@article{Dutta_Saikia_2018, title={A Study of Cyclic Codes Via a Surjective Mapping}, volume={34}, url={https://matematika.utm.my/index.php/matematika/article/view/826}, DOI={10.11113/matematika.v34.n2.826}, abstractNote={In this article, cyclic codes of length $n$ over a formal power series ring and cyclic codes of length $nl$ over a finite field are studied. By defining a module isomorphism between $R^n$ and $(Z_4)^{2^kn}$, Dinh and Lopez-Permouth proved that a cyclic shift in $(Z_4)^{2^kn}$ corresponds to a constacyclic shift in $R^n$ by $u$, where $R=\frac{Z_4[u]}{&lt;u^{2^k}-1&gt;}$. We have defined a bijective mapping $\Phi_l$ on $R_{\infty}$, where $R_{\infty}$ is the formal power series ring over a finite field $\mathbb{F}$. We have proved that a cyclic shift in $(\mathbb{F})^{ln}$ corresponds to a $\Phi_l-$cyclic shift in $(R_{\infty})^n$ by defining a mapping from $(R_{\infty})^n$ onto $(\mathbb{F})^{ln}$. We have also derived some related results.}, number={2}, journal={MATEMATIKA}, author={Dutta, Mriganka Sekhar and Saikia, Helen K.}, year={2018}, month={Dec.}, pages={325–332} }