[Turkmath:1077] Gebze Technical University, Department of Mathematics Colloquium

[Tülay Yıldırım]

Sayin Liste Uyeleri,

GTU Matematik Bölümü Genel Seminerleri kapsamında,
04 Mart Cuma günü saat 14:00'da Esengül SALTÜRK
(Yıldız Teknik Üniversitesi) Matematik Bölümü seminer salonunda bir seminer
verecektir. Seminerin detayları aşağıda olup tüm ilgilenenler davetlidir.

Saygılarımızla,

Title: Codes over Local Rings and The Gray Map

Abstract: 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.



Dear all,

There will be a seminar in Gebze Technical University (GTU) on 4th of
March by Esengül SALTÜRK (YTU)
Time  and  place:  At 14:00 in Department of Mathematics  Building I, Auditorium.

Title: Codes over Local Rings and The Gray Map

Abstract: 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.



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