SOME NOTES ON THE CHARACTERIZATION OF TWO DIMENSIONAL SKEW CYCLIC CODES

A natural generalization of two dimensional cyclic code (TDC) is two dimensional skew cyclic code. It is well-known that there is a correspondence between two dimensional skew cyclic codes and left ideals of the quotient ring Rn := F[x, y; ρ, θ]/ x^s − 1, y^l − 1 l . In this paper we characterize the left ideals of the ring Rn with two methods and find the generator matrix for two dimensional skew cyclic codes.