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Sang-Yoon Chang

Welcome to Asymmetric Cryptography and Key Management!

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Welcome to Asymmetric Cryptography and Key Management!

In asymmetric cryptography or public-key cryptography, the sender and the receiver use a pair of public-private keys, as opposed to the same symmetric key, and therefore their cryptographic operations are asymmetric. This course will first review the principles of asymmetric cryptography and describe how the use of the pair of keys can provide different security properties. Then, we will study the popular asymmetric schemes in the RSA cipher algorithm and the Diffie-Hellman Key Exchange protocol and learn how and why they work to secure communications/access. Lastly, we will discuss the key distribution and management for both symmetric keys and public keys and describe the important concepts in public-key distribution such as public-key authority, digital certificate, and public-key infrastructure. This course also describes some mathematical concepts, e.g., prime factorization and discrete logarithm, which become the bases for the security of asymmetric primitives, and working knowledge of discrete mathematics will be helpful for taking this course; the Symmetric Cryptography course (recommended to be taken before this course) also discusses modulo arithmetic.

This course is cross-listed and is a part of the two specializations, the Applied Cryptography specialization and the Introduction to Applied Cryptography specialization.

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What's inside

Syllabus

Asymmetric Cryptography Overview
This module reviews the principles and requirements of asymmetric cryptography, which uses a pair of keys - with one party using a public key and the other using the corresponding private key or vice versa - in contrast to symmetric cryptography using a shared secret key.
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Teaches how the use of a pair of keys can provide different security properties
Delves into popular asymmetric schemes such as the RSA cipher algorithm and the Diffie-Hellman Key Exchange protocol
Explores key distribution and management approaches, including those based on public-key certificates and public-key infrastructure
Discusses the mathematical concepts that underpin asymmetric primitives, such as prime factorization and discrete logarithm
Assumes working knowledge of discrete mathematics, and it is recommended to take the Symmetric Cryptography course beforehand
Instructors Sang-Yoon Chang are not widely recognized for their work in asymmetric cryptography

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Reviews summary

Foundation in asymmetric cryptography

According to learners, this course provides a solid foundation in the core principles of asymmetric cryptography, including RSA and Diffie-Hellman algorithms and key management. Many found the course content well-structured and the explanations clear and easy to follow, even for complex topics like mathematical concepts. While some noted the material is inherently challenging, especially without the recommended math background or the preceding symmetric cryptography course, the majority felt the course successfully broke down complex ideas. The focus is primarily theoretical, which students appreciated for building conceptual understanding, though some hoped for more practical applications or labs. Overall, it's viewed as a highly valuable introduction to the field.
Course is heavy on theory, lighter on practice.
"The course is very theoretical, which is great for understanding the 'why' behind the algorithms."
"It's a bit light on practical implementation details, focusing more on the math and concepts."
"Could use more real-world examples or hands-on application."
"If you're looking for coding labs, this isn't it; it's pure theory."
Strong math background is beneficial for understanding.
"A good understanding of discrete mathematics is highly recommended."
"Having taken the symmetric crypto course beforehand definitely helped, especially with the math."
"While the instructor explains the math, prior knowledge of discrete math is a big plus."
"The mathematical basis is challenging but well-covered if you have the background."
Modules are logical and build understanding.
"The course is logically structured, building from principles to specific algorithms."
"Modules are well-organized and easy to follow."
"The flow from RSA to Diffie-Hellman and then key management made sense."
"Content is presented in a coherent and digestible manner."
Provides a strong base in key asymmetric algorithms.
"This course provides a solid foundation in asymmetric cryptography concepts and key algorithms like RSA and Diffie-Hellman."
"Excellent course if you want to understand the core mechanics of public-key cryptography."
"Gave me a deep understanding of the fundamental principles."
"Really helped solidify my understanding of how these algorithms work."
Complex math and concepts are clearly explained.
"The instructor explains complex mathematical concepts and algorithms clearly."
"Very good course covering the fundamental algorithms. The explanation of math is easy to follow."
"It explains the mathematical concepts well, which is essential for understanding the algorithms."
"I found the explanations of RSA and Diffie-Hellman very clear and easy to grasp."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Asymmetric Cryptography and Key Management with these activities:
Review the Textbook: 'Applied Cryptography'
Reading 'Applied Cryptography' will provide you with a comprehensive understanding of asymmetric cryptography and its applications.
Show steps
  • Purchase or borrow a copy of the textbook.
  • Read the textbook carefully, taking notes as you go.
  • Complete the exercises and problems in the textbook.
Review RSA Encryption Algorithm
Reviewing the RSA Encryption Algorithm will help you better understand the principles of asymmetric cryptography.
Browse courses on RSA Algorithm
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  • Read the course material on RSA Encryption Algorithm.
  • Review your notes on RSA Encryption Algorithm.
  • Do practice problems on RSA Encryption Algorithm.
Solve RSA Encryption and Decryption Problems
Solving practice problems will help you improve your skills in using the RSA Encryption and Decryption Algorithm.
Browse courses on RSA Algorithm
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  • Find practice problems online or in textbooks.
  • Solve the practice problems.
  • Check your answers and learn from your mistakes.
Four other activities
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Show all seven activities
Create a Diffie-Hellman Key Exchange Protocol Presentation
Creating a presentation will help you solidify your understanding of the Diffie-Hellman Key Exchange Protocol and its applications.
Show steps
  • Learn about the Diffie-Hellman Key Exchange Protocol.
  • Gather your research and materials.
  • Create your presentation.
  • Practice your presentation.
  • Deliver your presentation.
Volunteer at a Cybersecurity Workshop
Volunteering at a cybersecurity workshop will give you hands-on experience with asymmetric cryptography and other cybersecurity concepts.
Browse courses on Asymmetric Cryptography
Show steps
  • Find a cybersecurity workshop in your area.
  • Contact the organizers and express your interest in volunteering.
  • Attend the workshop and volunteer your time.
Participate in a Cryptography Competition
Participating in a cryptography competition will challenge you to apply your knowledge of asymmetric cryptography and other cryptography concepts in a competitive setting.
Browse courses on Asymmetric Cryptography
Show steps
  • Find a cryptography competition that you are interested in.
  • Register for the competition.
  • Prepare for the competition by studying and practicing your cryptography skills.
  • Compete in the competition.
Contribute to an Open-Source Cryptography Project
Contributing to an open-source cryptography project will give you hands-on experience with real-world cryptography applications.
Browse courses on Asymmetric Cryptography
Show steps
  • Find an open-source cryptography project that you are interested in.
  • Contact the project maintainers and express your interest in contributing.
  • Read the project documentation and familiarize yourself with the codebase.
  • Make a contribution to the project.

