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- W2795086075 abstract "In this paper, we study skew constacyclic codes over the ring $mathbb{Z}_{q}R$ where $R=mathbb{Z}_{q}+umathbb{Z}_{q}$, $q=p^{s}$ for a prime $p$ and $u^{2}=0$. We give the definition of these codes as subsets of the ring $mathbb{Z}_{q}^{alpha}R^{beta}$. Some structural properties of the skew polynomial ring $ R[x,theta]$ are discussed, where $ theta$ is an automorphism of $R$. We describe the generator polynomials of skew constacyclic codes over $ R $ and $mathbb{Z}_{q}R$. Using Gray images of skew constacyclic codes over $mathbb{Z}_{q}R$ we obtained some new linear codes over $mathbb{Z}_4$. Further, we have generalized these codes to double skew constacyclic codes over $mathbb{Z}_{q}R$." @default.
- W2795086075 created "2018-04-06" @default.
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- W2795086075 date "2018-03-25" @default.
- W2795086075 modified "2023-09-27" @default.
- W2795086075 title "$mathbb{Z}_{q}(mathbb{Z}_{q}+umathbb{Z}_{q})$-Linear Skew Constacyclic Codes" @default.
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