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DNA Code Constructions from Some Codes over a Family of Finite Rings

Abdullah Dertli, Yasemin Çengellenmiş


Firstly, by using a non-trivial automorphism θi over Ai, where i = 2, 3, ... , k, we define the skew cyclic codes over a family of the rings . By using them, we obtain the reversible DNA codes. In the second method, the necessary and sufficient condition of cyclic code over Ai to be reversible and reversible complement are given, where i = 2, 3, ... , k. By introducing a map, the DNA codes are obtained from them. In the third method, the special linear codes over  are established, where i = 2, 3, ... , k. By using them, the reversible and reversible complement DNA codes are obtained.

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