Undergraduate
Faculty of Science and Letters
Mathematics And Computer Science
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Coding Theory

Course CodeSemester Course Name LE/RC/LA Course Type Language of Instruction ECTS
MB0052 Coding Theory 2/2/0 DE Turkish 5
Course Goals
The aim of the Course is to provide an introduction to Coding Theory ,and to teach how to make use the most effective use of codes.
Prerequisite(s) None
Corequisite(s) None
Special Requisite(s) None
Instructor(s)
Course Assistant(s)
Schedule Wednesday, 15:00-16:45, 3B.03-05, Thursday, 13:00-14:45, 3B-08-10
Office Hour(s) Prof.Dr.Erol BALKANAY, Wednesday; 11:00-12:45
Teaching Methods and Techniques Oral and written presentation
Principle Sources -Raymond Hill, A first course in Coding Theory, Clarendon Press, Oxford, 2007.

-J.H. van Lint, Introduction to coding Theory, Springer, 1999.
Other Sources -Lin, S and Costello Daniaal J. JR., Error Control Coding: Fundamenthals and Application Inch, 1983.

-Blake, Ian F. and Mullin Roland C., The Mathematical Theory of Coding, Academic Press, 1975.
Course Schedules
Week Contents Learning Methods
1. Week Introduction to Coding Theory Oral and written presentation
2. Week Finite Fields Oral and written presentation
3. Week Introduction to Linear Codes Oral and written presentation
4. Week Hamming Distance, Sphere- Packing Oral and written presentation
5. Week Encoding and Decoding with a Linear Code Oral and written presentation
6. Week Dual Codes Oral and written presentation
7. Week Hamming Codes Oral and written presentation
8. Week Midterm exam Written Exam
9. Week Perfect Codes Oral and written presentation
10. Week Cyclic Codes Oral and written presentation
11. Week Cyclic Codes (Cont.) Oral and written presentation
12. Week MDS Codes Oral and written presentation
13. Week MacWilliams Identities Oral and written presentation
14. Week Applications Oral and written presentation
15. Week Final Exam Written Exam
16. Week Final Exam Written Exam
17. Week Final Exam Written Exam
Assessments
Evaluation tools Quantity Weight(%)
Midterm(s) 1 50
Final Exam 1 50


Program Outcomes
PO-1Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science.
PO-2Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science.
PO-3Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence.
PO-4Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline.
PO-5Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science.
PO-6Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish.
PO-7Using time effectively in inventing solutions by implementing analytical thinking.
PO-8Understanding professional ethics and responsibilities.
PO-9Having the ability to behave independently, to take initiative, and to be creative.
PO-10Understanding the importance of lifelong learning and developing professional skills continuously.
PO-11Using professional knowledge for the benefit of the society.
Learning Outcomes
LO-1Provide each students with the tools required in understanding, analysing, modelling a transmission system
LO-2Get all necessary information on codes
LO-3Encoding and Decoding with linear Codes
LO-4Learn Dual Codes, Parity- Check Matrix and Hamming Codes
LO-5Know the Cyclic Codes
Course Assessment Matrix:
Program Outcomes - Learning Outcomes Matrix
 PO 1PO 2PO 3PO 4PO 5PO 6PO 7PO 8PO 9PO 10PO 11
LO 1
LO 2
LO 3
LO 4
LO 5