Mathematics Seminar: The covering radii of a class of binary

Mathematics Seminar: The covering radii of a class of binary

 

Speaker: Seher Tutdere

Title: The covering radii of a class of binary cyclic codes and some BCH codes

Date/Time: October 4, 2018  /  12:40-13:30

Place: FENS G015

 

Abstract: In 2003, Moreno and Castro proved that the covering radius of a class of primitive cyclic codes over the finite field F2 having minimum distance 5 (resp. 7) is 3 (resp. 5). In this talk we give a generalization of this result as follows: the covering radius of a class of primitive cyclic codes over F2 with minimum distance greater than or equal to r+2 is r, where r is any odd integer. Moreover, we discuss the covering radiii of the primitive binary e-error correcting BCH codes of length 2f − 1.

 

This is a joint work with Selçuk Kavut.

 

Contact: Michel Lavrauw