Generator polynomials of characteristic ideal of maximal periodic arrays over Galois rings. (Q1427475)

In an earlier paper [Maximal periodic two-dimensional arrays over Galois rings, Preprint (2000)], the authors deduced the upper bound of the periods of two-dimensional periodic arrays over Galois rings and obtained a trace expression for maximal periodic arrays over Galois rings. This paper, based on the trace expression, derives 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.