Some Disjoint Golomb Rectangles

A Golomb rectangle is an N × M array of ones and zeros such that the differences between the positions of every pair of ones in the rectangle, considered as vector, are distinct. Given a rectangle N × M, if a coloring c is used with N colors, of which each coloring induces a Golomb Rectangle, it is called an (N, M)-Golomb rectangle. In this note, by computer search, we obtain some (N, M)-Golomb rectangles for various parameters N, M.