EXISTENCE OF THE CHARACTERISTIC NUMBERS ASSOCIATED WITH CELLULAR AUTOMATA WITH LOCAL TRANSITION RULE 90 By

This paper concerns the fundamentals on a new type of finite linear cellular automata with socalled local transition rule 90. Some problems about a few characteristic numbers associated with these automata, initially introduced by S. Huzino, are extensively solved and consequently the author gives a new algebraic formulation of these types of cellular automata, which enables us to challenge further investigations on these types of cellular auto mata of higher dimensions. 1