TY - JOUR
AU - Rojita Chanu, TH.
AU - Timothy Kom, ST.
AU - Ratnabala Devi, O.
PY - 2022/08/23
Y2 - 2022/12/02
TI - Cyclic and Constacyclic Codes for F2[u,v]/
JF - The Journal of the Indian Mathematical Society
JA - JIMS
VL - 89
IS - 3-4
SE - Articles
DO - 10.18311/jims/2022/30791
UR - https://informaticsjournals.com/index.php/jims/article/view/30791
SP - 279-291
AB - In this paper, we study cyclic and β-constacyclic codes over the ?nite commutative ring R = F<sub>2</sub>[u,v]/<u<sup>2</sup>,v<sup>3</sup> ? v,uv,vu> with ? = (1+u),(1+u+v+v<sup>2</sup>) and (1+v+v2). We establish a Gray map from R to F<sup>4</sup><sub>2</sub> 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<sub>2</sub> when ? = (1 + u),(1 + u + v + v<sup>2</sup>) and (1 + v + v<sup>2</sup>), respectively.
ER -