TMA4160 - Cryptography


Examination arrangement

Examination arrangement: School exam
Grade: Letter grades

Evaluation Weighting Duration Grade deviation Examination aids
School exam 100/100 4 hours B

Course content

A brief overview of symmetric key cryptography. Diffie-Hellman, public-key encryption (ElGamal, RSA, lattice-based), digital signatures (RSA, Schnorr). Security definitions for cryptographic schemes. Algorithms from algebra and number theory, including primality testing, computation of discrete logarithms in cyclic groups, and elliptic curves over finite fields. The exact contents may vary from year to year, and may including more advanced topics.

Learning outcome

1. Knowledge. The student has an overview of the algebra that forms the basis of modern symmetric and asymmetric cryptography, and some knowledge of classical and modern symmetric cryptography. The student is familiar with the theory of finite cyclic groups, finite fields, elliptic curves and lattices. Moreover, the student is familiar with the motivation for, the use of and attacks on asymmetric cryptography, and knows the main systems and security definitions. 2. Skills. The student masters cryptographic algorithms, including algorithms for key generation, encryption, decryption and cryptanalysis. The student has acquired some intuition about how to attack cryptosystems.

Learning methods and activities

Lectures and exercises. The exercises may involve the use of computers. The lectures may be given in English. If the course is taught in English, the exam will be given only in English. Students are free to choose Norwegian or English for written assessments.

Further on evaluation

Retake of examination may be given as an oral examination.

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
SIF5023 7.5
TMA4155 4.5 AUTUMN 2007

Version: 1
Credits:  7.5 SP
Study level: Second degree level


Term no.: 1
Teaching semester:  AUTUMN 2023

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
  • Mathematics
  • Technological subjects
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility
Department of Mathematical Sciences


Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Autumn ORD School exam 100/100 B 2023-12-14 15:00 INSPERA
Room Building Number of candidates
SL310 blå sone Sluppenvegen 14 41
SL520 Sluppenvegen 14 1
SL321 Sluppenvegen 14 2
Summer UTS School exam 100/100 B INSPERA
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

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