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University of Electronic Science and Technology of China

网络安全理论与实践

University of Electronic Science and Technology of China via XuetangX

Overview

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本课程面向博士/硕士研究生,纯英文授课,从密码学的角度讲述网络安全的原理、理论和技术。具体的,本课程主要以公钥密码体制中最经典的RSA公钥加密算法,Elgamal公钥加密算法以及椭圆曲线公钥加密算法为驱动,对这些算法涉及的数学基础知识进行系统性的介绍。通过本课程的学习,希望同学们能够对整除、同余、群以及椭圆曲线等初等数论和抽象代数的知识进行掌握和融会贯通,并在此基础上理解RSA,Elgamal以及ECC公钥加密算法的工作原理。




Syllabus

  • 0.Network Security- Theory and Technology
    • 1.An Introduction of Public Key Cryptography
      • 1.1 Private Key Cryptography
      • 1.2 Why Public Key Cryptography matters?
      • 1.3 What is Public Key Cryptography?
      • 1.4 Evolutions and Opportunities in Public Key Cryptography
    • 2.Mathematical Foundations of PKC
      • 2.1 Basic Group Theory
      • 2.2 Cyclic Group
    • 3.RSA PKC: from theory to practice
      • 3.0 RSA Public Key Cryptosystem- from theory to practice
      • 3.1 Primality Test
      • 3.2 The Fast Powering Algorithm
    • 4.Elgamal PKC
      • 4.Elgamal PKC
    • 5.Elliptic Curve Public Key Cryptography
      • 5.Elliptic Curve Public Key Cryptography
    • Final Exam

      Taught by

      Xiong Hu

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