A semiconductor memory has a gate electrode and a pair of multilayer memory elements formed on side surfaces of the gate electrode. Each multilayer memory element includes, in sequence from the gate electrode outward, a first silicon oxide layer, a charge trapping silicon nitride layer, a second silicon oxide layer, all with L-shaped cross sections, and a protective silicon nitride layer with an approximately rectangular cross section seated in the L-shape of the second silicon oxide layer. The protective silicon nitride layer protects the charge trapping silicon nitride layer from etching damage during the formation of contact holes without adding to the area occupied by the memory cell.