CODING THEORY
| Title | ΘΕΩΡΙΑ ΚΩΔΙΚΩΝ / CODING THEORY |
| Code | ΣΜΥ026 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 2nd / Postgraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Georgios Rachonis |
| Common | No |
| Status | Active |
| Course ID | 600025962 |
Programme of Study: PMS Tmīmatos Mathīmatikṓn (2025-2030)
Registered students: 0
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| STATISTIKĪ, MONTELOPOIĪSĪ KAI YPOLOGISTIKES METHODOI | Elective Courses belonging to the selected specialization | Winter | - | 10 |
| Academic Year | 2025 – 2026 |
| Class Period | Winter |
| Faculty Instructors | |
| Weekly Hours | 3 |
| Total Hours | 39 |
| Class ID | 600268409
|
Course Type 2021
Specialization / Direction
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600268409
Learning Outcomes
Students will undersatand the fundamental theory of codes. Furthermore, they will be able to use encoding-decoding algorihms and tools.
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Make decisions
Course Content (Syllabus)
Hamming Distance. Perfect Codes. Code Equivalence. Linear Codes. Generator Matrices. Message Encoding. Parity-Check Matrices. Decoding with Matrices. Majority Decoding. Weight Enumerator. Shannon's Theorem. Lower Bounds on Codes. Code Construction. Singleton Bound. MDS Codes. Plotkin Bound. Griesmer Bound. Hamming Codes. Golay Codes. Reed-Muller Codes.
Keywords
Codes, Encoding, Decoding
Educational Material Types
- Notes
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 39 | ✓ | |||
| Reading Assigment | 258 | ||||
| Exams | 3 | ||||
| Total | 300 |
Student Assessment
Student Assessment methods
- Written Exam with Multiple Choice Questions (Formative)
- Written Exam with Extended Answer Questions (Formative, Summative)
- Oral Exams (Formative)
Bibliography
Additional bibliography for study
"Introduction to the Theory of Error-Correcting Codes"
by Vera Pless
"Coding Theory: A First Course"
by S. Ling, Ch. Xing
"Error Control Coding"
by S. Lin, D. Costello
"The Theory of Error-Correcting Codes"
by F.J. MacWilliams, N.J.A. Sloane
Last Update
01-12-2024
