Applied Mathematics: CryptologyLaajuus (3 cr)

Objective

The student knows and understands the basics of combinatorics and number theory and can apply them to their own field. The student knows and understands mathematical principles of the most common cryptology methods. They are able to choose a suitable cryptography for the application and has the readiness to deepen their competence.

Content

Basics of combinatorics and number theory (divisibility, prime numbers, congruence, modular arithmetics), random number generation, classic cryptology methods, symmetric and asymmetric cryptography, elliptic curves.

Qualifications

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Assessment criteria, satisfactory (1)

Pass (S)
- With the returnable exercises and exam, the student demonstrates their knowledge and understanding of the essential mathematical concepts and calculation rules related to cryptology.
- With the course assignment, the student demonstrates ability to deeper study independently/in a group, some cryptology related topic. The assignment consists of both written and speaking part, both of which are assessed.
- The student demonstrates understanding of the mathematical principles of cryptology methods and knowledge of the purpose and use of cryptology methods.
50 % of the maximum points of all items are required for an accepted course. The items are assessed by the lecturer.

Assessment criteria, approved/failed

Pass (S) - With the returnable exercises and exam, the student demonstrates their knowledge and understanding of the essential mathematical concepts and calculation rules related to cryptology. - With the course assignment, the student demonstrates ability to deeper study independently/in a group, some cryptology related topic. The assignment consists of both written and speaking part, both of which are assessed. - The student demonstrates understanding of the mathematical principles of cryptology methods and knowledge of the purpose and use of cryptology methods. 50 % of the maximum points of all items are required for an accepted course. The items are assessed by the lecturer.