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Natalia Tokareva, George Pintus, Anastasiya Gorodilova, Kutsenko Aleksandr, and Stjepan Picek
The course invites you to learn more about cryptography; you'll learn some important math which stands behind the ciphers, and defines how resistant the particular cipher will be to different types of attacks. The key topics covered in the course: * how...
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The course invites you to learn more about cryptography; you'll learn some important math which stands behind the ciphers, and defines how resistant the particular cipher will be to different types of attacks. The key topics covered in the course: * how cryptography developed in Russia and in the Soviet Union, including the facts which used to be top secret until very recent times; * Boolean functions and S-boxes, and how the resistance of a cipher depends on a cryptographic properties of a Boolean function; * methods of cryptanalysis * some special and most intriguing types of cryptographic Boolean functions: bent functions and APN-functions (Almost Perfect Nonlinear Functions) * AI and ML for cryptography. Welcome to the course, and enjoy your learning!
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Good to know

Know what's good
, what to watch for
, and possible dealbreakers
This course provides an excellent foundation in cryptography, exploring the mathematics behind ciphers and their resistance to different attacks
Covers the development of cryptography in Russia and the Soviet Union, including previously top-secret information
Examines Boolean functions, S-boxes, and their impact on cipher resistance
Introduces advanced cryptographic concepts like bent functions and APN-functions
Explores the cutting-edge intersection of AI and ML with cryptography

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Reviews summary

Challenging but informative cryptography

Students describe this course on cryptography and boolean functions as challenging but very interesting. Students found the material very useful and say that the course covers topics on boolean functions that most universities do not.
This course is very informative.
"This course treats material on boolean functions that isn't treated much at most universities."
This course is very interesting.
"a chanllenging and interesting course !"
"It was very interesting and quite useful lectures."
This course will challenge you.
"tough but challenging"

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 Cryptography: Boolean functions and related problems with these activities:
Review 'Introduction to Cryptography' by Douglas Stinson
This book provides a comprehensive overview of the field of cryptography, including the history of cryptography, different types of cryptosystems, and modern applications of cryptography.
Show steps
  • Read a specific chapter and review the concepts discussed.
  • Work through the practice problems and exercises provided in the book.
  • Summarize the main points of the chapter in your own words.
Find a Mentor in Cryptography
Having a mentor can provide you with guidance, support, and valuable insights into the field of cryptography.
Browse courses on Cryptography
Show steps
  • Identify potential mentors who are experts in cryptography.
  • Reach out to them and express your interest in mentorship.
  • Establish regular meetings or communication channels to discuss your progress and receive guidance.
Attempt Practice Problems on Cryptography
Attempting practice problems will help you solidify your understanding of cryptographic functions and algorithms.
Browse courses on Cryptography
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  • Identify the cryptographic function or algorithm used in the problem.
  • Apply the function or algorithm to the given input.
  • Check your answer against the provided solution.
Four other activities
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Follow Tutorials and Courses on Cryptography
Following tutorials and courses can provide you with a structured approach to learning cryptography and help you develop practical skills.
Browse courses on Cryptography
Show steps
  • Identify a reputable tutorial or course on cryptography.
  • Follow the instructions and complete the exercises provided.
  • Apply the concepts you learn to practical problems.
Attend Cryptography Workshops
Attending workshops can provide you with the opportunity to learn from experts in the field, network with other cryptography enthusiasts, and stay up-to-date on the latest research and trends.
Browse courses on Cryptography
Show steps
  • Research upcoming cryptography workshops.
  • Register for a workshop that aligns with your interests.
  • Attend the workshop and actively participate in discussions and activities.
Create a Blog or Website on Cryptography
Creating a blog or website can help you solidify your understanding of cryptography by explaining concepts to others and sharing your research.
Browse courses on Cryptography
Show steps
  • Choose a specific topic in cryptography that you are passionate about.
  • Research and gather information from reliable sources.
  • Write and publish high-quality content on your blog or website.
Participate in Cryptography Competitions
Participating in cryptography competitions can test your skills, push you to learn new techniques, and allow you to network with other cryptography enthusiasts.
Browse courses on Cryptography
Show steps
  • Identify cryptography competitions that align with your interests.
  • Register for the competition and prepare thoroughly.
  • Analyze the competition tasks and develop creative and efficient solutions.

