Course Name Code Semester T+U Hours Credit ECTS
The Error Correcting Codes Theory II MAT 539 0 3 + 0 3 6
 Precondition Courses Recommended Optional Courses Course Language Turkish Course Level yuksek_lisans Course Type Optional Course Coordinator Prof.Dr. MEHMET ÖZEN Course Lecturers Course Assistants Course Category Course Objective To introduce subject of the error correcting codes theory. Course Content Cyclic codes, techniques of decodes
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Students should be able to find the minimum distance, generator and check matrices for cyclic and BCH codes. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
2 Students sholud be able to specify appropriate error detecting and error correcting strategies for cyclic and BCH codes. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
3 Students should be able to encode a given message in BCH(k,t). Lecture, Drilland Practice, Problem Solving, Testing, Homework,
4 Students should be able to determine whether a given received word is or is not a codeword in BCH(k,t). Lecture, Drilland Practice, Problem Solving, Testing, Homework,
5 Students should be able to apply a decoding algorithm to identify the locations of up to 3 errors in a received word in BCH(k,t) or RS(k,t). Lecture, Drilland Practice, Problem Solving, Testing, Homework,
6 Students should be able to calculate the error evaluator polynomial for a given received word in RS(k,t) and use it correct burst errors of reasonably short length. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Basic concepts
2 Structure of cyclic codes
3 Generator and parity check matrix for cyclic codes
4 Dual code of cyclic code
5 Decoding cyclic codes
6 Structure of BCH codes
7 Decoding of BCH codes
8 Red Muller codes
9 Red Muller codes
10 Red solomon codes
11 Red solomon codes
12 Gappa codes
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
2 Student follows the current journals in his/her field and puts forward problems. X
2 Student follows the current journals in his/her field and puts forward problems. X
3 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
3 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
4 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
4 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
5 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
5 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
6 Student determines the problems to be solved within his/her field and if necessary takes the lead.
6 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
7 Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field. X
7 Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field. X
8 Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters
8 Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters X
9 Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research. X
9 Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research. X
10 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. X
10 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. X
10 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. X
11 Student considers the scientific and cultural ethical values in the phases of gathering and conveying data or writing articles. X
Evaluation System
Semester Studies Contribution Rate
1. Ödev 100
Total 100
1. Yıl İçinin Başarıya 30
1. Final 70
Total 100