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Chanu, TH. Rojita
- Cyclic and Constacyclic Codes for F2[u,v]/2,v3 – v,uv,vu>
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The Journal of the Indian Mathematical Society, Vol 89, No 3-4 (2022), Pagination: 279-291Abstract
In this paper, we study cyclic and β-constacyclic codes over the ?nite commutative ring R = F2[u,v]/<u2,v3 ? v,uv,vu> with ? = (1+u),(1+u+v+v2) and (1+v+v2). We establish a Gray map from R to F42 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 F2 when ? = (1 + u),(1 + u + v + v2) and (1 + v + v2), respectively.
Keywords
Cyclic Code, Constacyclic Code, Gray Map.
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