# Basic Tools for Coding theory and Cryptography

• ECTS credits10
• Teaching semesterSpring
• Course codeINF240A
• Number of semesters1
• LanguageEnglish
• Resources

10

### Level of Study

Bachelor / Master / PhD

Full-time

Spring

### Objectives and Content

Objectives:

The aim of the course is to provide a basis for advanced courses in coding theory and cryptography, as well as for a master project in these areas.

Content:

The course covers a collection of concepts and theoretical results, bounds, and techniques essential for carrying out advanced studies and research in the areas of coding theory and cryptology. Among these topics are

• Finite fields with applications to design of error correcting codes and to cryptographic primitives
• Solving equations over finite fields
• Polynomials over finite fields, and connections to linear feedback shift registers
• Boolean functions with applications in cryptography and coding theory

### Learning Outcomes

On completion of the course the student should have the following learning outcomes defined in terms of knowledge, skills and general competence:

Knowledge

Learning Outcomes:

The student should have knowledge of

• finite fields theory used in cryptography and coding theory, including linear feedback shift registers,
• Boolean functions and their applications to cryptography,
• basics of linear recurrent sequences and feedback shift registers,
• basics of linear and cyclic codes, including well known families of error correcting codes as covered by the course.

Skills:

The student is able to

• create computer programs using the concepts, data structures, and algorithms covered in the course
• explain and create proofs in coding theory and cryptography

General competence:

The students

• are familiar with mathematical foundations for cryptography and coding theory,
• can exchange opinions with others with relevant background and participate in discussions concerning the subject.

### Required Previous Knowledge

At least 60 ECTS in computer science, preferably including basic knowledge in discrete mathematics

### Recommended Previous Knowledge

INF100 or equivalent, MNF130, MAT121, are highly recommended. In addition INF101, INF140, INF143, STAT110 are recommended.

### Credit Reduction due to Course Overlap

I145: 10 SP

Access to the course requires admission to a programme of study at The Faculty of Mathematics and Natural Sciences

### Teaching and learning methods

The teaching comprises of lectures and group exercises.

Lectures: 4 hours pr. week for 13 weeks
Group exercises: 2 hours pr. week

### Compulsory Assignments and Attendance

Compulsory assignments are valid for one subsequent semester.

### Forms of Assessment

Written examination or Digital written examination (3 hours).
Compulsory exercises may count towards the final grade.

Due to the measures taken to avoid the spread of SARS-CoV-2, UiB is closed for teaching and assessment. As a consequence, the following changes is made to assessment spring semester 2020:

• Written home examination instead of written examination

### Examination Support Material

Non-programmable calculator, according to the faculty regulations

### Assessment Semester

Examination both spring semester and autumn semester. In semesters without teaching the examination will be arranged at the beginning of the semester.

The reading list will be available within June 1st for the autumn semester and December 1st for the spring semester

### Course Evaluation

The reading list will be available within June 1st for the autumn semester and January 1st for the spring semester

### Programme Committee

The Programme Committee is responsible for the content, structure and quality of the study programme and courses.

### Course Coordinator

Course coordinator and administrative contact person can be found on Mitt UiB, or contact Student adviser

The Faculty of Mathematics and Natural Sciences represented by the Department of Informatics is the course administrator for the course and study programme.

T: 55 58 42 00

## Exam information

• For written exams, please note that the start time may change from 09:00 to 15:00 or vice versa until 14 days prior to the exam. Autumn 2020 written exams will be arranged either at home or on campus. Please see course information on MittUiB.

• ### Type of assessment: Written examination

Date
23.09.2020, 09:00
Duration
6.5 hours