Career center

Learners who complete Cryptography: Boolean functions and related problems will develop knowledge and skills that may be useful to these careers:
Cryptographer
This course delves into the fundamental mathematics that underpins cryptography, including the analysis and design of Boolean functions, S-boxes, and other related topics. Cryptographers leverage this knowledge to develop and analyze encryption and decryption systems, ensuring the confidentiality, integrity, and authenticity of sensitive information. Taking this course can provide you with a solid foundation in the principles and techniques used in cutting-edge cryptography, enhancing your competitiveness in this rapidly evolving field.
Information Security Analyst
Understanding the principles behind cryptography is essential for Information Security Analysts tasked with protecting organizations from cyber threats. This course offers insights into the mathematical foundations of cryptography, enabling you to better assess and mitigate vulnerabilities in encryption systems. By gaining a deeper understanding of Boolean functions and their cryptographic properties, you can contribute more effectively to the development and implementation of robust security measures.
Cybersecurity Engineer
Cybersecurity Engineers play a vital role in protecting computer systems and networks from malicious attacks. This course provides a strong foundation in the mathematical underpinnings of cryptography, equipping you to design, implement, and evaluate secure systems. The knowledge gained from this course will enhance your ability to develop and maintain robust encryption and decryption mechanisms, ensuring the confidentiality, integrity, and availability of critical data.
Cryptography Researcher
For those pursuing a career in Cryptography Research, this course offers an in-depth exploration of the mathematical foundations of cryptography. You will delve into the analysis and design of Boolean functions, S-boxes, and other related topics, providing you with the expertise to contribute to the advancement of cryptographic techniques. The course's focus on the history of cryptography, including previously top-secret information, can inspire unique research directions and enhance your understanding of the field's evolution.
Data Scientist
Data Scientists seeking to specialize in data security and privacy can benefit from this course. Understanding the mathematical principles of cryptography is crucial for developing and implementing secure data handling and storage systems. By gaining insights into Boolean functions and cryptographic properties, you can contribute to the design of algorithms that protect sensitive data from unauthorized access, misuse, and manipulation.
Software Engineer
This course may be useful for Software Engineers seeking to specialize in secure software development. Understanding the mathematical foundations of cryptography can help you design and implement robust encryption and decryption algorithms, ensuring the confidentiality and integrity of software systems. The course's focus on methods of cryptanalysis can provide valuable insights into potential vulnerabilities and how to mitigate them.
Privacy Engineer
This course may be relevant to Privacy Engineers responsible for protecting user data and ensuring compliance with privacy regulations. Understanding the mathematical principles of cryptography can aid in developing and implementing privacy-preserving technologies, such as anonymization and encryption techniques. The course's focus on Boolean functions and their cryptographic properties can enhance your ability to evaluate and optimize privacy-enhancing solutions.
Blockchain Developer
For Blockchain Developers seeking to enhance their understanding of cryptography, this course offers a solid foundation. Cryptography plays a fundamental role in securing blockchain networks and transactions. By gaining insights into Boolean functions and their cryptographic properties, you can contribute to the development and implementation of secure and efficient blockchain systems.
Cryptocurrency Analyst
This course may be useful for Cryptocurrency Analysts seeking to specialize in the technical aspects of cryptocurrencies. Understanding the mathematical principles of cryptography can aid in analyzing and evaluating the security of different cryptocurrencies and their underlying protocols. The course's focus on cryptographic properties, such as bent functions and APN-functions, can provide valuable insights into the strengths and weaknesses of cryptocurrency systems.
Forensic Analyst
This course may be relevant to Forensic Analysts specializing in digital forensics and incident response. Understanding the mathematical principles of cryptography can enhance your ability to analyze encrypted data, recover evidence, and identify vulnerabilities in cryptographic systems. The course's focus on methods of cryptanalysis can provide valuable insights into the techniques used by attackers and how to counter them.
Penetration Tester
Penetration Testers seeking to enhance their understanding of cryptographic systems may find this course useful. Understanding the mathematical principles of cryptography can strengthen your ability to assess and exploit vulnerabilities in encryption and decryption algorithms. The course's focus on methods of cryptanalysis can provide valuable insights into the techniques used by attackers to break cryptographic protections.
Risk Analyst
For Risk Analysts specializing in cyber risk assessment, this course can provide valuable insights into the mathematical foundations of cryptography. Understanding cryptographic principles can enhance your ability to evaluate and mitigate risks associated with the use of encryption and decryption systems. The course's focus on methods of cryptanalysis can help you identify potential vulnerabilities and develop strategies to address them.
Compliance Officer
Compliance Officers responsible for ensuring adherence to data protection and privacy regulations may find this course useful. Understanding the mathematical principles of cryptography can aid in evaluating the effectiveness of encryption and decryption systems used to protect sensitive data. The course's focus on cryptographic properties can provide valuable insights into the strengths and weaknesses of different approaches to data protection.
Auditor
Auditors specializing in information systems security may benefit from this course. Understanding the mathematical principles of cryptography can enhance your ability to evaluate the security of encryption and decryption systems used in organizations. The course's focus on methods of cryptanalysis can provide valuable insights into potential vulnerabilities and how to address them.
Consultant
Consultants specializing in cybersecurity or information security may find this course useful. Understanding the mathematical principles of cryptography can enhance your ability to advise clients on the selection, implementation, and maintenance of secure cryptographic systems. The course's focus on methods of cryptanalysis can provide valuable insights into potential vulnerabilities and how to mitigate them.

Reading list

We've selected seven 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 Cryptography: Boolean functions and related problems.
Provides a comprehensive overview of Boolean functions, their properties, and their applications in cryptography and coding theory. It covers a wide range of topics, including Boolean function representation, algebraic and combinatorial properties, and their applications in stream ciphers, block ciphers, and hash functions.
Provides a concise and accessible introduction to Boolean functions, focusing on their combinatorial and probabilistic properties. It covers a wide range of topics, including Boolean function representation, Fourier analysis, and applications in complexity theory and coding theory.
Provides a concise and accessible introduction to Boolean functions in cryptography. It covers a wide range of topics, including Boolean function representation, algebraic and combinatorial properties, and their applications in stream ciphers, block ciphers, and hash functions.
Provides a comprehensive overview of algebraic methods in cryptography. It covers a wide range of topics, including Boolean functions, finite fields, elliptic curves, and their applications in cryptography.
Provides a comprehensive overview of coding theory. It covers a wide range of topics, including Boolean functions, finite fields, and their applications in coding theory.
Provides a comprehensive overview of cryptography. It covers a wide range of topics, including Boolean functions, finite fields, and their applications in cryptography.
Provides a comprehensive overview of cryptography. It covers a wide range of topics, including Boolean functions, finite fields, and their applications in cryptography.

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