MAT-3305 Advanced Cryptography - 10 stp

An introduction to advanced topics in cryptography. Topics like elliptic curve cryptography, code based and lattice based cryptography will be taught.

Challenges of the post-quantum era.

For those who have the course as a singular course: Bachelor of science degree in mathematics or equivalent, and MAT-1301 or equivalent.

Application code is 9371.

Knowledge - The candidate

• has knowledge about groups, rings and fields, and the use of these objects in cryptography and coding theory
• have a broad knowledge about research challenges in cryptography
• has advanced knowledge in the theory of elliptic curves and the use of elliptic curves in cryptography
• is able to explain how lattice methods can be used in cryptanalyses
• has knowledge about error correcting codes like linear codes, Goppa codes
• has advanced knowledge about cryptosystems based on the difficulty of finding the nearest code word or the shortest vector in a lattice
• has advanced knowledge of homomorphic encryption, and which established encryption methods it can be used to supplement

Skills - The candidate

• can assess strengths and weaknesses with the various cryptosystems
• is able to explain how elliptic curve cryptosystems works, and why they perform better
• can apply code-based, lattice- and elliptic curve cryptosystems

in concrete cases

• can perform homomorphic encryption
• has enough background knowledge to be able to read and understand research articles in the field

General competence -The candidate

• can give an interpretation of recent developments and provide an intuition of the open questions in the field
• has general knowledge about the importance of cryptography and coding theory in modern communication.
• understands the challenges of the post-quantum era in cryptography.
• can communicate independent work and master the subject area´s terminology.