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- W2962740329 abstract "In the present paper, we study skew cyclic codes over the ring $F_{q}+vF_{q}+v^2F_{q}$, where $v^3=v,~q=p^m$ and $p$ is an odd prime. The structural properties of skew cyclic codes over $F_{q}+vF_{q}+v^2F_{q}$ have been studied by using decomposition method. By defining a Gray map from $F_{q}+vF_{q}+v^2F_{q}$ to $F_{q}^3$, it has been proved that the Gray image of a skew cyclic code of length $n$ over $F_{q}+vF_{q}+v^2F_{q}$ is a skew $3$-quasi cyclic code of length $3n$ over $F_{q}$. Further, it is shown that the skew cyclic codes over $F_{q}+vF_{q}+v^2F_{q}$ are principally generated. Finally, the idempotent generators of skew cyclic codes over $F_{q}+vF_{q}+v^2F_{q}$ have also been studied." @default.
- W2962740329 created "2019-07-30" @default.
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- W2962740329 date "2018-06-01" @default.
- W2962740329 modified "2023-10-18" @default.
- W2962740329 title "On skew cyclic codes over $F_{q}+vF_{q}+v^2F_{q}$" @default.
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- W2962740329 doi "https://doi.org/10.32513/tbilisi/1529460020" @default.
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