Some notes on the characterization of two dimensional skew cyclic codes

‎‎A natural generalization of two dimensional cyclic code (\T{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 R_n:=\F[x,y;\rho,\theta]/_l‎. ‎In this paper we characterize the left ideals of the ring R_n with two methods and find the generator matrix for two dimensional skew cyclic codes‎.

Keywords:

Cyclic code , two dimensional skew cyclic code , ‎generator matrix