Cyber Security (Master) (with Thesis) (English)
Master TR-NQF-HE: Level 7 QF-EHEA: Second Cycle EQF-LLL: Level 7

Course Introduction and Application Information

Course Code: COE5006
Course Name: Error-Correcting Codes
Semester: Spring
Course Credits:
ECTS
6
Language of instruction: English
Course Condition:
Does the Course Require Work Experience?: No
Type of course: Departmental Elective
Course Level:
Master TR-NQF-HE:7. Master`s Degree QF-EHEA:Second Cycle EQF-LLL:7. Master`s Degree
Mode of Delivery:
Course Coordinator: Doç. Dr. AMIR SEYYEDABBASI
Course Lecturer(s): Dr. Öğr. Üy. FUNDA ÖZDEMİR
Course Assistants:

Course Objective and Content

Course Objectives: The aim of this course is to give information about the basic concepts of coding theory. In addition to the theoretical perspective, algorithmic problems and applications related to the application of coding theory to daily life will be discussed. After taking this course, students are expected to have knowledge of the basics of algebraic coding theory, to understand algebraic structures used in coding theory, and to grasp examples of how these algebraic structures are applied to communication systems.
Course Content: Linear codes, weights and distances, generator and control matrices, dual codes, Hamming codes, Reed Muller codes, Golay codes, bounds, finite fields, cyclic codes, BCH and Reed Solomon codes, weight distributions.

Learning Outcomes

The students who have succeeded in this course;
1) Students will learn the principles of coding techniques used in communication systems.
2) Students will learn the techniques and problems used for error correcting coding.
3) Students will recognize the theory behind most codes involving the use of finite algebra and the importance of linearity.
4) Students will learn in detail about linear block codes including coding limits, theoretical performance and coding gain, coding and decoding techniques.
5) Students will learn cyclic codes including coding and decoding techniques in detail.

Course Flow Plan

Week Subject Related Preparation
1) Basic concepts of linear codes
2) Basic concepts of linear codes
3) Basic concepts of linear codes
4) Limits in codes
5) Limits in codes
6) Finite fields
7) Finite fields
8) Finite fields
9) Cyclic codes
10) Cyclic codes
11) BCH and Reed-Solomon codes
12) BCH and Reed-Solomon codes
13) Weight distributions
14) Quadratic Remainder Codes

Sources

Course Notes / Textbooks:
References:

Course - Program Learning Outcome Relationship

Course Learning Outcomes

1

2

3

4

5
Program Outcomes
1) Being able to develop and deepen their knowledge at the level of expertise in the same or a different field, based on undergraduate level qualifications.
2) To be able to use the theoretical and applied knowledge at the level of expertise acquired in the field.
3) To be able to interpret and create new knowledge by integrating the knowledge gained in the field with the knowledge from different disciplines.
4) To be able to solve the problems encountered in the field by using research methods.
5) To be able to systematically transfer current developments in the field and their own studies to groups in and outside the field, in written, verbal and visual forms, by supporting them with quantitative and qualitative data.
6) To be able to communicate orally and in writing using a foreign language at least at the B2 General Level of the European Language Portfolio.
7) To be able to critically evaluate the knowledge and skills acquired in the field of expertise and to direct their learning.
8) To be able to use information and communication technologies at an advanced level along with computer software at the level required by the field.
9) To be able to supervise and teach these values ​​by observing social, scientific, cultural and ethical values ​​in the stages of collecting, interpreting, applying and announcing the data related to the field.
10) To be able to use the knowledge, problem solving and/or application skills they have internalized in their field in interdisciplinary studies.
11) Being able to independently carry out a work that requires expertise in the field.
12) To be able to develop new strategic approaches for the solution of complex and unpredictable problems encountered in applications related to the field and to produce solutions by taking responsibility.

Course - Learning Outcome Relationship

No Effect 1 Lowest 2 Average 3 Highest
       
Program Outcomes Level of Contribution
1) Being able to develop and deepen their knowledge at the level of expertise in the same or a different field, based on undergraduate level qualifications.
2) To be able to use the theoretical and applied knowledge at the level of expertise acquired in the field.
3) To be able to interpret and create new knowledge by integrating the knowledge gained in the field with the knowledge from different disciplines.
4) To be able to solve the problems encountered in the field by using research methods.
5) To be able to systematically transfer current developments in the field and their own studies to groups in and outside the field, in written, verbal and visual forms, by supporting them with quantitative and qualitative data.
6) To be able to communicate orally and in writing using a foreign language at least at the B2 General Level of the European Language Portfolio.
7) To be able to critically evaluate the knowledge and skills acquired in the field of expertise and to direct their learning.
8) To be able to use information and communication technologies at an advanced level along with computer software at the level required by the field.
9) To be able to supervise and teach these values ​​by observing social, scientific, cultural and ethical values ​​in the stages of collecting, interpreting, applying and announcing the data related to the field.
10) To be able to use the knowledge, problem solving and/or application skills they have internalized in their field in interdisciplinary studies.
11) Being able to independently carry out a work that requires expertise in the field.
12) To be able to develop new strategic approaches for the solution of complex and unpredictable problems encountered in applications related to the field and to produce solutions by taking responsibility.

Assessment & Grading

Semester Requirements Number of Activities Level of Contribution
Midterms 1 % 40
Final 1 % 60
total % 100
PERCENTAGE OF SEMESTER WORK % 40
PERCENTAGE OF FINAL WORK % 60
total % 100

Workload and ECTS Credit Calculation

Activities Number of Activities Preparation for the Activity Spent for the Activity Itself Completing the Activity Requirements Workload
Midterms 70 0 0
Final 90 0 0
Total Workload 0