Title of article :
FINDING A GENERATOR MATRIX OF A MULTIDIMENSIONAL CYCLIC CODE
Author/Authors :
andriamifidisoa, r. university of antananarivo - higher polytechnics institute of madagascar (ispm) - department of mathematics, Antananarivo, Madagascar , lalasoa, r. m. university of antananarivo - department of mathematics and computer science, Antananarivo, Madagascar , rabeherimanana, t. j. university of antananarivo - department of mathematics, An tananarivo, Madagascar
Abstract :
We generalize Sepasdar’s method for finding a gene rator matrix of two-dimensional cyclic codes to find a generating subset and a linearly independent subset of a general multicyclic code. From these sets, a basis of the code as a vector subspace can be deduced or constructed. A generator matrix can be then deduced from this basis.
Keywords :
quotient ring , lexicographic order , ideal basis , multicyclic code , generator matrix
Journal title :
Journal of Algebra and Related Topics
Journal title :
Journal of Algebra and Related Topics
