Maximal Periodic Two-Dimensional Arrays Over Galois Rings

ABSTRACT

In this paper we deduce an upper bound of the periods of two-dimensional periodic arrays over a Galois ring and give a root characterization of maximal periodic arrays.

Key Words:

• Galois ring
• Maximal period
• Two-dimensional array

Mathematics Subject Classification:

• 11T71
• 94A55

ACKNOWLEDGMENTS

This work is partially supported by the National Natural Science Foundation of China (Grant Nos. 90104034 and 60373041) and the National High Technology Research and Development Program of China (Grant No. 2002AA141020).

Notes

^#Communicated by C. Maxson.