TY - JOUR
T1 - On Skew Cyclic Codes over a Finite Ring
TT -
JF - IJMSI
JO - IJMSI
VL - 14
IS - 1
UR - http://ijmsi.ir/article-1-954-en.html
Y1 - 2019
SP - 135
EP - 145
KW - Skew Cycilc Codes
KW - Skew Polynomial Rings
KW - Hamming Distance.
N2 - 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.
M3
ER -