Binary Cyclic Group Codes

Mustafa Kemal Turak, Dokuz Eylül University. Date: 4th of  January, 2024, Thursday, Time: 11.00 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.

Abstract: In this talk, we will first give the definition of cyclic codes. We will then show that each cyclic code can be seen as an ideal in the quotient ring F[x]/(x^{n}-1). Next, we will introduce group codes and examine the relationship between cyclic group codes and cyclic codes.