First, we apply the method presented by Zahra Sepasdar in the two-dimensional case to construct a basis of a three dimensional cyclic code. We then generalize this construction to a general $s$-dimensional cyclic code.
Andriamifidisoa, R., Lalasoa, R. M., & Rabeherimanana, T. J. (2018). Basis of a multicyclic code as an Ideal in F[X_1,...,X_s]/. Journal of Algebra and Related Topics, 6(2), 63-78. doi: 10.22124/jart.2018.10977.1110
MLA
R. Andriamifidisoa; R. M. Lalasoa; T. J. Rabeherimanana. "Basis of a multicyclic code as an Ideal in F[X_1,...,X_s]/". Journal of Algebra and Related Topics, 6, 2, 2018, 63-78. doi: 10.22124/jart.2018.10977.1110
HARVARD
Andriamifidisoa, R., Lalasoa, R. M., Rabeherimanana, T. J. (2018). 'Basis of a multicyclic code as an Ideal in F[X_1,...,X_s]/', Journal of Algebra and Related Topics, 6(2), pp. 63-78. doi: 10.22124/jart.2018.10977.1110
VANCOUVER
Andriamifidisoa, R., Lalasoa, R. M., Rabeherimanana, T. J. Basis of a multicyclic code as an Ideal in F[X_1,...,X_s]/. Journal of Algebra and Related Topics, 2018; 6(2): 63-78. doi: 10.22124/jart.2018.10977.1110