$Z_8+uZ_8$ Halkası Üzerinde Çift Aykırı Devirli Kodlar

Bu çalışmada$u^2=1$ olmak üzere $〖S=Z〗_8+uZ_8$ halkası üzerindeki aykırı devirli ve çift (double) aykırı devirli kodlar çalışılmıştır. θ, S üzerinde bir otomorfizm ve $δ_θ S$ üzerinde bir türetim (derivation) olmak üzere $S[x,θ,δ_θ$ ] aykırı polinomlar halkası tanımlanmıştır. S üzerinde $δ_{θ}-$devirli kodlar tanımlanarak bu kod ailesinin bazı cebirsel özellikleri incelenmiştir.Ayrıca bu kod sınıfının bir genellemesi olan çift aykırı devirli kodlar çalışılmıştır.

Double Skew Cyclic Codes over the Ring $Z_8+uZ_8$

In this work, skew cyclic and double skew cyclic codes over the ring $〖S=Z〗_8+uZ_8$ where $u^2=1$ are studied. The skew polynomial ring $S[x,θ,δ_θ ]$ are introduced, whereθ is an automorphism on S and $δ_θ$ is a derivation on S. Defining $δ_{θ}-$cyclic codes, some algebric properties of these families of codes are invastigated.Also, double skew cyclic codes regarding as a generalization of skew cyclic codes are studied.

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