Z_q(Z_q+uZ_q)-Linear Skew Constacyclic Codes

03/25/2018

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by   Ahlem Melakhessou, et al.

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In this paper, we study skew constacyclic codes over the ring Z_qR where R=Z_q+uZ_q, q=p^s for a prime p and u^2=0. We give the definition of these codes as subsets of the ring Z_q^αR^β. Some structural properties of the skew polynomial ring R[x,θ] are discussed, where θ is an automorphism of R. We describe the generator polynomials of skew constacyclic codes over R and Z_qR. Using Gray images of skew constacyclic codes over Z_qR we obtained some new linear codes over Z_4. Further, we have generalized these codes to double skew constacyclic codes over Z_qR.