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Introduction to Cryptography: Cryptography and Number Theory

This course introduces the terminology and applications of cryptography, security attacks and security objectives.

  • Duration

    4 weeks
  • Weekly study

    0 hours

This course introduces the terminology, applications of cryptography, security attacks and security objectives. It introduces the learner to the historical arms race in cryptography; more sophisticated means of encryption being developed and more sophisticated attacks being developed on these. The course provides an overview of content that will be covered in more detail in further courses on symmetric cryptography, hashing and cryptanalysis, number theory and public key cryptography.

What topics will you cover?

  • Introduction
  • Historical Ciphers
  • Symmetric Cryptography, Hashing and cryptanalysis
  • Number Theory and Public Key Cryptography

Learning on this course

On every step of the course you can meet other learners, share your ideas and join in with active discussions in the comments.

What will you achieve?

By the end of the course, you‘ll be able to...

  • Define the main terms used in cryptography
  • Discuss the main applications of cryptography
  • Identify the main types of security attack
  • Describe the main security objectives
  • Describe the mechanisms of historical ciphers
  • Analyse weaknesses in historical ciphers
  • Discuss attacks on historical ciphers
  • Crack messages encrypted using weak historical ciphers
  • Describe the main mechanisms of symmetric cryptography
  • Distinguish between stream ciphers and block ciphers
  • Describe hash functions and their applications.
  • Identify the main mechanisms of cryptanalysis
  • Perform simple modular arithmetic operations
  • Discuss difficult number theoretic problems
  • Describe the main mechanisms of public key cryptography
  • Describe the main applications of public key cryptography

Who is the course for?

The course is aimed at IT professionals in employment in Republic of Ireland registered companies. To qualify for direct entry they must have a Level 8 Honours Degree (2.2) or higher in Computer Science, Computing, Computer Applications or a related discipline. Applicants without these entry requirements (e.g., Level 7 degree or lower than an Honours 2.2 in a Level 8 degree) may be considered if they can demonstrate previously obtained competence equivalent to the entry requirements.

Who will you learn with?

I am an associate professor in the School of Computing in Dublin City University. My research interests include the verification of security protocols and smart contracts in blockchain technology.

Who developed the course?

Dublin City University

Dublin City University is a young, dynamic and ambitious Irish university with a distinctive mission to transform lives and societies through education, research and innovation.

Endorsers and supporters

funded by

Skillnet Ireland

Learning on FutureLearn

Your learning, your rules

  • Courses are split into weeks, activities, and steps to help you keep track of your learning
  • Learn through a mix of bite-sized videos, long- and short-form articles, audio, and practical activities
  • Stay motivated by using the Progress page to keep track of your step completion and assessment scores

Join a global classroom

  • Experience the power of social learning, and get inspired by an international network of learners
  • Share ideas with your peers and course educators on every step of the course
  • Join the conversation by reading, @ing, liking, bookmarking, and replying to comments from others

Map your progress

  • As you work through the course, use notifications and the Progress page to guide your learning
  • Whenever you’re ready, mark each step as complete, you’re in control

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