University of Guilan Journal of Algebra and Related Topics 2345-3931 6 2 2018 12 01 Basis of a multicyclic code as an Ideal in F[X_1,...,X_s]/ 63 78 3329 10.22124/jart.2018.10977.1110 EN R. Andriamifidisoa Department of Mathematics and Computer Science, University of Antananarivo, Antananarivo, Madagascar R. M. Lalasoa Department of Mathematics, University of Antananarivo, Antananarivo, Madagascar T. J. Rabeherimanana Department of Mathematics, University of Antananarivo, Antananarivo, Madagascar Journal Article 2018 08 01 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. quotient-ring ideal ideal basis multicyclic code polynomial division algorithm (by many divisors) https://jart.guilan.ac.ir/article_3329_8d8f5e7ba61fd23caa4b4d6f970ceb64.pdf