Mimar Sinan Fine Arts University Mathematics Department Seminars

The covering radii of a class of binary cyclic codes and some BCH codes
Seher Tutdere
Gebze Technical University, Turkey
Özet : In 2003, Moreno and Castro proved that the covering radius of a class of primitive cyclic codes over the finite field F_2 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 F_2 with minimum distance greater than or equal to r+2 is r, where r is any odd integer. Moreover, we discuss the covering radii of the primitive binary e-error correcting BCH codes of length 2^f-1. This is a joint work with Selçuk Kavut.
  Tarih : 12.04.2018
  Saat : 16:00
  Yer : Seminar Room
  Dil : English
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