Generator polynomials of characteristic ideal of maximal periodic arrays over Galois rings Original Research Article

In [Maximal periodic two-dimensional arrays over Galois rings, preprint, 2000, submitted for publication] we obtain a trace expression for maximal periodic two-dimensional arrays over Galois rings. In this paper, based on the trace expression, we deduce a complete characterization for the generator polynomials of the characteristic ideal of maximal periodic arrays. This characterization explicitly gives a simple polynomial construction method for such characteristic ideals.