Finding a generator matrix of a multidimensional cyclic code

We generalize Sepasdar's method for finding a gene-\\rator matrix of two-dimensional cyclic codes to find a generating set 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