MATH521 FINITE FIELDS AND APPLICATIONS
| Course Code: | 2360521 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. GÜLİN ERCAN |
| Offered Semester: | Fall Semesters. |
Course Objectives
To give structure theory of finite fields and related mathematical tools needed in applications to chryptography and coding theory
Course Content
Introduction to finite fields. Traces, norms and bases, factoring polynomials over finite fields, construction of irreducible polynomials, normal bases, optimal normal bases.
Course Learning Outcomes
This course gives the mathematical background on Finite Fields and Their Applications to Cryptography and Coding Theory. At the end of this course, students are expected to:
- understand general structural theory of finite fields
- be familiar with some certain special types of polynomials
- understand efficient ways to do computations over finite fields
- learn some applications of finite fields to coding theory and cryptography.
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | Acquires mathematical thinking skills (problem solving, generating ways of thinking, forming correspondence, generalizing etc.) and can use them in related fields. | ✔ | |||
| 2 | Gains academic maturity through self-study. | ✔ | |||
| 3 | Can design mathematics related problems, devise solution methods and apply them when appropriate. | ✔ | |||
| 4 | Carries out parts of a mathematical research program independently. | ✔ | |||
| 5 | Has a command of Turkish and English languages so that he/she can actively communicate (read, write, listen and speak). | ✔ | |||
| 6 | Contributes to solving global, environmental and social problems either individually or as being part of a social group. | ✔ | |||
| 7 | Respects ethical values and rules; applies them in professional and social issues. | ✔ | |||
| 8 | Can work cooperatively in a team and also individually. | ✔ | |||
| 9 | Gets exposed to academic culture through interaction with others. | ✔ | |||
| 10 | Comprehends necessity of knowledge, can define it and acquires it; uses knowledge effectively and shares it with others. | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution