Classic cryptosystems. What does secure encryption mean? Background in information theory, entropy. Symmetric encryption algorithms such as Advanced Encryption Standard (AES). Open key systems for encryption and digital signatures e.g. RSA, ElGamal and Schnorr signatures. Cryptographically secure hash functions in theory and practice (SHA). Properties and examples of pseudo-random number generators. Connections to complexity theory.
DD2448 Foundations of Cryptography 7.5 credits
Dive into the world of cryptography and learn how to secure information in an increasingly digital age. This course comprehensively introduces the key principles behind cryptographic systems, from classic methods to modern encryption standards. You’ll gain a solid foundation in symmetric and asymmetric encryption techniques, cryptographic hash functions, and the role of randomness in security systems. Perfect for those interested in cybersecurity, software development, or digital communication, this course prepares you to analyze and develop cryptographic protocols confidently.
Information per course offering
Choose semester and course offering to see current information and more about the course, such as course syllabus, study period, and application information.
Course syllabus as PDF
Please note: all information from the Course syllabus is available on this page in an accessible format.
Course syllabus DD2448 (Spring 2024–)Headings with content from the Course syllabus DD2448 (Spring 2024–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
Intended learning outcomes
After passing the course, the student shall be able to
- discuss the following basic concepts in cryptography: symmetric and asymmetric encryption, digital signatures, cryptographic hash functions, and strong pseudo-random number generator
- give examples of the above concepts
- perform simple own analyzes of cryptographic constructions such as cryptographic systems and cryptographic protocols
- determine the reliability of analyzes of cryptographic constructions such as cryptographic systems and cryptographic protocols
- summarize the content of technical articles on cryptography and cryptographic protocols
in order to be able to work with analysis and development of cryptographic protocols and systems.
Literature and preparations
Specific prerequisites
Knowledge of algorithms and complexity, 7.5 credits, equivalent to completed course DD2350 / DD2352.
Knowledge of discrete mathematics, 7.5 credits, equivalent to completed course SF1610 / SF1630 / SF1662 / SF1679 / SF1688.
Knowledge in probability theory and statistics, 6 credits, equivalent to completed course SF1912 / SF1914 / SF1915 / SF1916 / SF1920 / SF1921 / SF1922 / SF1923 / SF1924.
Knowledge of algebra and geometry, 7.5 credits, equivalent to completed course SF1624 / SF1672.
Knowledge in one-variable calculus, 7.5 credits, equivalent to completed course SF1625 / SF1673.
Course from Upper Secondary School equivalent to the Swedish upper secondary course English B/6.
Recommended prerequisites
Knowledge equivalent to either one of the courses DD1352 Algorithms, Data Structures and Complexity or DD2354 Algorithms and Complexity and knowledge of probability theory, mathematics and algorithm theory acquired in the mandatory courses of the D or F program.
Equipment
No information inserted
Literature
No information inserted
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
A, B, C, D, E, FX, F
Examination
- GRU1 - Group work, 2.5 credits, grading scale: P, F
- INDA - Individual home assignment, 5.0 credits, grading scale: A, B, C, D, E, FX, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
GRU1 is an investigative group work on a topic described in scientific articles and / or proposed or established standards. It is assessed through a written report and / or oral presentation.
INDA is a set of problems that are solved individually and assessed both in writing and orally.
Opportunity to complete the requirements via supplementary examination
No information inserted
Opportunity to raise an approved grade via renewed examination
In this course there is no opportunity to raise an already approved grade.
Examiner
Ethical approach
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.
Further information
Course room in Canvas
Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.
Offered by
Main field of study
Computer Science and Engineering
Education cycle
Second cycle
Add-on studies
Please discuss with the instructor.
Contact
Douglas Wikström, tel: 790 8138, e-post: dog@csc.kth.se
Transitional regulations
The expired module ÖVN1 has been replaced by GRU1 and INDA.
Supplementary information
The course is held in English if the students wish so.
You cannot count both DD2448 and DD2449 in your exam, since DD2448 has replaced DD2449.
In this course, the EECS code of honor applies, see:
http://www.kth.se/en/eecs/utbildning/hederskodex