University of GuilanJournal of Algebra and Related Topics2345-39314220161201Some notes on the characterization of two dimensional skew cyclic codes182002ENZ. SepasdarFerdowsi university of MashhadJournal Article20161022A 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 $R_n:=F[x,y;rho,theta]/<x^s-1, y^ell-1>_l$. 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.https://jart.guilan.ac.ir/article_2002_7fb571bf92863d300628e203515796fa.pdf