On Skew Cyclic Codes over a Finite Ring

نویسندگان

  • H. Mousavi Department of Mathematics, Tarbiat Modares University, Tehran, Iran.
  • R. Mohammadi Department of Mathematics, Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran.
  • S. Rahimi Department of Information Technology, Imam Hossein University, Tehran, Iran.
چکیده مقاله:

In this paper, we classify the skew cyclic codes over Fp + vF_p + v^2F_p, where p is a prime number and v^3 = v. Each skew cyclic code is a F_p+vF_p+v^2F_p-submodule of the (F_p+vF_p+v^2F_p)[x;alpha], where v^3 = v and alpha(v) = -v. Also, we give an explicit forms for the generator of these codes. Moreover, an algorithm of encoding and decoding for these codes is presented.

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عنوان ژورنال

دوره 14  شماره 1

صفحات  135- 145

تاریخ انتشار 2019-04

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