorough but managed to keep the course short. I know you do not have much time to watch videos and I do not have much time to make videos. The average length of the videos is under 10 minutes and the worksheets should never take you more than 20 or 30 minutes. Who knows what new horizons you will see or what doors might open up for you after this course. I am excited for you.

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