Career center

Learners who complete Asymmetric Cryptography and Key Management will develop knowledge and skills that may be useful to these careers:
Cryptographer
A Cryptographer designs and analyzes cryptographic algorithms and protocols. They use their knowledge of mathematics and computer science to develop new ways to protect information from unauthorized access and modification. This course may be useful for this role because it provides a strong foundation in the mathematical concepts underlying cryptography, such as prime factorization and discrete logarithms.
Cryptanalyst
A Cryptanalyst analyzes and breaks cryptographic systems. They use their knowledge of mathematics and computer science to find weaknesses in cryptographic algorithms and protocols. This course may be useful for this role because it provides a strong foundation in the mathematical concepts underlying cryptography, such as prime factorization and discrete logarithms.
Security Consultant
A Security Consultant advises organizations on how to protect their information assets from security threats. They work with clients to identify risks, develop security strategies, and implement security measures. This course may be useful for this role because it provides a comprehensive overview of key management and public-key infrastructure, which are essential for securing large networks and systems.
Blockchain Developer
A Blockchain Developer designs and develops blockchain applications. They use their knowledge of blockchain technology and programming languages to create decentralized and secure applications. This course may be useful for this role because it provides a strong foundation in cryptography, which is essential for understanding how blockchain works and how to develop secure blockchain applications.
Security Architect
A Security Architect designs and implements security solutions for complex systems and networks. They use their knowledge of security principles and technologies to develop and deploy security measures that protect organizations from cyberattacks. This course may be useful for this role because it provides a comprehensive overview of key management and public-key infrastructure, which are essential for securing large networks and systems.
Penetration Tester
A Penetration Tester simulates cyberattacks on an organization's systems and networks to identify vulnerabilities and weaknesses. They use their knowledge of security tools and techniques to exploit vulnerabilities and make recommendations for improvement. This course may be useful for this role because it provides a deep understanding of asymmetric cryptography, which is used to secure communications and data.
Cryptocurrency Developer
A Cryptocurrency Developer designs and develops cryptocurrency systems. They use their knowledge of blockchain technology and cryptography to create new cryptocurrencies and digital assets. This course may be useful for this role because it provides a strong foundation in cryptography, which is essential for understanding how cryptocurrencies work and how to develop secure cryptocurrency systems.
Network Security Engineer
A Network Security Engineer designs, implements, and maintains network security systems. They use their knowledge of networking and security principles to protect networks from unauthorized access and attacks. This course may be useful for this role because it provides a deep understanding of asymmetric cryptography, which is used to secure network communications and data.
IT Auditor
An IT Auditor evaluates the security of an organization's information systems and networks. They use their knowledge of audit procedures and security principles to identify and assess risks, and to make recommendations for improvement. This course may be useful for this role because it provides a deep understanding of key management and public-key infrastructure, which are essential for securing large networks and systems.
Information Security Analyst
An Information Security Analyst protects an organization's computer systems and networks from cyberattacks. They use their knowledge of security principles and best practices to identify and address vulnerabilities. This course may be useful for this role because it provides a deep understanding of asymmetric cryptography, which is used to secure communications and data.
Cybersecurity Analyst
A Cybersecurity Analyst monitors and analyzes network traffic to identify and respond to security threats. They use their knowledge of security tools and techniques to investigate security incidents and mitigate risks. This course may be useful for this role because it provides a strong foundation in cryptography, which is essential for understanding and analyzing security threats and vulnerabilities.
Malware Analyst
A Malware Analyst investigates and analyzes malware to understand how it works and how to protect against it. They use their knowledge of reverse engineering and security principles to identify vulnerabilities and develop countermeasures. This course may be useful for this role because it provides a strong foundation in cryptography, which is essential for understanding how malware works and how to defend against it.
Digital Forensic Investigator
A Digital Forensic Investigator recovers and analyzes digital evidence from computers and other electronic devices. They use their knowledge of forensic techniques and security principles to investigate cybercrimes and other digital crimes. This course may be useful for this role because it provides a deep understanding of key management and public-key infrastructure, which are essential for understanding how digital evidence is stored and protected.
Incident Responder
An Incident Responder investigates and responds to security incidents. They use their knowledge of security procedures and tools to identify and contain threats, and to restore systems and data. This course may be useful for this role because it provides a strong foundation in cryptography, which is essential for understanding how to secure communications and data.
Software Developer
A Software Developer conceives, designs, and builds software systems. They use their programming knowledge and development tools to create applications that meet user needs. This course may be useful for this role because it provides a solid foundation in cryptography, which is essential for developing secure software systems.

