Project Security and Coding

Uitgebreide vaknaam	Project Security and Coding
Leerdoelen	At the end of the course the student is able to a) analyse basic properties, like its dimension and minimal distance, of a code. b) analyse or implement a cryptography scenario.
Omschrijving	Information sent via space by a satellite, or via an i-pod or a dvd-drive, is often slightly damaged when it reaches its destination. To enlarge the possibility of recovering the correct data from the received signal, a certain amount of redundancy is added to the information before it is sent. Coding theory describes smart methods for this. This involves a combination of techniques from linear algebra, abstract algebra, number theory, (algebraic) geometry and other areas of mathematics. Apart from a desire to keep the data correct (coding theory), there is also the need to keep a lot of information confidential. Cryptography is the field which describes methods for this. Modern cryptography involves a lot of number theory such as properties of prime numbers and modular arithmetic. It also applies more geometric ideas, such as arithmetic of elliptic curves. Half of the course provides an introduction to Coding Theory; the other half introduces Cryptography.
Uren per week
Onderwijsvorm	Hoorcollege (LC), Opdracht (ASM), Werkcollege (T)
Toetsvorm	Opdracht (AST), Verslag (R) (Final grade = 0.8 R + 0.2 HW in which R is the grade for the report and HW is the average grade of in total 4 homework assignment. For achieving a passing mark (6) in the final assignment, the report has to be mathematically correct and the student has to show a good understanding of the chosen topic. This can only very partially be compensated (20%) by the homework assignments.)
Vaksoort	bachelor
Coördinator	P. Kilicer, PhD.
Docent(en)	dr. M. Djukanovic , P. Kilicer, PhD.
Verplichte literatuur	Titel Auteur ISBN Prijs Reader, available via Nestor J. Top
Entreevoorwaarden	The course unit assumes prior knowledge acquired from Linear Algebra and Group Theory.
Opmerkingen	This course unit prepares for other abstract algebra courses, e.g., Algebraic structures and Advanced Algebraic Structures This course was registered last year with course code WBMA19012
Opgenomen in	Opleiding Jaar Periode Type BSc Applied Mathematics 3 semester I b keuze BSc Courses for Exchange Students: AI - Computing Science - Mathematics - semester I b BSc Mathematics and Physics (double degree) 2 semester I b keuzegroep BSc Mathematics: General Mathematics  (Electives and Minor General Mathematics) 3 semester I b keuze BSc Mathematics: General Mathematics  ( Major track General Mathematics) 2 semester I b keuzegroep BSc Mathematics: Probability and Statistics 3 semester I b keuze