A process is described for the fabrication, through electrodeposition, of FexCoyNiz (x=60-71, y=25-35, z=0-5) films that have, in their as-deposited form, a saturation magnetization of at least 24 kG and a coercivity of less than 0.3 Oe. A key feature is the addition of aryl sulfinates to the plating bath along with a suitable seed layer.