Author/Authors :
Mohammadi, Rasul Department of Mathematics - Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran , Rahimi, Saeed Department of Information Technology - Imam Hossein University, Tehran, Iran , Mousavi, Hamed Department of Mathematics - Tarbiat Modares University, Tehran, Iran
Abstract :
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;θ], where
v^3 = v and θ(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.