Let D be a regular digraph with radius s. Then D is a radially Moore d
igraph if it has the maximum possible number of nodes and the diameter
of D does not exceed s + 1. We show that for each s and t there exist
s a regular radially Moore digraph of degree t with radius s. Moreover
, we give an upper bound for the number of central nodes in radially M
oore digraphs with degree two.