TY - JOUR ID - 3329 TI - Basis of a multicyclic code as an Ideal in F[X_1,...,X_s]/ JO - Journal of Algebra and Related Topics JA - JART LA - en SN - 2345-3931 AU - Andriamifidisoa, R. AU - Lalasoa, R. M. AU - Rabeherimanana, T. J. AD - Department of Mathematics and Computer Science, University of Antananarivo, Antananarivo, Madagascar AD - Department of Mathematics, University of Antananarivo, Antananarivo, Madagascar Y1 - 2018 PY - 2018 VL - 6 IS - 2 SP - 63 EP - 78 KW - quotient-ring KW - ideal KW - ideal basis KW - multicyclic code KW - polynomial division algorithm (by many divisors) DO - 10.22124/jart.2018.10977.1110 N2 - 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. UR - https://jart.guilan.ac.ir/article_3329.html L1 - https://jart.guilan.ac.ir/article_3329_8d8f5e7ba61fd23caa4b4d6f970ceb64.pdf ER -