۲-D skew constacyclic codes over R[x, y; ρ, θ]

For a finite field \mathbb{F}_q, the bivariate skew polynomial ring \mathbb{F}_q[x,y;\rho,\theta] has been used to study codes \cite{XH}. In this paper, we give some characterizations of the ring R[x,y;\rho,\theta], where R is a commutative ring. We investigate ۲-D skew (\lambda_۱,\lambda_۲)-constacyclic codes in the ring R[x,y;\rho,\theta]/\langle x^l-\lambda_۱,y^s-\lambda_۲\rangle_{\mathit{l}}. Also, the dual of ۲-D skew (\lambda_۱,\lambda_۲)-constacyclic codes is investigated.

کلیدواژه ها:

Cyclic codes ، Skew polynomial rings‎ ، ‎۲-D skew constacyclic codes