fc1 = ur'D:polygons1.shp'
fc2 = ur'D:polygons2.shp'
fields = ['SHAPE@','code']
with arcpy.da.UpdateCursor(fc1,fields) as cur1:
    with arcpy.da.SearchCursor(fc2,fields) as cur2:
        for row1 in cur1:
            for row2 in cur2:
                row1[1] = row2[1] if(row1[0]==row2[0]) else ''
            cur1.updateRow(row1)