@article{Rojita Chanu_Timothy Kom_Ratnabala Devi_2022, title={Cyclic and Constacyclic Codes for F<sub>2</sub>[u,v]/<u<sup>2</sup>,v<sup>3</sup> – v,uv,vu>}, volume={89}, url={https://informaticsjournals.com/index.php/jims/article/view/30791}, DOI={10.18311/jims/2022/30791}, abstractNote={In this paper, we study cyclic and β-constacyclic codes over the ?nite commutative ring R = F&lt;sub&gt;2&lt;/sub&gt;[u,v]/&amp;lt;u&lt;sup&gt;2&lt;/sup&gt;,v&lt;sup&gt;3&lt;/sup&gt; ? v,uv,vu&amp;gt; with ? = (1+u),(1+u+v+v&lt;sup&gt;2&lt;/sup&gt;) and (1+v+v2). We establish a Gray map from R to F&lt;sup&gt;4&lt;/sup&gt;&lt;sub&gt;2&lt;/sub&gt; and prove that the Gray image of a cyclic code is a quasi-cyclic code of index 4. It is also shown that the Gray image of β-constacyclic code overRis either β-equivalent, β-equivalent or β-equivalent to a quasi-cyclic code of length 4n and index 4 over F&lt;sub&gt;2&lt;/sub&gt; when ? = (1 + u),(1 + u + v + v&lt;sup&gt;2&lt;/sup&gt;) and (1 + v + v&lt;sup&gt;2&lt;/sup&gt;), respectively.}, number={3-4}, journal={The Journal of the Indian Mathematical Society}, author={Rojita Chanu, TH. and Timothy Kom, ST. and Ratnabala Devi, O.}, year={2022}, month={Aug.}, pages={279–291} }