Title of article :
BASIS OF A MULTICYCLIC CODE AS AN IDEAL IN Fq[X1, . . . , Xs]/ X^ρ1 1 − 1, . . . , X^ρs s − 1
Author/Authors :
lalasoa, r. m. university of antananarivo - department of mathematics and computer science, Antananarivo, Madagascar , andriamifidisoa, r. university of antananarivo - department of mathematics, Antananarivo, Madagascar , andriamifidisoa, r. higher polytechnics institute of madagascar (ispm), Antananarivo, Madagascar , rabeherimanana, t. j. university of antananarivo - department of mathematics, Antananarivo, Madagascar
Abstract :
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.
Keywords :
quotient ring , ideal , ideal basis , multicyclic code , polynomial division algorithm (by many divisors)
Journal title :
Journal of Algebra and Related Topics
Journal title :
Journal of Algebra and Related Topics
