Title of article :
On Skew Cyclic Codes over A Finite Ring
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
Pages :
11
From page :
135
To page :
145
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.
Keywords :
Hamming distance , Skew polynomial rings , Skew cycilc codes
Serial Year :
2019
Record number :
2494791
Link To Document :
بازگشت