Asymmetric Cryptography and Key Management

University of Colorado System

Welcome to the Asymmetric Cryptography and Key Management course! This program delves deep into the world of asymmetric cryptography and key management, offering a comprehensive understanding of the principles, algorithms, and protocols that underpin secure communications and access control. Throughout the course, you will explore the foundational concepts of asymmetric cryptography and the use of public-private key pairs to achieve different security properties. Additionally, you will delve into the popular asymmetric schemes, such as the RSA cipher algorithm and the Diffie-Hellman Key Exchange protocol, gaining valuable insights into their workings and significance in securing communications and access. Furthermore, the course delves into the crucial aspects of key distribution and management for both symmetric keys and public keys, covering topics like public-key authority, digital certificates, and public-key infrastructure. Mathematical concepts, including prime factorization and discrete logarithm, are also explained in the context of their role in securing asymmetric primitives.

Whether you are looking to deepen your knowledge of cryptographic principles or seeking to enhance your understanding of key management in modern security systems, this course provides a valuable opportunity to expand your expertise in the realm of applied cryptography. It is recommended that learners have a working knowledge of discrete mathematics and have completed the Symmetric Cryptography course before taking this program.

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Asymmetric Cryptography and Key Management
Course Modules

This course is divided into four modules, each providing in-depth insights into asymmetric cryptography, the RSA algorithm, the Diffie-Hellman key exchange, and key distribution and management. Gain a comprehensive understanding of cryptographic principles and protocols essential for securing communications and access control.

Asymmetric Cryptography Overview

Module 1: Asymmetric Cryptography Overview

  • Gain a comprehensive understanding of asymmetric cryptography principles and the use of public-private key pairs.
  • Explore asymmetric encryption for message confidentiality and digital signature for authentication.
  • Understand cipher requirements and trapdoor one-way functions.

RSA Algorithm

Module 2: RSA Algorithm

  • Delve into the prime factorization problem and the workings of the RSA encryption and decryption.
  • Learn about RSA key setup, security, and operations, including a detailed examination of the RSA algorithm.

Diffie-Hellman Key Exchange

Module 3: Diffie-Hellman Key Exchange

  • Understand the discrete logarithm problem and the primitive root of a prime integer.
  • Explore the Diffie-Hellman key exchange overview and protocol, including the potential vulnerabilities such as the man-in-the-middle attack.

Key Distribution and Management

Module 4: Key Distribution and Management

  • Gain insights into key distribution approaches, key hierarchy, decentralized key distribution, and public-key authority.
  • Learn about public-key certificates, public-key infrastructure (PKI), and the fundamentals of key distribution and management.
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