Gebze Technical University Mathematics Department Seminars

Codes over Local Rings and The Gray Map
Esengül Saltürk
Yıldız Teknik Üniversitesi, Turkey
Özet : This talk covers basics of error correcting codes and codes over local Frobenius rings of order 16 and their images to the binary space via a Gray map which need not be linear. We define Lee weight based on the Hamming weight of the Gray image. This Gray map is a canonical extension of the usual Gray maps as defined over local rings of order 4 and it is presented in a very general form which can be applied to any local Frobenius ring of order 16 with a maximal ideal of size 8. We construct self-dual codes over these rings and give their binary images.
  Tarih : 04.03.2016
  Saat : 14:00
  Yer : Matematik Bölümü Seminer Salonu
  Dil : English