Reading list

We've selected 12 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Asymmetric Cryptography and Key Management.
This comprehensive reference book delves into the technical details of cryptographic algorithms and protocols. While it may be more challenging to digest, it is an invaluable resource for researchers and advanced learners seeking a deeper understanding of the subject matter.
Serves as a comprehensive guide to applied cryptography, providing an in-depth understanding of cryptographic algorithms, protocols, and source code. It valuable resource for supplementing the course content and exploring practical applications of asymmetric cryptography.
This textbook offers a balanced approach to cryptography, covering both theoretical foundations and practical applications. It provides a comprehensive overview of asymmetric cryptography and can serve as a useful reference for students seeking a deeper understanding of the subject.
This textbook offers a comprehensive overview of modern cryptography from a mathematical perspective. It covers the fundamental concepts and techniques of asymmetric cryptography, providing a solid theoretical foundation for understanding the course material.
Focuses on the design and implementation of cryptographic systems. It provides practical guidance on how to apply cryptographic techniques effectively in real-world applications.
This collection of lecture notes offers a concise introduction to the mathematical foundations of cryptography. It useful resource for gaining a solid understanding of the underlying principles behind asymmetric cryptography.
Stallings' book offers a broader perspective on cryptography and network security, encompassing both symmetric and asymmetric cryptography. It provides additional insights into key management and distribution, making it a useful reference for expanding your knowledge beyond the course scope.
Provides a foundation in number theory, which is essential for understanding the mathematical principles behind asymmetric cryptography. It valuable resource for those seeking a deeper understanding of the subject matter.
While not directly covered in the course, this book provides an advanced treatment of elliptic curve cryptography, a specialized area of public-key cryptography. It suitable reference for those interested in exploring this topic in more depth.
Stallings' book covers network security topics, including cryptography. While it may provide some additional context, it is less focused on the specific topics of asymmetric cryptography and key management covered in the course.
The book provides a broad overview of mathematics that is used in computer science, covering discrete mathematics and some number theory. While it is not specific to cryptography, it could serve as a useful background resource for understanding the mathematical concepts used in the course.
This popular science book provides a non-technical introduction to cryptography, tracing its history and exploring its applications in various fields. It is an engaging read for those interested in the broader context and historical development of cryptography.

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